기탄수학 K3 답지 정답

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(1)

① 8 ② -5 ③ 3 ④ 0 ⑤ -19 ⑥ -11 ⑦ 1 ⑧ -10 ⑨ -2 ⑩ 12 ⑪ 10 ⑫ -20 <풀이> ※ 덧셈과 뺄셈이 혼합된 식의 계산은 괄호를 푼 후, 앞에서부터 차례대로 계산한다. ① 9-10-(-9)=9-10+9=-1+9=8 ② (-25)+50+(-30)=-25+50-30=25-30=-5 ③ (-10)-(-5)-(-8)=-10+5+8=-5+8=3 ④ 10+(-20)+4+6=10-20+4+6 =-10+4+6 =-6+6=0 ⑤ -(-4)-6+(-8)-9=4-6-8-9 =-2-8-9 =-10-9=-19 ⑥ 4-(-9)+(-8)+(-16)=4+9-8-16 =13-8-16 =5-16=-11 ※ 덧셈과 뺄셈이 혼합된 식의 계산은 괄호를 푼 후, 양수는 양수끼리 음수는 음수끼리 계산 할 수도 있다. ⑦ (-13)-(-9)+5=-13+9+5=-13+14=1 <다른 풀이> (-13)-(-9)+5=-13+9+5 =-4+5=1 ⑧ 18+(-41)-(-13)=18-41+13=31-41=-10 ⑨ -(-28)+(-16)+(-14)=28-16-14 =28-30=-2 ⑩ -7+9-5-(-15)=-7+9-5+15=-12+24=12 ⑪ -24-(-25)+25+(-16)=-24+25+25-16 =-40+50=10 ⑫ (-38)+(-52)-(-80)+(-10) =-38-52+80-10 =-100+80=-20 ① 7 ② 2 ③ -5 ④ 3.6 ⑤ -10 ⑥ -11 ⑦ -10 ⑧ 16 ⑨ 0 ⑩ 15 ⑪ -20 ⑫ -5 <풀이> ※ 덧셈과 뺄셈이 혼합된 식의 계산은 괄호를 푼 후, 앞에서부터 차례대로 계산하거나, 양수 는 양수끼리 음수는 음수끼리 계산하거나 또는 순서를 바꾸어 계산할 수도 있다. ① 4 ② -17 ③ 13 ④ 0 ⑤ -6 ⑥ 3 ⑦ 9 ⑧ -13 ⑨ 7 ⑩ -1.5 ⑪ 0 ⑫ -1.2 <풀이> ※ 덧셈과 뺄셈이 혼합된 식의 계산은 괄호를 푼 후, 순서를 바꾸어 계산할 수도 있다. ① 4-(-11)-11=4+11-11=4 ② (-17)-20-(-20)=-17-20+20=-17 ③ 13+(-12)+5-(-7) =13-12+5+7=13-12+12=13 ④ -17-(-8)-(-6)+3=-17+8+6+3=-9+9=0 ⑤ -(-15)-5+(-10)+(-6) =15-5-10-6=15-15-6=-6 ⑥ -(-18)-(-3)+(-9)+(-9) =18+3-9-9=18+3-18=3 ⑦ 3-(-13)+9+(-5)-11 =3+13+9-5-11=16+9-16=9 ⑧ -10-(-3)+(-9)-(-16)-13 =-10+3-9+16-13=-19+19-13=-13 ⑨ -(-7)-12+(-9)+6-(-15) =7-12-9+6+15=7-21+21=7 ⑩ -(-8)+6-1.5+(-14) =8+6-1.5-14=14-1.5-14=-1.5 ⑪ 4.2+(-17.2)-(-9)+4 =4.2-17.2+9+4=-13+13=0 ⑫ -4-(-1.44)+(-1.2)-(-3.1)-0.54 =-4+1.44-1.2+3.1-0.54 =-4.54+4.54-1.2=-1.2 0 0 +12 -9 -15 0 -18 0 16 -21 +21 -13 +13 0 -16 0 14 0 0 +19 -19 +4.54 -4.54 +9 0 0

(2)

① 15-(-7)+(-9)-6=15+7-9-6=15+7-15=7 <다른 풀이 1> 15-(-7)+(-9)-6 =15+7-9-6=22-9-6 =13-6=7 <다른 풀이 2> 15-(-7)+(-9)-6 =15+7-9-6=22-15=7 ② 8-13-(-7)=8-13+7=15-13=2 ③ -4-7-(-9)+5+(-8)=-4-7+9+5-8 =-19+14=-5 ④ -(-9)-(-3.6)-(-9)+(-18) =9+3.6+9-18=18+3.6-18=3.6 ⑤ -(-13)-(-7)+(-30)=13+7-30=20-30=-10 ⑥ -11+(-6)-8+9+5=-11-6-8+9+5 =-11-14+14=-11 ⑦ 20-15+10+(-25)=20-15+10-25 =30-40=-10 ⑧ -13-(-16)+7+(-15)-(-21) =-13+16+7-15+21=-28+16+28=16 ⑨ 6+(-15)-(-9)=6-15+9=15-15=0 ⑩ (-17)-(-19)-(-16)-(-10)+(-13) =-17+19+16+10-13=-30+45=15 ⑪ -(-23)+(-6)+(-17)-20 =23-6-17-20=23-23-20=-20 ⑫ 0.5+(-4.28)-(-6)+(-5)+(-2.22) =0.5-4.28+6-5-2.22=6.5-6.5-5=-5 ① ② - ③ - ④ 0 ⑤ -⑥ ⑦ - ⑧ ⑨ - ⑩ 5 24 5 18 5 24 1 12 17 20 1 15 1 8 25 42 31 60 <풀이> ※ 덧셈과 뺄셈이 혼합된 식의 계산은 괄호를 푼 후, 양수는 양수끼리 음수는 음수끼리 계산 할 수도 있다. ① - -&- *+ =- + + =- + + =- + =

② & *+& *+& *=

-= - -= - =-25 42 49 42 24 42 28 42 21 42 24 42 2 3 1 2 4 7 2 3 1 2 4 7 31 60 55 60 24 60 15 60 40 60 24 60 1 4 2 3 2 5 1 4 2 3 2 5 ③ +&- *+ = - + = - + = - =-④ - -&- *+&- *=- + -=- + -=- + =0 ⑤ - -&- *-&- *=- + + =- + + =- + =-⑥ & * = + -= + -= - =

⑦ -&- *+&- *-&- *= - +

= - + = - =-⑧ &- *- -&- *=- - + =- - + =- + = ⑨ + +& *= + -=- + -=- + =⑩ & * +& *= -= - -= -=5 24 16 24 21 24 4 24 12 24 21 24 1 6 1 2 7 8 1 6 1 2 7 8 5 18 15 18 20 18 12 18 15 18 8 18 2 3 5 6 4 9 2 3 5 6 4 9 5 24 14 24 9 24 14 24 3 24 6 24 7 12 1 8 1 4 7 12 1 8 1 4 1 12 10 12 9 12 3 12 10 12 6 12 1 4 5 6 1 2 1 4 5 6 1 2 17 20 8 20 25 20 8 20 10 20 15 20 2 5 1 2 3 4 2 5 1 2 3 4 1 15 13 15 14 15 3 15 10 15 14 15 1 5 2 3 14 15 1 5 2 3 14 15 8 10 8 10 5 10 8 10 3 10 1 2 4 5 3 10 1 2 4 5 3 10 1 8 7 8 6 8 2 8 7 8 4 8 1 4 7 8 1 2 1 4 7 8 1 2

(3)

① - ② 1 ③ - ④ ⑤ 0 ⑥ -1 ⑦ ⑧ - ⑨ ⑩ -15 36 7 15 9 28 1 3 11 40 3 8 7 12 1 24 1 20 <풀이> ※ 괄호를 푼 후, 양수는 양수끼리 음수는 음수 끼리 계산할 수도 있다. ① - -&- *-&- *=- + + =- + + =- + =-② +&- *+ = - + = - + = - = =1

③ & *+& *+& *=

-= - -= - =④ & *& * = + -=- + -=- + = = ⑤ - -&- *+ =- + + =- + + =- + =0 ⑥ +&- *+&- *= -= - -= - =- =-1 ⑦ - + +&- *=- + -=- + -=- + = =1 3 10 30 28 30 18 30 15 30 28 30 3 30 1 2 14 15 1 10 1 2 14 15 1 10 11 40 51 40 71 40 20 40 36 40 35 40 20 40 9 10 7 8 1 2 9 10 7 8 1 2 3 6 3 6 1 6 2 6 3 6 1 6 1 3 1 2 1 6 1 3 1 2 3 8 9 24 20 24 11 24 8 24 20 24 3 24 1 3 5 6 1 8 1 3 5 6 1 8 7 12 17 12 10 12 8 12 9 12 10 12 2 3 3 4 5 6 2 3 3 4 5 6 1 24 25 24 3 24 28 24 12 24 3 24 16 24 1 2 1 8 2 3 1 2 1 8 2 3 1 20 9 20 10 20 5 20 4 20 10 20 1 4 1 5 1 2 1 4 1 5 1 2 ① 5, 2, 0 ② 0 ③ 1 ④ -1 ⑤ -⑥ 1 ⑦ 5, 2,-1⑧ 1 ⑨ 0 ⑩ 2 ⑪ 1 ⑫ -12 5 2 5 2 5 2 5 2 5 2 5 ⑧ &- *+&- *-&- *=- - +

=- - + =- + =-⑨ -&- *- -&- *= - + = - + = - = = ⑩ - +&- *-&- *=- - + =- - + =- + =- =-15 36 41 36 6 36 47 36 6 36 21 36 26 36 1 6 7 12 13 18 1 6 7 12 13 18 7 15 14 30 10 30 24 30 15 30 10 30 9 30 1 2 1 3 3 10 1 2 1 3 3 10 9 28 12 28 21 28 12 28 14 28 7 28 3 7 1 2 1 4 3 7 1 2 1 4 <풀이> ① + +&- *= + - = - =0 ② - - -&- *=- - + =- + =0 ③ +&- *-&- *= - + = - =1 ④ &- *- +&- *=- - -=- =- =-1

⑤ -&- *+&- *+&- *= -

-= -=- =-2 5 4 10 9 10 5 10 7 10 2 10 5 10 7 10 1 5 1 2 2 5 7 5 14 10 7 10 2 10 5 10 7 10 1 5 1 2 2 10 12 10 7 10 2 10 5 10 7 10 1 5 1 2 7 10 7 10 7 10 2 10 5 10 7 10 1 5 1 2 7 10 7 10 7 10 2 10 5 10 7 10 1 5 1 2

(4)

② -&-1 *+1 - =1 +1 -=2 - =2 ③ 1 +&-1 *+&- *=1 -1 -=1 -1 =- =-④ -&-1 *-1 -&- *=1 -1 + =1 -1 =2 -1 =1

⑤ &-1 *-&-1 *+&- *=-1 +1

-=-1 +1

=-2 +1

=-1

⑥ -&-1 *-&-1 *-&- *=1 +1 +

=2 =2 =3 ⑦ 1 -&-1 *-1 =1 +1 -1 =2 -1 =1 ⑧ -1 +1 +&-1 *=-1 +1 -1 =-2 +1 =-3 +1 =-2 ⑨ &-1 *-&-1 *+1 =-1 +1 +1 =-1 +2 =1 =1 ⑩ 1 -&-1 *-&-1 *=1 +1 +1 =3 =3 =42 5 7 5 14 10 7 10 2 10 5 10 7 10 1 5 1 2 2 5 4 10 9 10 5 10 7 10 2 10 5 10 7 10 1 5 1 2 2 10 2 10 2 10 12 10 7 10 2 10 5 10 7 10 1 5 1 2 7 10 7 10 7 10 2 10 5 10 7 10 1 5 1 2 2 5 7 5 14 10 7 10 2 10 5 10 7 10 1 5 1 2 2 10 2 10 2 10 12 10 7 10 2 10 5 10 7 10 1 5 1 2 2 10 2 10 2 10 12 10 7 10 2 10 5 10 7 10 1 5 1 2 2 5 4 10 9 10 5 10 7 10 2 10 5 10 7 10 1 5 1 2 7 10 7 10 7 10 2 10 5 10 7 10 1 5 1 2 ① 5, 2, -3 ② 2 ③ - ④ 1 ⑤ -1 ⑥ 3 ⑦ 5, 2, 1 ⑧ -2 ⑨ 1 ⑩ 4 ⑪ -1 ⑫ -12 5 2 5 2 5 2 5 2 5 2 5

⑥ -&- *-&- *-&- *= + +

= = =1 ⑦ - +&-1 *+ =- -1 + =-1 + =-1 ⑧ - +1 -&- *=- +1 + =- +1 =1 =1 ⑨ &- *-&-1 *- =- +1 -=- +1 =-1 +1 =0 ⑩ -&-1 *-&- *= +1 + =1 =1 =2

⑪ -&- *-&-1 *+&- *= +1

-=1 - =1

⑫ -&- *+&-1 *+&- *= -1

-= -1 =-1 =-12 5 4 10 9 10 5 10 7 10 2 10 5 10 7 10 1 5 1 2 7 10 7 10 7 10 2 10 5 10 7 10 1 5 1 2 2 5 7 5 14 10 7 10 2 10 5 10 7 10 1 5 1 2 2 10 2 10 2 10 12 10 7 10 2 10 5 10 7 10 1 5 1 2 2 5 4 10 9 10 5 10 7 10 2 10 5 10 7 10 1 5 1 2 7 10 7 10 7 10 2 10 5 10 7 10 1 5 1 2 2 5 7 5 14 10 7 10 2 10 5 10 7 10 1 5 1 2 <풀이> ① &-1 *-1 - =-1 -1 -=-2 =-2 =-32 5 7 5 14 10 7 10 2 10 5 10 7 10 1 5 1 2

(5)

<풀이>

① - -&- *= - +

= - =

② -&- *-&- *+&- *= +

-= - =0 ③ &- *-&- *-3 =- + -3 =-3 + =-3 =-3 ④ - -2 + =- -2 + =-2 + =-2 =-2 ⑤ 2 +& *+& *=2 -=-2 =-4 ⑥ &- *+2 -&-1 *=- +2 +1 =- +3 =3 =31 3 2 6 7 6 5 6 3 6 4 6 5 6 1 2 2 3 5 6 1 8 17 8 7 8 4 8 6 8 7 8 1 2 3 4 8 21 16 42 21 42 37 42 21 42 28 42 9 42 1 2 2 3 3 14 5 9 10 18 3 18 13 18 4 18 3 18 9 18 2 9 1 6 1 2 10 12 10 12 10 12 7 12 3 12 5 6 7 12 1 4 1 30 20 30 21 30 6 30 20 30 15 30 1 5 2 3 1 2 ⑦ 1 - -1 =1 - -1 =1 -1 =-⑧ -2 +&-1 *+ =-2 -1 + =-3 + =-3 =-3 ⑨ 1 +&-5 *-&-2 *=1 -5 +2 =3 -5 =-2

⑩ -&-3 *-&-1 *-&-2 *

=3 +1 +2 =6 =729 48 77 48 9 48 44 48 24 48 3 16 11 12 1 2 1 20 18 20 17 20 12 20 18 20 5 20 3 5 9 10 1 4 3 4 9 12 9 12 18 12 9 12 10 12 8 12 3 4 5 6 2 3 19 24 25 24 6 24 16 24 9 24 6 24 2 3 3 8 1 4 <풀이> ① -5 -&- *+2 =-5 + +2 =-5 +2 =-3 =-3 ② - -&-4 *-&- *=- +4 + =- +4 =- +3 =3 ③ - + - =- + -=- + =- =-5 6 10 12 10 12 20 12 9 12 10 12 11 12 3 4 5 6 11 12 77 90 122 90 45 90 32 90 45 90 12 90 20 90 45 90 2 15 2 9 1 2 1 5 6 30 14 30 20 30 5 30 9 30 20 30 1 6 3 10 2 3

⑪ &-1 *+&-1 *-&-1 *=-1 -1 +1

=-2 +1 =-1

⑫ -&-1 *+&-1 *+&-1 *=1 -1 -1

=1 -2 =-1 =-12 5 4 10 9 10 5 10 7 10 2 10 5 10 7 10 1 5 1 2 7 10 7 10 7 10 2 10 5 10 7 10 1 5 1 2 ① ② 0 ③ -3 ④ -2 ⑤ -4 ⑥ 3 ⑦ - ⑧ -3 ⑨ -2 ⑩ 729 48 1 20 3 4 19 24 1 3 1 8 8 21 5 9 1 30 ① -3 ② 3 ③ - ④ -2 ⑤ 0 ⑥ - ⑦ 3 ⑧ -1 ⑨ 3 ⑩ -17 8 19 28 11 18 1 4 1 36 23 24 5 6 77 90 1 5

(6)

<풀이> ※ 덧셈과 뺄셈이 혼합된 식의 계산은, 괄호를 푼 후에 자연수(소수)는 자연수(소수)끼리, 분수 는 분모가 같은 수끼리 먼저 계산할 수도 있다. ① -(-7)+&- *-10+6 =7- -10+6 =-3+6 =3 ② -3 +(-5)+(-5)+&-2 *=-3 -5-5-2 =-6-10=-16 ③ -&-4 *+&-5 *-&- *-&- *

=4 -5 + + =-1+1=0 ④ -1 -1 -&-7 *-1 =-1 -1 +7 -1 =-2 +6=3 ⑤ 5 (4)+1 +& *=5 +4+1 -=-6+4+1 2+1 =-⑥ -&-2 *+6 +(-2)+ +&-5 * =2 +6 -2+ -5 =-3 +7-2=-3 +5=1 ⑦ -4+&-1 *-&-7 *+&-2 *-6

=-4-1 +7 -2 -6 =-10-4+7 =-14+7 =-6

⑧ -&-5 *-&-8 *-6 -4.6+(-2.4)-&-4 * =5 +8 -6 -4.6-2.4+4 =13 -2-7=13 -9 =44 7 4 7 4 7 1 2 1 2 3 7 1 7 1 2 1 2 3 7 1 7 1 3 2 3 2 3 5 8 2 3 3 8 5 8 2 3 3 8 5 9 4 9 4 9 8 9 7 10 3 10 4 9 8 9 7 10 3 10 4 9 1 2 1 2 1 2 5 6 1 2 1 6 5 6 1 2 1 6 1 3 2 3 1 3 3 4 3 4 1 3 1 3 3 4 3 4 1 3 7 9 2 9 1 8 1 8 7 9 2 9 1 8 1 8 1 3 2 3 1 3 2 3 3 7 3 7 5 7 2 7 5 7 2 7

④ -&-2 *+&-1 *+&-4 *=2 -1 -4

=2 -5 =2 -4 =-2 ⑤ -&- *+ +&-1 *= + -1 = -1 =1 -1 =0 ⑥ 2 +&-3 *-&-1 *=2 -3 +1 =3 -3 =-⑦ -1 -&-5 *-1 =-1 +5 -1 =-2 +5 =3 =3 ⑧ -&-2 *-&-2 *-6 =2 +2 -6 =4 -6 =5 -6 =-1 ⑨ -2 +3 +2 =-2 +3 +2 =-2 +5 =3

⑩ &-1 *+&-2 *-&-1 *

=-1 -2 +1 =-3 +1 =-2 +1 =-1 =-17 8 21 24 20 24 41 24 20 24 17 24 20 24 3 24 14 24 5 6 1 8 7 12 19 28 26 28 7 28 14 28 12 28 7 28 1 2 3 7 1 4 11 18 12 18 1 18 12 18 19 18 12 18 9 18 10 18 2 3 1 2 5 9 1 4 3 12 10 12 7 12 3 12 10 12 4 12 1 4 5 6 1 3 1 36 16 36 15 36 6 36 16 36 9 36 1 6 4 9 1 4 3 6 3 6 3 6 9 6 3 6 5 6 4 6 1 2 5 6 2 3 23 24 43 24 20 24 19 24 20 24 3 24 16 24 20 24 1 8 2 3 5 6 ① 3 ② -16 ③ 0 ④ 3 ⑤ -⑥ 1 ⑦ -6 ⑧ 44 7 1 3 5 9 1 2 1 3 3 7

(7)

<풀이>

① - +3 - + =- +3 - +

=- +3 =3

② -&-2 *-&- *+&-2 *+&-1 *

=2 + -2 -1 =2 -4=2 -4=-1 ③ -2 -&- *+5 +&- * =2 + +5 -=-2 + +5 -=-2 +5 =-3 +5 =2

④ 1 +&-3 *+&-4 *-&-2 *

=1 -3 -4 +2 =1 -3 -4 +2 =3 -7 =3 -6 =-3 ⑤ -3 -&- *-2 = -3 + -2 =1-6=-5

⑥ -1 -&-3 *+&-2 *-&-1 *

=-1 +3 -2 +1 =-1 +3 -2 +1 =-3 +4 =-3 +3 =27 28 52 28 25 28 24 28 25 28 10 28 4 28 14 28 21 28 5 14 1 7 1 2 3 4 5 14 1 7 1 2 3 4 11 17 5 13 6 17 8 13 11 17 5 13 6 17 8 13 21 32 46 32 25 32 14 32 25 32 20 32 6 32 8 32 5 32 5 8 3 16 1 4 5 32 5 8 3 16 1 4 5 32 13 16 14 16 1 16 14 16 17 16 5 16 8 16 6 16 12 16 5 16 1 2 3 8 3 4 5 16 1 2 3 8 3 4 3 5 2 5 10 25 11 16 5 16 7 25 3 25 11 16 5 16 7 25 3 25 1 12 8 12 7 12 2 12 3 12 6 12 4 12 1 6 1 4 1 2 1 3 ⑦ - - +3 + =- - +3 + =- +3 =-1 +3 =2 ⑧ -&-4 *-5 +&-3 *+2 =4 -5 -3 +2 =4 -5 -3 +2 =6 -8 =-2 19 24 19 24 11 24 15 24 4 24 8 24 11 24 5 8 1 6 1 3 11 24 5 8 1 6 1 3 9 20 15 20 6 20 15 20 26 20 5 20 10 20 12 20 14 20 1 4 1 2 3 5 7 10 <풀이> ① (8-4)+(-5-6)=4+(-11)=4-11=-7 ② (-2+9)-(10-5)=7-5=2 ③ (-4-3)+(5-9)=-7+(-4)=-7-4=-11 ④ (2-6)-(-7+11)=-4-4=-8 ⑤ -(-3+1)+(-4+6)=-(-2)+2=2+2=4 ⑥ -(12-8)-(6+9)=-4-15=-19 ⑦ (2+4-10)+(-7+5-6)=-4+(-8) =-4-8=-12 ⑧ (5-6+6)-(-15+9+3)=5-(-3)=5+3=8 ⑨ (-3-6-2)+(20-2-5)=-11+13=2 ⑩ (4-10+3)-(5+2-8)=-3-(-1)=-3+1=-2 ⑪ -(5+6-4)+(-7-8+9)=-7+(-6) =-7-6=-13 ⑫ -(3-8-5)-(9-20+7)=-(-10)-(-4) =10+4=14 ① 3 ② -1 ③ 2 ④ -3 ⑤ -5 ⑥ ⑦ 29 ⑧ -2 20 27 28 21 32 13 16 3 5 1 12 ① - ② ③ ④ -1 ⑤ ⑥ - ⑦ 2 ⑧ -11 20 1 4 7 36 1 6 7 40 3 10 37 60 1 6 ① -7 ② 2 ③ -11 ④ -8 ⑤ 4 ⑥ -19 ⑦ -12 ⑧ 8 ⑨ 2 ⑩ -2 ⑪ -13 ⑫ 14

(8)

<풀이>

① &- + *+& - *=&- + *+& - *

=- + =0

② &- - *-& + *=&- - *-& + *

=-

-=- =-1

③ -& + *+&-1+ *=-& + *+&- *

=-

-=-

=-④ -&- + *-& - *=-&- + *-& - *

=- -&- *

=- + = =

⑤ &- - *+& + *=&- - *+& + * =- +

+

=-⑥ -&- + *+& - *=-&- + *+& - *

=-&- *+&- * = - = - = ⑦ & - *-&- + *=& - *-&- + *

= = -= - - =-⑧ -&- - *-&- - * =-&- - *-&- - * =-&-1 *-&- * =1 + =117 20 11 20 6 20 11 20 3 10 6 20 5 20 8 10 5 10 3 10 1 4 4 5 1 2 1 4 2 4 1 4 1 2 1 4 3 6 1 4 5 6 2 6 2 4 3 4 5 6 1 3 1 2 3 4 1 6 1 6 2 6 1 6 1 3 1 6 4 12 3 6 2 6 5 12 9 12 1 2 1 3 5 12 3 4 1 8 6 8 7 8 3 4 7 8 1 4 2 4 1 8 6 8 1 4 1 2 1 8 3 4 1 9 2 18 5 18 3 18 5 18 1 6 14 18 9 18 5 6 4 6 7 9 1 2 5 6 2 3 4 5 12 15 1 15 11 15 1 15 6 15 5 15 14 15 2 5 1 3 5 14 19 14 10 14 9 14 7 14 3 14 2 14 7 14 1 2 3 14 1 7 1 2 3 10 3 10 6 10 9 10 2 10 5 10 3 5 9 10 1 5 1 2 <풀이>

① 1+&- - *=1+&- - *=1+&- * =1-1 =-② -& - *= -& - *= -= - = ③ - +&- + *=- +&- + * =- + =- + = = ④ - -& + *=- -& + * =- - =- -=- =-1

⑤ +&- + *= +&- + *= +&- *

= - = =

⑥ - +& + *=- +& + *=- +

=- +

=-⑦ -&- - *= -&- - *= -&- *

= +1 =1 =1 =2 ⑧ - -& - *=- -& - * =- -&- *=- + =- + =-11 20 4 20 15 20 1 5 3 4 3 15 3 4 5 15 2 15 3 4 1 3 2 15 3 4 1 4 5 4 15 12 5 12 10 12 17 12 5 6 8 12 9 12 5 6 2 3 3 4 5 6 7 36 21 36 28 36 7 12 7 9 6 12 1 12 7 9 1 2 1 12 7 9 1 6 5 30 13 30 18 30 13 30 3 5 2 30 15 30 3 5 1 15 1 2 3 5 7 40 47 40 27 40 20 40 27 40 1 2 12 40 15 40 1 2 3 10 3 8 1 2 3 10 9 30 14 30 5 30 7 15 1 6 10 15 3 15 1 6 2 3 1 5 1 6 37 60 3 60 40 60 1 20 2 3 5 20 6 20 2 3 1 4 3 10 2 3 1 6 1 6 7 6 3 6 4 6 1 2 2 3 ① 0 ② -1 ③ - ④ ⑤ -⑥ ⑦ - ⑧ 117 20 1 4 1 6 1 8 1 9 4 5 5 14

(9)

<풀이> ① 2×32=2×3×3=18 ② 22×(-2)3=-(2×2×2×2×2)=-32 ③ (-1)6×24=+(1×1×1×1×1×1×2×2×2×2) =16 ④ (-3)3×(-2)2=-(3×3×3×2×2)=-108 ⑤ 42×(-3)2=+(4×4×3×3)=144 ⑥ (-2)5×2=-(2×2×2×2×2×2)=-64 ⑦ (-1)3 ×(-4)3 =+(1×1×1×4×4×4)=64 ⑧ 25÷23= =4 ⑨ 34÷(-1)4=+ =81 ⑩ (-2)3 ÷32 =- =-⑪ (-4)6 ÷(-4)4 =+ =16 ⑫ 42÷(-2)5=- =-⑬ (-6)4÷34=+ =16 ⑭ (-9)2÷(-6)3=- =-3 8 9×9 6×6×6 6×6×6×6 3×3×3×3 1 2 4×4 2×2×2×2×2 4×4×4×4×4×4 4×4×4×4 8 9 2×2×2 3×3 3×3×3×3 1×1×1×1 2×2×2×2×2 2×2×2 <풀이> ① -& + *= -& + *= -= - =-② -5+&- +5 *=-5+&- +5 * =-5+5 = ③ 2 +&- - *=2 +&- - * =2 +&-1 *=2 -1 =2 -1 =1 ④ -4 -& -2 *=-4 -& -2 * =-4 -&-2 * =-4 +2 =-3 +2 =-1 =-1 ⑤ &- - *+& - * =&- - *+& - * =-1 + =-1 + =-1 ⑥ -& + *+&-5+2 * =-& + *+&-2 *=- -2 =- -2 =-2 =-39 40 49 40 24 40 25 40 3 5 5 8 3 5 2 8 3 8 2 5 1 4 3 8 19 36 2 36 21 36 1 18 7 12 9 18 10 18 10 12 9 12 1 2 5 9 5 6 3 4 7 8 35 40 9 40 44 40 9 40 4 40 9 40 1 10 25 40 16 40 1 10 5 8 2 5 1 10 19 30 6 30 25 30 1 5 5 6 2 10 5 6 5 10 7 10 5 6 1 2 7 10 5 6 11 18 11 18 15 18 4 18 5 6 2 9 17 60 27 60 10 60 9 20 1 6 4 20 5 20 1 6 1 5 1 4 1 6 ⑦ & -2*-&-1 -2 * =-1 -&-1 -2 *=-1 -&-4 * =-1 +4 =-1 +3 =2 =2 ⑧ -&3 +1 *-&-5+6 * =-&3 +1 *-1 =-4 -1 =-4 -1 =-5 =-5 =-61 22 23 22 46 44 13 44 33 44 13 44 3 4 13 44 2 4 1 4 13 44 1 2 1 4 3 4 9 12 14 12 5 12 2 12 5 12 1 6 5 12 4 6 3 6 5 12 2 3 1 2 7 12 ① - ② ③ 1 ④ -1 ⑤ -1 ⑥ -3 ⑦ 2 ⑧ -61 22 3 4 9 40 19 36 7 8 19 30 11 18 17 60 ① 18 ② -32 ③ 16 ④ -108 ⑤ 144 ⑥ -64 ⑦ 64 ⑧ 4 ⑨ 81 ⑩ -⑪ 16 ⑫ - ⑬ 16 ⑭ -3 8 1 2 8 9

(10)

<풀이> ① (-2)5×& *3=-&2×2×2×2×2× × × * =-4 ② & * 4 ×(-3)3 =-& × × × ×3×3×3* =-③ (-5)2×&- *4=+&5×5× × × × * = ④ &- *2×82=+& × ×8×8*=36

⑤ 62×&-1 *2=62×&- *2=+&6×6× × *=81

⑥ (-2)3 ×&-1 * 2 =(-2)3 ×&- * 2 =-&2×2×2× × * =- =-24 ⑦ & *2÷(-2)2=+ = ⑧ (-3)3÷&- *2=- =-75 ⑨ &- *3÷32=- =-⑩ 24÷&- *3 =-=-54 ⑪ &-2 *2÷(-4)2=&- *2÷(-4)2 =+ = ⑫ (-2)2÷&1 *2=(-2)2÷& *2 =+ = =21 4 9 4 2×2×3×3 4×4 4 3 1 3 25 64 5×5 2×2×4×4 5 2 1 2 2×2×2×2×3×3×3 2×2×2 2 3 3 64 3×3×3 4×4×4×3×3 3 4 3×3×3×5×5 3×3 3 5 1 9 2×2 3×3×2×2 2 3 1 2 49 2 7 4 7 4 7 4 3 4 3 2 3 2 3 2 1 2 3 4 3 4 3 4 16 25 2 5 2 5 2 5 2 5 2 5 1 3 1 3 1 3 1 3 1 3 1 3 1 2 1 2 1 2 1 2 ① -4 ② - ③ ④ 36 ⑤ 81 ⑥ -24 ⑦ ⑧ -75 ⑨ - ⑩ -54 ⑪ ⑫ 21 4 25 64 3 64 1 9 1 2 16 25 1 3 ① 10 ② - (-0.01) ③ 100 ④ - (-0.01) ⑤ 1 ⑥ - (-0.1) ⑦ - (-0.01) ⑧ (0.0001) ⑨ - (-0.001) ⑩ -100 ⑪ 1000 ⑫ 10000 1 1000 1 10000 1 100 1 10 1 100 1 100 <풀이> ① (-10)2 ×0.1=(-10)2 × =+&10×10× * =10 <다른 풀이> (-10)2×0.1=+(10×10×0.1)=10 ② 10×(-0.1)3 =10×&- * 3 =-&10× × × * =- (-0.01) ③ (-10)4×(-0.1)2 =(-10)4 ×&-* 2 =+&10×10×10×10× × * =100 ④ (-0.1)5×103 =&- * 5 ×103 =-& × × × × ×10×10×10* =- (-0.01) ⑤ (-0.1)2×102 =&- * 2 ×102=+& × ×10×10*=1 ⑥ (-0.1)4 ×(-10)3 =&- *4×(-10)3 =-& × × × ×10×10×10* =-1(-0.1) 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 100 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 100 1 10 1 10 1 10 1 10 1 10 1 10

(11)

<풀이>

① & *2×&- *3=-& × × × ×

*=-② &- *

2

×&- *

2

=+& × × × *=

③ &- *5×& *2=-& × × × × × × *

=-④ & * 2 ×& * 3 = × × × × =2 49 1 2 1 2 1 2 4 7 4 7 1 2 4 7 1 50 4 5 4 5 1 2 1 2 1 2 1 2 1 2 4 5 1 2 1 4 2 3 2 3 3 4 3 4 2 3 3 4 1 18 1 2 1 2 1 2 2 3 2 3 1 2 2 3 ⑤ &- * 3 ×&- * 2 =-& × × × × * =-⑥ &- *3÷&- *2=- =-⑦ & *3÷& *2= = =1 ⑧ & *2÷&- *3=- =-⑨ &- *3÷& *2 =-=- =-1 ⑩ &- * 4 ÷&- * 2 =+ = =27 9 25 9 5×5×5×5×12×12 6×6×6×6×5×5 5 12 5 6 2 25 27 25 3×3×3×8×8 4×4×4×5×5 5 8 3 4 2 3 4×4×3×3×3 9×9×2×2×2 2 3 4 9 19 45 64 45 4×4×4×5×5 5×5×5×3×3 3 5 4 5 2 9 1×1×1×4×4 2×2×2×3×3 3 4 1 2 8 75 3 5 3 5 2 3 2 3 2 3 3 5 2 3 <풀이>

① & *2×&- *4=+& × × × × × *

= ② &-1 * 2 ×&- * 3 =&- * 2 ×&- * 3 =-& × × × × *

=-③ &- *3×&2 *3=&- *3×& *3

=-& × × × × × * =-1 ④ &-2 *3×&-2 *3 =&- *3×&- *3 =+& × × × × × *=2168 3 8 3 8 3 9 4 9 4 9 4 8 3 9 4 2 3 1 4 5 2 5 2 5 2 2 5 2 5 2 5 5 2 2 5 1 2 2 5 3 4 3 4 3 4 3 4 4 3 4 3 3 4 4 3 3 4 1 3 1 25 3 5 3 5 3 5 3 5 5 9 5 9 3 5 5 9 ⑦ 0.1÷(-10)= ÷(-10) =- =- (-0.01) <다른 풀이> 0.1÷(-10)=0.1×&- * =-(0.1×0.1)=-0.01 ⑧ (-0.1)2÷102=&- *2÷102 =+ = (0.0001) ⑨ (-0.1)÷(-10)2 =&- *÷(-10)2 =-=- (-0.001) ⑩ 10÷(-0.1)=10÷&- *=-(10×10)=-100 ⑪ (-10)2÷0.1=(-10)2÷ =+(10×10×10)=1000 ⑫ (-10)2÷(-0.1)2=(-10)2÷&- *2 =+(10×10×10×10) =10000 1 10 1 10 1 10 1 1000 1 10×10×10 1 10 1 10000 1 10×10×10×10 1 10 1 10 1 100 1 10×10 1 10 ① - ② ③ - ④ ⑤ -⑥ - ⑦ 1 ⑧ - ⑨ -1 ⑩ 27 9 2 25 2 3 19 45 2 9 8 75 2 49 1 50 1 4 1 18 ① ② - ③ -1 ④ 216 ⑤ -4 ⑥ - ⑦ -36 ⑧ ⑨ - ⑩ 111 9 3 32 9 100 20 81 4 7 3 4 1 25

(12)

⑤ &-1 * 2 ×&-1 * 3 =&- * 2 ×&- * 3 =-& × × × × * =- =-4 ⑥ &- *3÷& *2=-

=-⑦ &-2 *3÷&- *4=&- *3÷&- *4

=-=-36 ⑧ & *2÷&-1 *4=& *2÷&- *4

=+ = ⑨ &-1 * 2 ÷&-2 * 3 =&- * 2 ÷&- * 3 =-

=-⑩ &-2 *4÷&-1 *2=&- *4÷&- *2 =+ = =111 9 100 9 5×5×5×5×8×8 2×2×2×2×15×15 15 8 5 2 7 8 1 2 3 32 4×4×3×3×3 3×3×8×8×8 8 3 4 3 2 3 1 3 9 100 5×5×3×3×3×3 6×6×5×5×5×5 5 3 5 6 2 3 5 6 9×9×9×4×4×4×4 4×4×4×3×3×3×3 3 4 9 4 3 4 1 4 20 81 5×5×5×6×6 9×9×9×5×5 5 6 5 9 4 7 32 7 8 7 8 7 8 7 7 4 7 4 8 7 7 4 1 7 3 4 ① 72 ② -27 ③ ④ 2 ⑤ -⑥ 1 ⑦ - ⑧ -1 ⑨ 2 ⑩ -1 2 1 8 3 8 1 2 1 4 1 12 <풀이> ① (-6)2÷(-4)4×83=+ =72 ② (-1)4×33×(-1)5 =-(1×1×1×1×3×3×3×1×1×1×1×1) =-27 ③ (-9)÷(-2)2 ÷(-3)3 =+ = ④ 62 ×(-4)4 ÷84 =+ = =21 4 9 4 6×6×4×4×4×4 8×8×8×8 1 12 9 2×2×3×3×3 6×6×8×8×8 4×4×4×4 <풀이> ① 22×(-3)×(-1)3÷(-4)2=+ = ② (-6)2÷13÷92×(-3)2=+ =4 ③ 42 ÷(-8)3 ×23 ×62 =-=-9 ④ (-1)6 ×(-3)2 ×(-1)2 ×(-2)3 =-(1×1×1×1×1×1×3×3×1×1×2×2×2) =-72 ⑤ 42 ÷22 ×(-3)2 ÷(-6)4 =+ = ⑥ (-2)3×52÷(-10)3×(-1)3 =- =-⑦ 64÷(-3)2÷(-9)2÷12=+ = =17 9 16 9 6×6×6×6 3×3×9×9×1×1 1 5 2×2×2×5×5×1×1×1 10×10×10 1 36 4×4×3×3 2×2×6×6×6×6 4×4×2×2×2×6×6 8×8×8 6×6×3×3 1×1×1×9×9 3 4 2×2×3×1×1×1 4×4 ⑤ 54÷(-10)4×(-2)3 =-⑥ 1×(-1)2×(-1)4=+(1×1×1×1×1×1×1)=1 ⑦ (-6)3÷32÷43=- =-⑧ (-4)2×32÷(-2)7 =-=- =-=-1 ⑨ (-6)3 ÷{(-3)3 ×(-2)2 }=+ =2 ⑩ (-10)2 ÷{(-2)3 ×52 }=- =-1 2 10×10 2×2×2×5×5 6×6×6 3×3×3×2×2 1 8 9 8 4×4×3×3 2×2×2×2×2×2×2 3 8 6×6×6 3×3×4×4×4 1 2 5×5×5×5×2×2×2 10×10×10×10 ① ② 4 ③ -9 ④ -72 ⑤ ⑥ - ⑦ 1 ⑧ -2 ⑨ 12 ⑩ -1 12 1 2 7 9 1 5 1 36 3 4

(13)

<풀이> ① -42+52-62=-16+25-36=9-36=-27 <풀이> ① -33+23=-27+8=-19 ② 22-(-4)2=4-16=-12 ③ -(-23 )+52 =-(-8)+25=8+25=33 ④ 32 +(-3)3 =9+(-27)=9-27=-18 ⑤ -34-24=-81-16=-97 ⑥ -(-2)4-42=-16-16=-32 ⑦ 102 -92 =100-81=19 ⑧ -33 -(-7)2 =-27-49=-76 ⑨ -(-34)-(-3)4=-(-81)-81=81-81=0 ⑩ 62-43=36-64=-28 ⑪ -82 +(-3)3 =-64+(-27)=-64-27=-91 ⑫ 102 -(-52 )=100-(-25)=100+25=125 ⑬ -33+26=-27+64=37 ⑭ -(-5)2+(-43)=-25+(-64)=-25-64=-89 ⑮ 25 +(-33 )=32+(-27)=32-27=5 � -(-2)4 +32 =-16+9=-7 <풀이> ① (-0.1)3 ÷(-10)=&- * 3 ÷(-10) =+ = (0.0001) ② (-2)5×3=-(2×2×2×2×2×3)=-96 ③ (-12)3÷{23×(-4)2 }=-=- =-13 ④ & *2×(-4)4=+& × ×4×4×4×4*=36 ⑤ &- *5×&-2 *2 =&- * 5 ×&- * 2 =-& × × × × × × * =- =-1 ⑥ 53÷&-7 *2=53÷&- *2 =+ = =22 9 20 9 5×5×5×2×2 15×15 15 2 1 2 11 16 27 16 8 3 8 3 3 4 3 4 3 4 3 4 3 4 8 3 3 4 2 3 3 4 3 8 3 8 3 8 1 2 27 2 12×12×12 2×2×2×4×4 1 10000 1 10×10×10×10 1 10 ⑦ &- * 3 ÷&- * 2 =- =-3 ⑧ 103 ×(-0.7)2 =103 ×&- * 2 =+&10×10×10× × * =490 ⑨ (-2)4÷(-4)3=- =-⑩ (-4)3÷63×(-3)2÷(-8)=+ =1 3 4×4×4×3×3 6×6×6×8 1 4 2×2×2×2 4×4×4 7 10 7 10 7 10 3×3×3×8×8 4×4×4×3×3 3 8 3 4 ⑧ (-10)2×(-8)÷42÷(-5)2=- =-2 ⑨ (-6)2×52÷{(-3)2×23}=+ = =12 ⑩ (-9)2÷{(-1)5×(-6)2×33 } =- =-1 12 9×9 1×1×1×1×1×6×6×3×3×3 1 2 25 2 6×6×5×5 3×3×2×2×2 10×10×8 4×4×5×5 ① (0.0001) ② -96 ③ -13 ④ 36 ⑤ -1 ⑥ 2 ⑦ -3 ⑧ 490 ⑨ -⑩1 3 1 4 2 9 11 16 1 2 1 10000 ① -19 ② -12 ③ 33 ④ -18 ⑤ -97 ⑥ -32 ⑦ 19 ⑧ -76 ⑨ 0 ⑩ -28 ⑪ -91 ⑫ 125 ⑬ 37 ⑭ -89 ⑮ 5 � -7 ① -27 ② 14 ③ -69 ④ -120 ⑤ -5 ⑥ - ⑦ 0 ⑧ ⑨ ⑩ -313 16 41 72 3 32 2 27

(14)

② -23-(-72)-33=-8-(-49)-27 =-8+49-27 =41-27=14 ③ 33 -43 +(-2)5 =27-64+(-32) =27-64-32 =-37-32=-69 ④ -(-10)2 +24 +(-62 )=-100+16+(-36) =-100+16-36 =-84-36=-120 ⑤ (-72)-(-9)2-(-5)3=-49-81-(-125) =-49-81+125 =-130+125=-5 ⑥ & *3-& *2= - = - =-⑦ &- *2- = - =0

⑧ -& *5-&- *3=- -&- *

=- +

=- + =

⑨ -&- *+& *2=-&- *+ = +

= + =

⑩ -&-1 *2-&-1 *2=-&- *2-&- *2

=- -=- -=- =-313 16 61 16 36 16 25 16 9 4 25 16 3 2 5 4 1 2 1 4 41 72 32 72 9 72 4 9 1 8 4 9 1 8 2 3 1 23 3 32 4 32 1 32 1 8 1 32 1 8 1 32 1 2 1 2 1 16 1 16 1 42 1 4 2 27 3 27 1 27 1 9 1 27 1 3 1 3

③ &- *2+&- *= +&- *= - =0

④ 32+(-52)-(-2)3=9+(-25)-(-8) =9-25+8 =-16+8=-8 ⑤ -&- *2- =- - =- - =-⑥ -(-2)5 -43 -(-102 )=-(-32)-64-(-100) =32-64+100 =-32+100=68 ⑦ -&- *-&-1 * 2 =-&- *-&- * 2 = - = -=- =-1 ⑧ -43+24=-64+16=-48

⑨ -&- *2+&-1 *2=-&- *2+&- *2 =- + =- + = =2 ⑩ -40-(-3)3 =-40-(-27)=-40+27=-13 5 36 77 36 81 36 4 36 9 4 1 9 3 2 1 3 1 2 1 3 8 45 53 45 80 45 27 45 16 9 3 5 4 3 3 5 1 3 3 5 43 50 35 50 8 50 7 10 4 25 7 10 2 5 1 4 1 4 1 4 1 4 1 22 1 2 <풀이> ① 50+(-4)3=50+(-64)=50-64=-14 ② -(-2)3+32=-(-8)+9=8+9=17 ① -14 ② 17 ③ 0 ④ -8 ⑤ -⑥ 68 ⑦ -1 ⑧ -48 ⑨ 25 ⑩ -13 36 8 45 43 50 ① -12 ② 17 ③ 10 ④ -9 ⑤ 0 ⑥ -20 ⑦ 12 ⑧ -30 ⑨ -10 ⑩ 2 ⑪ 0 ⑫ -10 ⑬ -12 ⑭ 2 ⑮ -13 � 5 <풀이> ① 5×(-4)+8=-20+8=-12 ② (-2)×(-6)+5=12+5=17 ③ -5+(-3)×(-5)=-5+15=10 ④ 7+4×(-4)=7+(-16)=7-16=-9 ⑤ 3×(-2)-(-6)=-6+6=0 ⑥ (-6)×3-2=-18-2=-20 ⑦ -8-4×(-5)=-8-(-20)=-8+20=12 ⑧ -9-(-3)×(-7)=-9-21=-30 ⑨ (-8)÷4+(-8)=-2-8=-10 ⑩ (-18)÷(-3)+(-4)=6-4=2 ⑪ 7+35÷(-5)=7+(-7)=7-7=0 ⑫ -5+(-15)÷3=-5+(-5)=-5-5=-10 ⑬ (-24)÷6-8=-4-8=-12

(15)

<풀이> ① 3-5×(-2)=3-(-10)=3+10=13 ② (-7)×(-3)+(-30)=21-30=-9 ③ (-16)÷2+4=-8+4=-4 ④ -2-27÷(-3)=-2-(-9)=-2+9=7 ⑤ 10+(-2)×4=10+(-8)=10-8=2 ⑥ -8+(-14)÷7=-8+(-2)=-8-2=-10 ⑦ 6×(-4)-(-4)=-24+4=-20 ⑧ (-28)÷(-4)-(-7)=7+7=14 ⑨ (-24)÷(-3)+(-2)=8-2=6 ⑩ -4+3×(-9)=-4+(-27)=-4-27=-31 ⑪ 9-27÷(-9)=9-(-3)=9+3=12 ⑫ (-2)×(-7)-(-8)=14+8=22 ⑬ 40÷(-8)-(-5)=-5+5=0 ⑭ (-8)×2+20=-16+20=4 ⑮ -10-(-4)×8=-10-(-32)=-10+32=22 � 5+(-50)÷5=5+(-10)=5-10=-5 ① 13 ② -9 ③ -4 ④ 7 ⑤ 2 ⑥ -10 ⑦ -20 ⑧ 14 ⑨ 6 ⑩ -31 ⑪ 12 ⑫ 22 ⑬ 0 ⑭ 4 ⑮ 22 � -5 <풀이> ① (-4)×6+(-2)×3=-24+(-6)=-24-6=-30 ② (-3)×(-3)+(-5)×(-5)=9+25=34 ③ 8×(-6)+(-35)÷7=-48+(-5) =-48-5=-53 ④ (-2)×2+(-40)÷(-4)=-4+10=6 ⑤ 64÷(-8)+(-4)×(-2)=-8+8=0 ⑥ (-72)÷(-9)+7×(-4)=8+(-28)=8-28=-20 ⑦ (-36)÷6+24÷(-8)=-6+(-3)=-6-3=-9 ① -30 ② 34 ③ -53 ④ 6 ⑤ 0 ⑥ -20 ⑦ -9 ⑧ 3 ⑨ 59 ⑩ -20 ⑪ -55 ⑫ -33 ⑬ 2 ⑭ 20 ⑮ -10 � 12 <풀이> ① (-21)÷3-18÷(-6)=-7-(-3)=-7+3=-4 ② (-6)×(-5)+(-36)÷4=30+(-9)=30-9=21 ③ 56÷(-8)-(-3)×(-8)=-7-24=-31 ④ (-42)÷(-7)+(-20)÷(-5)=6+4=10 ⑤ (-2)×8-(-9)×4=-16-(-36)=-16+36=20 ⑥ (-9)×5-(-21)÷(-7)=-45-3=-48 ⑦ 3×(-4)+(-7)×6=-12+(-42) =-12-42=-54 ⑧ (-56)÷(-7)+3×(-2)=8+(-6)=8-6=2 ⑨ (-24)÷4+(-6)×(-6)=-6+36=30 ⑩ 27÷(-3)-48÷(-8)=-9-(-6)=-9+6=-3 ⑪ (-5)×(-6)+(-9)×(-5)=30+45=75 ⑫ (-80)÷4-6×(-3)=-20-(-18) =-20+18=-2 ⑬ 4×(-7)+(-81)÷9=-28+(-9)=-28-9=-37 ⑭ (-32)÷(-8)+15÷(-5)=4+(-3)=4-3=1 ⑮ 2×(-7)-(-42)÷(-6)=-14-7=-21 � (-7)×(-2)-(-4)×9=14-(-36)=14+36=50 ① -4 ② 21 ③ -31 ④ 10 ⑤ 20 ⑥ -48 ⑦ -54 ⑧ 2 ⑨ 30 ⑩ -3 ⑪ 75 ⑫ -2 ⑬ -37 ⑭ 1 ⑮ -21 � 50 ① -18 ② 13 ③ -22 ④ -58 ⑤ -15 ⑥ -62 ⑦ 3 ⑧ 5 ⑨ -14 ⑩ 21 ⑪ -60 ⑫ -41 ⑬ 39 ⑭ -100 ⑮ 20 � -5 ⑭ 32÷(-4)-(-10)=-8+10=2 ⑮ -6-(-14)÷(-2)=-6-7=-13 � -4-45÷(-5)=-4-(-9)=-4+9=5 ⑧ (-40)÷(-5)+(-10)÷2=8+(-5)=8-5=3 ⑨ (-2)×(-5)-7×(-7)=10-(-49)=10+49=59 ⑩ 8×(-4)-4×(-3)=-32-(-12) =-32+12=-20 ⑪ (-9)×7-48÷(-6)=-63-(-8)=-63+8=-55 ⑫ 6×(-7)-(-18)÷2=-42-(-9)=-42+9=-33 ⑬ (-60)÷(-5)-(-5)×(-2)=12-10=2 ⑭ (-12)÷3-(-8)×3=-4-(-24)=-4+24=20 ⑮ 54÷(-9)-(-16)÷(-4)=-6-4=-10 � (-6)÷(-3)-(-70)÷7=2-(-10)=2+10=12

(16)

⑥ (-5)-&- *× =-5-&- * =-5+ =-4 ⑦ &- *÷(-6)-&- *=&- *×&- *+

= +

= + =

⑧ 5÷(-6)-2÷(-9)=- -&- *

=- +

=-⑨ 2×&- *-&- *÷6=- -&- *×

=- -&- *

=- +

=-

=-⑩ &- *×&- *-&- *×&- *

= - = - =1 6 2 6 3 6 1 3 1 2 4 9 3 4 5 6 3 5 1 6 5 30 4 30 9 30 2 15 3 10 1 6 4 5 3 10 4 5 3 20 11 18 4 18 15 18 2 9 5 6 14 15 12 15 2 15 4 5 2 15 4 5 1 6 4 5 4 5 4 5 2 5 3 5 3 5 2 3 9 10 <풀이> ① 4×(-7)+10=-28+10=-18 ② (-5)×(-8)-(-9)×(-3)=40-27=13 ③ (-28)÷7+(-2)×9=-4+(-18)=-4-18=-22 ④ -10-(-6)×(-8)=-10-48=-58 ⑤ 10+50÷(-2)=10+(-25)=10-25=-15 ⑥ (-8)×7-30÷5=-56-6=-62 ⑦ 45÷(-9)-(-32)÷4=-5-(-8)=-5+8=3 ⑧ -5-(-80)÷8=-5-(-10)=-5+10=5 ⑨ 15÷(-3)+(-9)=-5-9=-14 ⑩ 3×4+(-54)÷(-6)=12+9=21 ⑪ (-7)×8-4=-56-4=-60 ⑫ 12÷(-2)-7×5=-6-35=-41 ⑬ 7×9+3×(-8)=63+(-24)=63-24=39 ⑭ -28+9×(-8)=-28+(-72)=-28-72=-100 ⑮ (-40)÷(-8)-(-15)=5+15=20 � (-100)÷(-5)+100÷(-4)=20+(-25) =20-25=-5 ① -5 ② ③ ④ -1 ⑤ -⑥ -4 ⑦ ⑧ - ⑨ - ⑩1 6 1 6 11 18 14 15 2 5 1 2 7 12 7 24 1 12 1 4 <풀이> ① -3+ ×(-6)=-3+&- *=-3-2 =-5 ② 3÷(-4)+ =- + =- + = ③ (-5)÷(-12)+1÷(-8)= +&- * = - = ④ &- *× +(-10)× =- +&- * =- -=- =-1

⑤ ÷&- *+&- *×&- *= ×&- *+

=- + =- =-1 2 2 4 1 4 3 4 1 4 27 20 5 9 5 6 3 10 20 27 5 9 7 12 19 12 16 12 3 12 4 3 1 4 2 15 7 12 3 7 7 24 3 24 10 24 1 8 5 12 1 12 10 12 9 12 5 6 3 4 5 6 1 4 1 4 9 4 3 8 <풀이> ① &- *× + =- + =- + =-② (-6)÷&- *+8× =(-6)×&- *+ = + = =10 ③ - +(-2)÷(-9)=- + =- + =-19 36 8 36 27 36 2 9 3 4 3 4 30 3 10 3 20 3 10 3 10 9 5 12 9 10 1 20 1 20 2 20 1 20 1 10 1 20 4 15 3 8 ① - ② 10 ③ - ④ 4 ⑤ 10 ⑥ 0 ⑦ 3 ⑧ - ⑨ 8 ⑩ -1311 18 4 5 5 6 5 7 1 12 11 30 19 36 1 20

(17)

<풀이>

① 2+0.8×&-3 *=2+ ×&- *

=2+&- *=2-2 =-② &-1 *÷ -(-5.5)=&- *× -&-5 *

=- +5 =-1 +5 =4

③ ×(-10)+1.4×2 =- +1 ×

=-7 + × =-7 +3=-4 ④ -0.25+&- *÷&- *=- +&- *×&- *

=- + = = ⑤ 5 ×(-1.875)-1 = ×&-1 *-1 = ×&- *-1 =-10-1 =-11 ⑥ 4 ×(-2)+(-0.2)÷ = ×(-2)+&- *× =-9+&- *=-9- =-9 ⑦ &-1 *÷0.75- ÷&- * =&- *÷ - ×&- * =&- *× -(-4) =-2+4=2 4 3 3 2 24 5 5 6 3 4 3 2 5 24 5 6 1 2 2 3 2 3 2 3 10 3 1 5 9 2 3 10 1 2 3 7 3 7 3 7 15 8 16 3 3 7 7 8 16 3 3 7 1 3 1 2 2 4 3 4 1 4 9 2 1 6 1 4 2 9 1 6 1 2 1 2 15 7 7 5 1 2 15 7 2 5 15 2 1 7 3 4 1 2 1 2 1 2 3 2 1 2 4 3 9 8 3 4 1 8 2 3 2 3 8 3 10 3 4 5 1 3 ① - ② 4 ③ -4 ④ ⑤ -11 ⑥ -92 ⑦ 2 3 3 7 1 2 1 2 2 3

④ ÷(-6)-4÷&- *= ×&- *-4×&- *

=- -&- *

=- +

= =4

⑤ &- *×(-14)+&- *÷(-10)

=10+&- *×&- *=10+ =10

⑥ 6× -&- *×&-1 *= -&- *×&- *

= - =0

⑦ -2 ÷&- *= - ×&- *= -(-3)

= +3=3 ⑧ &-1 *÷ +&-3 *÷(-5)

=&- *× +&- *×&- *

+ +

=-⑨ 1 ×&-1 *-(-10)= ×&- *+10

=- +10 =-1 +10=8

⑩ 3 ÷&- *-&- *×&-1 *

= ×&- *-&- *×&- *

=- - =-12 -1 =-12 -1 =-1311 18 2 18 9 18 1 9 1 2 10 9 25 2 10 7 7 9 10 3 15 4 3 7 7 9 3 10 3 4 4 5 1 5 6 5 16 15 9 8 1 15 1 8 5 6 4 6 9 6 2 3 3 2 1 5 10 3 9 7 7 6 1 3 7 9 1 6 5 7 5 7 5 7 6 5 5 2 5 7 5 6 1 2 5 7 1 2 1 2 9 8 4 9 1 2 1 8 4 9 1 12 1 12 1 12 1 10 5 6 5 6 5 7 11 30 131 30 135 30 4 30 9 2 2 15 9 8 1 6 4 5 8 9 4 5 ① -1 ② -3 ③ 2 ④ - ⑤ -1 ⑥ 1 ⑦ 0 ⑧ -13 14 1 20 1 3 11 12 5 6

(18)

<풀이>

① 1 ×&- *+&- *= ×&- *= *= -=- =-1 ② (-6)÷1.6+&- *×&- *=(-6)÷1 + =(-6)× + =- + =- =-3 ③ 3 ×&-1 *-4 ×&-1 * = ×&- *- ×&- * =-4-(-6)=-4+6=2

④ - -&- *÷(-0.75)=- -&- *÷&- * =- -&- *×&- * =- - =- - =-⑤ 1.2÷&- *+(-12)÷(-18)=1 ×&- *+ = ×&- *+ =-2+ =-1 ⑥ - -&-1 *×1 =- -&- *× =- -&- *=- + =- + = =1 ⑦ 3 ×&-2 *-(-12)÷1 = ×&- *-(-12)× =- -&- * =- +15=0 2 15 2 15 2 15 2 5 8 9 4 10 3 3 5 1 4 1 3 1 20 21 20 25 20 4 20 5 4 1 5 5 4 1 5 15 14 7 6 1 5 1 14 1 6 1 5 1 3 2 3 2 3 5 3 6 5 12 18 5 3 1 5 3 5 11 12 8 12 3 12 2 3 1 4 4 3 1 2 1 4 3 4 1 2 1 4 1 2 1 4 4 3 9 2 6 5 10 3 1 3 1 2 1 5 1 3 12 4 3 4 15 4 3 4 5 8 3 4 3 5 9 10 5 6 5 6 11 6 2 6 9 6 1 3 3 2 1 3 6 7 7 4 1 3 6 7 3 4 ⑧ (-1.125)÷ + =&-1 *× + =&- *× + =- + =- + =-13 14 8 14 21 14 4 7 3 2 4 7 4 3 9 8 4 7 4 3 1 8 4 7 3 4 <풀이> ① & - *× =& - *× =&- *×

=-② &- *×&- - *=&- *×&- - *

=&- *×&- *=

③ &- + *÷ =&- + *×

= × =

④ &- *÷& + *=&- *÷& + *

=&- *÷

=&- *×

=-⑤ ×&- + *= ×&- + *

= ×&-

*=-⑥ & + *÷&- *=& + *×&- *

= ×&-

*=-⑦ &-1 *÷&- - *=&- *÷&- - *

=&- *÷&- * =&- *×&-18*=4 7 14 9 7 18 14 9 5 18 2 18 14 9 5 18 1 9 5 9 2 3 24 11 11 36 24 11 6 36 5 36 11 24 1 6 5 36 1 6 5 24 4 5 3 24 8 24 4 5 1 8 1 3 4 5 1 2 30 25 5 12 25 30 5 12 4 30 21 30 5 12 2 15 7 10 5 12 5 8 15 7 7 24 15 7 10 24 3 24 7 15 5 12 1 8 1 2 16 20 5 8 1 20 15 20 5 8 1 20 3 4 5 8 1 21 5 9 3 35 5 9 10 35 7 35 5 9 2 7 1 5 ① - ② ③ ④ - ⑤ -⑥ - ⑦ 4 ⑧ 11 2 2 3 1 6 1 2 5 8 1 2 1 21

(19)

<풀이>

① & + *×& - *=& + *×& - *

= ×&-

*=-② & - *×&- + *=& - *×&- + *

=&- *×&- *=

③ &- - *×& + *=&- - *×& + *

=&- *×

=-④ & + *÷&- - *=& + *÷&- - *

= ÷&- * = ×&- * =- =-1 ⑤ &- - *÷& - * =&- - *÷& - * =&- *÷&- * =&- *×&- * = =33 14 45 14 27 8 20 21 8 27 20 21 12 27 4 27 6 21 14 21 4 9 4 27 2 7 2 3 2 7 9 7 24 21 9 8 21 24 9 8 20 24 1 24 7 8 2 8 5 6 1 24 7 8 1 4 5 12 20 27 9 16 5 27 15 27 1 16 8 16 5 27 5 9 1 16 1 2 1 49 1 15 15 49 3 15 4 15 21 49 6 49 1 5 4 15 3 7 6 49 10 27 16 27 5 8 18 27 2 27 4 8 1 8 2 3 2 27 1 2 1 8 ① - ② ③ - ④ -1 ⑤ 3 ⑥5 9 3 14 2 7 5 12 1 49 10 27 <풀이> ① & + *×&- + * =& + *×&- + * = ×&- *=-② &- + *÷& + * =&- + *÷& + * = ÷ = × = ③ &2- *×&- - * =& - *×&- - * = ×&- * =- =-1 ④ & -2 *÷&1 - * =& -2 *÷&1 - * =&-2 *÷1 =&- *× =- =-21 5 11 5 14 15 33 14 1 14 5 14 1 14 2 14 8 14 3 14 1 14 1 7 4 7 3 14 3 7 10 7 5 6 12 7 2 6 3 6 2 7 14 7 1 3 1 2 2 7 7 10 21 11 11 30 11 21 11 30 4 21 7 21 18 30 7 30 4 21 1 3 3 5 7 30 11 32 9 20 55 72 7 20 16 20 54 72 1 72 7 20 4 5 3 4 1 72 ① - ② ③ -1 ④ -2 ⑤ 5 ⑥ -12 7 13 16 1 5 3 7 7 10 11 32

⑧ &-2 + *×&- *=&-2 + *×&- *

=&-2 *×&- * =&- *×&- * = =11 2 3 2 9 13 13 6 9 13 1 6 9 13 3 6 4 6 9 13 1 2 2 3 ⑥ &- + *÷&- + * =&- + *÷&- + * =&- *÷&- * =&- *×&- *=5 9 20 5 5 36 5 20 5 36 4 20 9 20 7 36 12 36 1 5 9 20 7 36 1 3

(20)

<풀이> ① ×&-2 *÷ = ×&- *× =- =-21 3 7 3 7 6 8 3 3 4 6 7 2 3 3 4 ⑤ &-1 -2 *×&-1 - * =&-1 -2 *×&-1 - *

=&-3 *×&-1 *=&- *×&- *

= =5 ⑥ &-1 +1 *÷&1 -1 * =&-1 +1 *÷&1 -1 * = ÷&- *= ×&- *=- =-12 7 9 7 15 2 6 35 2 15 6 35 5 15 3 15 20 35 14 35 1 3 1 5 4 7 2 5 13 16 93 16 31 20 15 4 11 20 3 4 7 20 4 20 2 4 1 4 7 20 1 5 1 2 1 4 <풀이> ① &- + *÷ =&- + *÷ =&- *× =-② &- - *×&- + * =&- - *×&- + * =&- *×&- *=

③ &-1 *×& -3*=&-1 *×&-2 *

=&- *×&- *= =2 ④ & +1 *÷&- - * =& +1 *÷&- - * =1 ÷&- * = ×&- * =- =-22 3 8 3 24 22 22 9 22 24 13 9 15 24 7 24 7 9 6 9 5 8 7 24 7 9 2 3 2 3 8 3 12 5 10 9 2 5 1 9 3 5 1 9 5 8 5 10 25 20 3 10 8 10 12 20 13 20 3 10 4 5 3 5 13 20 2 7 16 5 5 56 5 16 16 56 21 56 5 16 2 7 3 8 ① - ② ③ 2 ④ -2 ⑤ ⑥ - ⑦ - ⑧ -13 8 12 41 9 11 5 12 2 3 2 3 5 8 2 7 ⑤ &- + *×& -1 * =&- + *×& -1 * =&- *×&-1 * =&- *×&- * = ⑥ ÷&- - *= ÷&- - * = ÷&- * = ×&- * =-⑦ &2 -2 *÷&1 + * =&2 -2 *÷&1 + * =&- *÷1 =&- *× =-⑧ &-1 + *×1 =&-1 + *×1 =&-1 *×1 =&- *× =- =-13 8 11 8 9 7 77 72 2 7 5 72 2 7 28 72 33 72 2 7 7 18 11 24 12 41 45 82 8 15 37 45 8 15 12 45 25 45 9 15 1 15 4 15 5 9 3 5 1 15 9 11 21 22 6 7 22 21 6 7 15 21 7 21 6 7 5 7 1 3 6 7 5 12 25 21 7 20 4 21 7 20 18 21 14 21 5 20 12 20 6 7 2 3 1 4 3 5 ① -2 ② 1 ③ -20 ④ -9 ⑤ -⑥ 8 ⑦ -1 ⑧ 1 12 3 5 27 35 1 5 3 5 1 3

(21)

<풀이> ① ÷&- *× -(-9)× = ×&- *× -&- * =- + =- + =-② (-12)÷10÷{(-0.8)÷(-6)} =(-12)÷10÷“&- *×&- *‘ =(-12)÷10÷ =(-12)× × =-9

③ &-2 *÷&- *+(-5)=&- *×&- *-5

= -5=4 -5=-④ &- *÷(-1.125)÷2 =&- *÷&-1 *÷

=&- *×&- *× = ⑤ (-60)÷12+5÷(6-10)=-5+5÷(-4) =-5+&- * =-5-1 =-6 ⑥ 30×&- + - *=30×&- + - * =30×&- *=-29

⑦ &-1 *×&1 -3 *=&-1 *×&1 -3 *

=&- *×&-2 * =&- *×&- * = =2 ⑧ ×&- *+&- *÷2 =&- *+&- *× = +& *= -=-5 8 1 8 4 8 1 8 1 2 5 12 3 10 1 2 2 5 3 10 4 7 7 8 2 3 8 3 64 27 9 8 10 27 9 8 21 27 11 27 1 8 7 9 11 27 1 8 29 30 20 30 6 30 15 30 2 3 1 5 1 2 1 4 1 4 5 4 1 3 9 20 8 9 5 6 20 9 1 8 5 6 2 9 5 6 1 2 1 2 9 2 15 7 21 10 7 15 1 10 15 2 1 10 2 15 1 6 4 5 1 6 9 6 10 6 3 2 5 3 3 2 8 9 5 2 3 4 1 6 8 9 2 5 3 4 ② (-3)×(-2)÷{(-1.875)×(-2)} =6÷“&-1 *×(-2)‘ =6÷“&- *×(-2)‘ =6÷ =6× = =1 ③ &7 +1 *÷&- - * =&7 +1 *÷&- - * =8 ÷&- *=8 ÷&- * = ×&- *=-20 ④ 100÷(-3-7)+(-4)÷(-5)=100÷(-10)+ =-10+ =-9 ⑤ -1 -&-1 *×0.3=-1 -&- *× =-1 -&- * =-1 + =- + =-⑥ (-4)×3-(-7+5)×10=-12-(-2)×10 =-12-(-20) =-12+20=8 ⑦ 3 ÷“0.6×&-3 *‘=3 ÷“ ×&- *‘ =3 ÷(-2)= ×&- * =- =-1 ⑧ 30÷(-8)÷5÷(-9)=30×&- *× ×&- * =1 12 1 9 1 5 1 8 3 5 8 5 1 2 16 5 1 5 10 3 3 5 1 5 1 3 1 5 27 35 15 35 42 35 15 35 7 35 3 7 1 5 3 10 10 7 1 5 3 7 1 5 1 5 4 5 4 5 40 17 17 2 17 40 1 2 17 40 3 6 12 40 5 40 1 6 2 6 3 10 1 8 1 6 1 3 3 5 8 5 4 15 15 4 15 8 7 8 ① - ② -9 ③ - ④ ⑤ -6 ⑥ -29 ⑦ 2 ⑧ -5 8 2 3 1 4 1 3 1 2 1 6

(22)

⑧ &- + + *÷&-2 * =&- + + *×&- * =&- *×&- * =1 7 4 11 11 28 4 11 2 28 8 28 21 28 3 4 1 14 2 7 3 4 ① -1 ② -1 ③ 9 ④ 55 ⑤ -⑥ -1 ⑦ 1 ⑧1 7 1 3 9 10 4 25 2 7 1 4 <풀이> ① 5×3÷(-0.5)÷24=5×3÷&- *÷24 =5×3×(-2)× =- =-1 ② &-3 *÷“(-4.5)÷&-1 *‘

=&-3 *÷“&-4 *÷&- *‘ =&-3 *÷“&- *×&- *‘

=&-3 *÷ =&- *× =- =-1 ③ 4 ÷ -(-0.8)×&-3 * = × -&- *×&- * =12-3=9 ④ (-8+20)×(-5)-40÷(-8)=12×(-5)-(-5) =-60+5=-55 ⑤ (-0.4)÷{(-14)×1.25÷(-7)} =(-0.4)÷“(-14)×1 ×&- *‘ =(-0.4)÷“(-14)× ×&- *‘ =(-0.4)÷ =&- *× =-⑥ &- *÷ +1 ×0.6÷&-2 * =&- *× + × ×&- * =- +&- *=- - =- =-1

⑦ &-1 *×0.75×&-1 *=&- *× ×&- *

= =11 3 4 3 8 5 3 4 10 9 3 5 1 9 9 10 19 10 4 10 15 10 2 5 3 2 7 15 3 5 10 7 9 4 2 3 1 7 3 7 4 9 2 3 4 25 2 5 2 5 5 2 1 7 5 4 1 7 1 4 15 4 4 5 8 3 9 2 3 4 3 8 1 2 2 7 9 7 8 21 27 8 21 8 3 8 7 12 9 2 3 8 12 7 1 2 3 8 5 7 3 8 1 4 5 4 1 24 1 2 <풀이> ① -& -1 *-1 =-& -1 *-1 =-& - *-1 =-&- *-1 = - =-<다른 풀이> -& -1 *-1 =-& -1 *-1 =-& - *-1 =-&- *-1 = -1 = - =-② 100÷(-25)+(-6)+20=-4-6+20 =-10+20=10 ③ 0.7÷&- + *= ÷&- + * = ÷ = × = =1 ④ -19+(-54)÷9-5×(-4) =-19+(-6)-(-20) =-19-6+20 =-25+20=-5 1 5 6 5 12 7 7 10 7 12 7 10 10 12 3 12 7 10 5 6 1 4 11 12 20 12 9 12 8 12 9 12 2 3 3 4 2 3 6 4 3 4 2 3 2 4 3 4 2 3 1 2 3 4 11 12 20 12 9 12 8 12 9 12 8 12 18 12 9 12 8 12 6 12 9 12 2 3 1 2 3 4 ① - ② 10 ③ 1 ④ -5 ⑤ -⑥ 1 ⑦ 0 ⑧ 1 30 2 5 4 19 1 5 11 12

(23)

<풀이>

① &-1 *3×&-1 *3=&- *3×&- *3 = × × × × × = =3 ② -32+&-1 *2=-9+&- *2=-9+ =-9+2 =-6 ③ &-1 *2-5 =&- *2-5 = -5 =2 -5 =2 -5 =-3 ④ &-3 *2÷&-7 *3=&- *2÷&- *3

=-⑤ (-0.7)÷3 -4=&- *× -4=- -4=-4 ⑥ &- *×&- *-1 ÷2 = - × = -= - =-5 12 9 12 4 12 3 4 1 3 3 7 7 4 1 3 1 3 3 4 2 5 5 6 1 5 1 5 2 7 7 10 1 2 1 30 15×15×2×2×2 4×4×15×15×15 15 2 15 4 1 2 3 4 1 4 2 4 1 4 1 2 1 4 1 2 9 4 1 2 3 2 1 2 1 2 2 9 7 9 25 9 5 3 2 3 3 8 27 8 6 5 6 5 6 5 5 4 5 4 5 4 6 5 5 4 1 5 1 4 <풀이> ① (-3)×2×(-5)+4×(-5)×3=30+(-60) =30-60=-30 ② 4×(-5)-(-18)-(-14)÷7=-20+18-(-2) =-20+18+2 =-20+20=0 ③ -(9-12)×4+(-6)×(-3)=-(-3)×4+18 =-(-12)+18 =12+18=30 ④ 80÷4÷(-5)-(-60)÷(-2)÷(-3) =-4-(-10)=-4+10=6 ⑤ &-3 *÷ -(-15)=&- *× +15 =- +15 =-7 +15=7 ⑥ (-20)÷4×2+10×0.6÷(-3)=-10+(-2) =-10-2=-12 ⑦ (-2)3 ×(-32 )-(-2)×(-3)×(-5) =(-8)×(-9)-(-30)=72+30=102 ⑧ 20÷(-2)+(-40)÷4=-10+(-10) =-10-10=-20 1 2 1 2 15 2 12 5 25 8 5 12 1 8 ⑤ &- *÷5 - =&- *× -=- -

=-⑥ 1 ×&-2 *÷(-2.25)= ×&- *÷&-2 *

= ×&- *×&- * = =1 ⑦ 7.2÷(-3)-(-1.2)×2=-2.4-(-2.4) =-2.4+2.4=0 <다른 풀이> 7.2÷(-3)-(-1.2)×2=7 ÷(-3)-&-1 *×2 = ×&- *-&- *×2 =- -&- * =- + =0 ⑧ &-1 *÷1 + + =&- *× + + =- + + =- + + =- + =1 30 25 30 24 30 5 30 20 30 24 30 1 6 2 3 4 5 1 6 2 3 8 15 3 2 1 6 2 3 7 8 1 2 12 5 12 5 12 5 12 5 6 5 1 3 36 5 1 5 1 5 2 5 7 5 4 9 21 8 6 5 1 4 21 8 6 5 5 8 1 5 4 19 3 19 1 19 3 19 7 38 2 7 3 19 3 7 2 7 ① 3 ② -6 ③ -3 ④ - ⑤ -4 ⑥ - ⑦ ⑧ 27 15 1 5 5 12 1 5 1 30 1 4 2 9 3 8 ① -30 ② 0 ③ 30 ④ 6 ⑤ 7 ⑥ -12 ⑦ 102 ⑧ -20 1 2

(24)

<풀이> ① - -&-2 *+&-3 *+ =- +2 -3 + =- +2 -3 + =-3 +214=-1 12 14 12 10 12 9 12 4 12 5 12 5 6 3 4 1 3 5 12 5 6 3 4 1 3 5 12 <풀이>

① &-1.7+1 *÷&- *=&-1 +1 *÷&- *

=&-1 +1 *÷&- * =&- *×&- * = =1 ② &-1 +3 *×&- - * =&-1 +3 *×&- - * =&-1 +2 *×&- * =1 ×&- *= ×&- * =-23 24 23 44 22 12 23 44 10 12 23 44 15 12 5 12 12 44 11 44 3 12 5 12 3 11 1 4 1 4 5 12 2 3 5 3 10 3 5 10 3 10 2 10 7 10 3 10 1 5 7 10 3 10 1 5 ③ “- -&-3 *× ‘×(-18) =“- -&- *× ‘×(-18) =“- -&- *‘×(-18) =&- + *×(-18) =&- + *×(-18) = ×(-18)=-15 ④ (-5)+(-2)×{(-5)+6.5}-6÷1.5 =-5+(-2)×1.5-4 =-5+(-3)-4 =-5-3-4=-12 ⑤ {(-12)+15-(-7)}÷{8×(-0.3)×0+(-3)} =(-12+15+7)÷(0-3) =10÷(-3) =- =-3 ⑥ - +“ -&- *‘÷“ +&- *‘ =- +& + *÷& - * =- +& + *÷& - * =- + ÷ =- + × =- + =- + =9 14 13 14 4 14 13 14 2 7 12 7 13 24 2 7 7 12 13 24 2 7 2 12 9 12 9 24 4 24 2 7 1 6 3 4 3 8 1 6 2 7 1 6 3 4 3 8 1 6 2 7 1 3 10 3 5 6 8 6 3 6 4 3 1 2 4 3 1 2 2 5 10 3 1 2 2 5 1 3 1 2 ⑦ -1 +&- *×&-1 * =-1 +&- *×&- * =-1 + =-1 +1 =-1 +1 = =

⑧ &-1 *÷&- *+&- *×0.75

=&- *×&- *+&- *×

= +& *=2 -=2 -=27 15 3 15 10 15 1 5 2 3 1 5 8 3 3 4 4 15 12 5 10 9 4 15 5 12 1 9 1 5 2 10 5 10 3 10 1 2 3 10 3 2 3 10 5 3 9 10 3 10 2 3 9 10 3 10 ① 1 ② - ③ -15 ④ -12 ⑤ -3 ⑥ 9 14 1 3 23 24 2 3 ① -1 ② ③ -1 ④ 46 ⑤ -1 ⑥ 103 20 2 3 2 3 2 3

(25)

<풀이> ① 5×(-6)+{2×(-5)+(-3)}×(-3)+(-3)÷5 =-30+(-10-3)×(-3)+&- * =-30+(-13)×(-3)+&- * =-30+39-=-30 +39=8 ② &-1 +4 - *÷(-2)3 =&-1 +4 - *÷(-8) =&-1 +4 *×&- * =&- + *×&- * = ×&- *=-③ 1-“ ÷0.4- ×&- *2‘ =1-& ÷ - × * =1-& × - * =1-& - * =1-& - * =1- =

④ -&-2 *-4 +&-3 *+ -&-2 *

=2 -4 -3 + +2 =2 -4 -3 + +2 =4 -7 =5 -7 =-213 36 29 36 16 36 29 36 52 36 10 36 24 36 20 36 9 36 18 36 5 18 2 3 5 9 1 4 1 2 5 18 2 3 5 9 1 4 1 2 5 6 1 6 2 6 3 6 1 3 1 2 1 3 5 2 1 5 1 4 4 3 2 5 1 5 1 2 22 3 1 5 19 60 1 8 76 30 1 8 130 30 54 30 1 8 10 30 24 30 9 30 10 30 15 30 3 10 1 3 1 2 2 5 3 5 3 5 3 5 3 5 ② 1 ÷&-1 *-&-2 *× = ÷&- *-&- *× = ×&- *-&- * =- + =- + = = ③ 5÷“&8-10÷2 *×&- *‘ =5÷“&8-10÷ *×&- *‘ =5÷“&8-10× *×&- *‘ =5÷“(8-4)×&- *‘ =5÷“4×&- *‘ =5÷(-3) =- =-1 ④ (-8)×{(-4)+(-6)÷3}-(-10)÷(-5) =(-8)×{(-4)+(-2)}-2 =(-8)×(-6)-2 =48-2=46 ⑤ -&- *2× - ÷3=- × - × = = -=- =-=-1 ⑥ 10-“ +&- *‘÷“&- *+1‘ =10-& - *÷ =10-& - *× =10-&- *× =10-&- * =10+ =103 20 3 20 3 20 6 5 1 8 6 5 3 8 2 8 5 6 3 8 1 4 1 6 3 8 1 4 2 3 5 3 10 6 1 6 9 6 1 6 3 2 1 3 1 2 2 3 9 4 1 2 2 3 3 2 2 3 5 3 3 4 3 4 3 4 2 5 3 4 5 2 3 4 1 2 2 3 4 6 9 6 5 6 3 2 5 6 3 2 3 4 10 9 5 8 12 5 4 3 10 9 5 8 2 5 1 3 1 9 ① 8 ② - ③ ④ -2 ⑤ ⑥ 11 4 5 13 36 5 6 19 60 2 5

(26)

<풀이> ① 0.77÷&-2 *-3.5× = ÷&- *- × = ×&- *-=- - =- -=- =-1 ② 1 ×0.56-21÷“8 ×&- *2‘ = × -21÷& × * =1-21÷ =1-21× =1-28=-27 4 3 3 4 9 100 25 3 14 25 25 14 3 10 1 3 11 14 17 25 42 25 35 25 7 25 7 5 7 25 7 5 4 11 77 100 2 5 7 2 11 4 77 100 2 5 3 4 ③ (-4)÷“-4-&10-3÷ *× ‘ =(-4)÷“-4-(10-3×5)× ‘ =(-4)÷“-4-(10-15)× ‘ =(-4)÷“-4-(-5)× ‘ =(-4)÷“-4-&- *‘ =(-4)÷&-4+ * =(-4)÷&- * =(-4)×&- * = =2

④ &- *÷ ×&- *-&- + *

=&- *× ×&- *-&- + *

= = -= -= -=1 ⑤ -0.75÷(-5)×&-5 *-= - ×&- *×&- *-= - - *-= - -= -

=-⑥ &- - *÷“&14-4÷ *×&- *‘ =&- - *÷“(14-4×2)×&- *‘ =&- *÷“(14-8)×&- *‘ =&- *÷“6×&- *‘ =&- *÷&- * =&- *×&- * =1 2 4 3 3 8 3 4 3 8 1 8 3 8 1 8 3 8 1 8 2 8 1 8 1 8 1 2 1 4 1 8 19 30 39 30 20 30 15 30 24 30 20 30 1 2 4 5 2 3 1 2 16 3 1 5 3 4 2 3 1 2 1 3 2 3 1 3 4 3 8 6 1 6 9 6 1 6 3 2 3 6 2 6 15 16 8 3 3 5 1 2 1 3 15 16 3 8 3 5 2 3 8 3 2 3 3 2 5 2 5 2 1 2 1 2 1 2 1 2 1 5 ⑤ -0.7+1.6÷ -&- *×&-1 * =- + × -&- *×&- * =- +2-=- +2-=- +2= = ⑥ “- +&- *× ‘×{(-10)+(-4)} =“- +&- *‘×(-10-4) =&- - *×(-14) =&- - *×(-14) =&-22*×(-14)=11 28 15 28 7 28 15 28 1 4 15 28 1 4 6 7 5 8 1 4 4 5 8 10 12 10 5 10 7 10 1 2 7 10 7 6 3 7 5 4 8 5 7 10 1 6 3 7 4 5 ① -1 ② -27 ③ 2 ④ 1 ⑤ -⑥1 2 19 30 1 3 2 3 17 25

(27)

⑥ &25× *-6×&- *÷“6+&-4-16× *‘×20 =10-&- *÷{6+(-4-4)}×20 =10-&- *÷{6+(-8)}×20 =10-&- *÷(6-8)×20 =10-&- *÷(-2)×20 =10-&- *×&- *×20 =10-45 =-35 1 2 9 2 9 2 9 2 9 2 9 2 1 4 3 4 2 5 ① 3, ② ③ ④ ⑤ ⑥ , 7 ⑦ 10 ⑧ 10 ⑨ 101 ⑩ 30 2 1 2 1 2 4 5 4 45 1 24 1 18 2 21 1 4 <풀이> ※ 와 같은 분수는 를 분자, �를 분모로 보아 (분자)÷(분모), 즉 ÷�로 계산한다. ① = ÷3= × = ② = ÷9= × = ③ = ÷8= × = ④ = ÷15= × = ⑤ = ÷6= × = ※ 와 같은 분수는 ▲를 분자, 를 분모로 보아 (분자)÷(분모), 즉 ▲÷�로 계산한다. � � ▲ � � 4 45 1 6 8 15 8 15 8 15 6 1 24 1 15 5 8 5 8 5 8 15 1 18 1 8 4 9 4 9 4 9 8 2 21 1 9 6 7 6 7 6 7 9 1 4 1 3 3 4 3 4 3 4 3 ▲ � ▲ � ▲ � � <풀이> ① &-1 *÷ -2 ×0×0.12+2 =&- *× -0+2 =- + =- + =

② “- -&-3 *+&- *‘÷& -1 *

=&- +3 - *÷& - *

=&- +3 - *÷& - *

=&- + *÷&- *= ×&- *

=- =-2 ③ (-8)÷“-2+(11-9-4)× ÷& + *‘ =(-8)÷“-2+(11-13)× ÷& + *‘ =(-8)÷“-2+(-2)× ÷ ‘ =(-8)÷“-2+(-2)× × ‘ =(-8)÷“-2+&- *‘=(-8)÷&-2- * =(-8)÷&- *=(-8)×&- * = =2 ④ &- *2×4÷ ×&- *3 ÷(-18)-= ×4× ×&- *×&- *-= - *-= -= =1 ⑤ (-10)2×10×&- *3-{25÷(-5)×0.25} =100×10×&- *-“25×&- *× ‘ =-8-&- *=-8+ =- =-63 4 27 4 5 4 5 4 1 4 1 5 1 125 1 5 1 10 11 10 5 10 16 10 1 2 8 5 1 2 1 18 27 8 10 3 16 25 1 2 3 2 3 10 4 5 1 3 7 3 7 24 24 7 10 7 10 7 6 7 5 6 7 6 5 6 4 6 3 6 5 6 2 3 1 2 5 6 2 9 20 9 16 15 25 12 15 16 42 12 17 12 22 16 7 16 9 12 6 12 8 12 11 8 7 16 3 4 1 2 2 3 3 8 7 16 3 4 1 2 2 3 7 12 34 12 27 12 17 6 9 4 5 6 15 8 6 5 5 6 1 3 8 15 1 5 ① ② -2 ③ 2 ④ 1 ⑤ -6 ⑥ -35 3 4 1 10 1 3 2 9 7 12

(28)

<풀이> ① = ÷2= × = ② =3÷ =3× =4 ③ =2 ÷10= × = ④ =9÷1 =9× = =7 ⑤ = ÷6= × = ⑥ =2÷ =2× = =2 ⑦ =2 ÷4= × =7 10 1 4 14 5 4 5 4 4 5 14 5 7 5 5 7 2 5 7 1 16 1 6 3 8 3 8 3 8 6 1 2 15 2 5 6 1 5 9 5 18 1 10 25 9 7 9 10 4 3 3 4 3 3 4 3 7 1 2 6 7 6 7 6 7 2 ⑧ =10÷1 =10× =8 ⑨ = ÷8= × = ⑩ =4÷ =4× = =41 2 9 2 9 8 8 9 4 8 9 1 20 1 8 2 5 2 5 2 5 8 4 5 1 4 10 27 9 11 5 <풀이> ※ 와 같은 분수는 를 분자, 를 분모 로 보아 (분자)÷(분모), 즉 ÷ 로 계산한다. ① = ÷ = × = ② = ÷ = × = =1 ③ = ÷ = × =2 ④ = ÷ = × = =1 ⑤ = ÷ = × = =1 ⑥ =2 ÷ = × = =31 5 16 5 8 7 14 5 7 8 4 5 7 8 1 7 8 7 10 7 4 5 7 10 4 5 4 5 7 10 1 3 4 3 7 2 8 21 2 7 8 21 8 21 2 7 8 3 3 4 3 8 3 4 3 4 3 8 1 3 4 3 11 3 4 11 3 11 4 11 4 11 3 11 2 3 5 2 4 15 2 5 4 15 4 15 2 5 � ★ ▲ � � ★ ▲ � ▲ � � ★ ① 4, 2, ② 1 ③ 2 ④ 1 ⑤ 1 ⑥ 3 ⑦ ⑧ ⑨ 21 7 4 5 8 13 1 5 1 7 1 3 1 3 2 3 11 4 24 5 ⑥ =6÷ =6× = =7 ⑦ =9÷ =9× = =10 ⑧ =6÷ =6× =10 ⑨ =7÷ =7× = =10 ⑩ =9÷ =9×10=30 3 3 10 9 3 10 1 2 21 2 3 2 2 3 7 2 3 5 3 3 5 6 3 5 1 2 21 2 7 6 6 7 9 6 7 1 2 15 2 5 4 4 5 6 4 5 ① ② 4 ③ ④ 7 ⑤ ⑥ 2 ⑦ ⑧ 8 ⑨ ⑩ 41 2 1 20 7 10 4 5 1 16 1 2 5 18 3 7 24 5

(29)

① ② - ③ 3 ④ -1 ⑤ ⑥3 ⑦ 8 ⑧ -1 5 1 3 1 6 1 3 2 3 1 16 11 6 22 3 <풀이> ① =& - *÷ =& - *÷ = × = ② =&- + *÷ =&- + *÷ =&- *× =-③ =& + *÷ =& + *÷ = × = =3 ④ =&- - *÷ =&- - *÷ =&- *× =- =-1 ⑤ = ÷& + *= ÷& + * = ÷ = × =1 3 8 9 3 8 9 8 3 8 5 8 4 8 3 8 5 8 1 2 3 8 1 6 7 6 5 3 7 10 3 5 1 10 6 10 3 5 1 10 3 5 1 3 10 3 8 3 5 4 3 8 2 4 3 4 3 8 1 2 3 4 2 3 7 2 4 21 2 7 3 21 7 21 2 7 1 7 1 3 1 16 5 4 1 20 4 5 4 20 5 20 4 5 1 5 1 4 -4 5 1 5 1 4 14 5 + 3 8 1 2 3 4 +5 8 1 2 3 8 -3 5 1 10 3 5 - + 2 7 1 7 1 3 <풀이> ① =2 ÷3= × = ② = ÷ = × = =2 ③ = ÷21= × = ④ =1 ÷ = × = =2 ⑤ =6÷2 =6× = =2 ⑥ =8÷ =8× =14 ⑦ = ÷1 = × = ⑧ =1 ÷4= × =3 7 1 4 12 7 5 7 4 4 7 6 7 2 3 1 6 2 3 2 3 7 4 4 7 8 4 7 1 4 9 4 3 8 2 3 6 1 10 21 10 7 6 9 5 6 7 4 5 6 7 1 27 1 21 7 9 7 9 7 9 21 3 16 35 16 7 2 5 8 2 7 5 8 5 8 2 7 3 4 1 3 9 4 1 4 2 3 1 4 ⑦ = ÷1 = × = ⑧ =1 ÷1 = × = ⑨ =2 ÷1 = × = =21 7 15 7 5 6 18 7 1 5 4 7 4 5 2 3 6 5 1 2 1 5 8 13 10 13 4 5 3 10 4 5 4 5 ⑨ =4÷1 =4× = =3 ⑩ =3 ÷4 = × =3 4 3 13 13 4 1 3 1 4 1 3 10 3 5 6 1 5 4 ① ② 2 ③ ④ 2 ⑤ 2 ⑥ 14 ⑦ ⑧ ⑨ 3 ⑩3 4 1 3 3 7 4 7 1 4 1 10 1 27 3 16 3 4 1 11 2 1 5 2 11 5 4 7 13 10 11 5 3 41 3 1 4 15 7

(30)

<풀이> ① = ÷&- +1*= ÷ = × =1 ② =& + *÷ =& + *÷ = × = =2 ③ =& - *÷ =& - *÷ =&- *× =-1 4 9 2 1 18 2 9 16 18 15 18 2 9 8 9 5 6 3 4 11 4 7 2 11 14 2 7 2 14 9 14 2 7 1 7 9 14 5 4 4 5 4 5 4 5 1 5 4 5 -2 9 8 9 5 6 -1 8 3 4 3 4 - +11 5 4 5 + 2 7 1 7 9 14 - -1 6 1 5 1 6 - + 3 10 1 8 1 5 +3 16 1 12 1 24 ① 1 ② 2 ③ - ④ - ⑤ -⑥ ⑦ 1 ⑧ -13 5 1 5 2 13 1 4 5 11 1 4 3 4 <풀이> ① =&1- *÷&1- *= ÷ = × =28 3 3 4 3 8 3 4 5 8 1 4 ④ = ÷&- - *= ÷&- - * = ÷&- *= ×&- * =-⑤ =&- + *÷ =&- + *÷ =&- *× =-⑥ = ÷& + *= ÷& + * = ÷ = × = ⑦ = ÷& - *= ÷& - * = ÷ = × = =1 ⑧ =&- - *÷ =&- - *÷ =&- *× =- =-13 5 8 5 7 3 24 35 3 7 14 35 10 35 3 7 2 5 2 7 1 5 6 5 8 5 3 4 5 8 3 4 1 8 6 8 3 4 1 8 3 4 3 4 2 13 48 13 1 24 13 48 1 24 9 48 4 48 1 24 3 16 1 12 1 24 1 4 10 3 3 40 3 10 5 40 8 40 3 10 1 8 1 5 5 11 30 11 1 6 11 30 1 6 5 30 6 30 1 6 1 6 1 5 1 6 1-1-5 8 1 4 -3 7 2 5 2 7 ① 2 ② ③ -6 ④ 1 ⑤ -4 ⑥ -1 ⑦ 4 15 7 8 5 6 2 5 5 6 ⑥ = ÷& - *= ÷& - * = ÷ = × = ⑦ = ÷&- + *= ÷&- + * = ÷ = ×12=8 ⑧ = ÷&- - *= ÷&- - * = ÷&- *= ×&- *=-16 5 5 6 5 6 5 6 2 6 3 6 5 6 1 3 1 2 5 6 2 3 1 12 2 3 3 12 2 12 2 3 1 4 1 6 2 3 3 5 12 5 1 4 5 12 1 4 3 12 8 12 1 4 1 4 2 3 1 4 -1 4 2 3 1 4 - +1 4 1 6 2 3 - -1 3 1 2 5 6

(31)

② =&- + *÷& - * =&- + *÷& - * =&- *÷&- * =&- *×&- * = ③ =& - *÷&- + * =& - *÷&- + * = ÷&- *= ×(-24) =- =-6 ④ =& + *÷&- + * =& + *÷&- + * = ÷ = × = =1 ⑤ =&- + *÷& - * =&- + *÷& - * = ÷&- *= ×&- * =-4 60 11 22 30 11 60 22 30 35 60 24 60 25 30 3 30 7 12 2 5 5 6 1 10 5 6 11 6 10 3 11 20 3 10 11 20 4 10 1 10 3 20 8 20 2 5 1 10 3 20 2 5 2 5 32 5 4 15 1 24 4 15 9 24 10 24 5 15 9 15 3 8 5 12 1 3 3 5 5 6 30 5 5 36 5 30 5 36 27 30 22 30 27 36 32 36 9 10 11 15 3 4 8 9 ⑥ =& - *÷& - * =& - *÷& - * = ÷&- *= ×&- * =- =-1 ⑦ =&- - *÷&- - * =&- - *÷&- - * =&- *÷&- * =&- *×&- * =4 15 28 24 8 35 24 28 8 35 3 28 21 28 5 35 3 35 3 28 3 4 1 7 3 35 7 8 15 8 90 8 4 24 8 90 4 24 35 90 27 90 5 24 9 24 7 18 3 10 5 24 3 8 - + -7 12 2 5 5 6 1 10 --7 18 3 10 5 24 3 8 - -- --3 28 3 4 1 7 3 35 + - +2 5 1 10 3 20 2 5 <풀이> ① =& + *÷&- - * =& + *÷&- - * = ÷&- *= ×&- * =- =-11 5 6 5 16 5 9 24 5 16 9 24 3 16 2 16 4 24 5 24 3 16 1 8 1 6 5 24 ① -1 ② - ③ 3 ④ ⑤ -4 ⑥ ⑦ 4 ⑧ -7 90 2 3 7 12 1 5 3 5 1 6 1 5 + - -3 16 1 8 1 6 5 24 - + -9 10 11 15 3 4 8 9 -- +3 8 5 12 1 3 3 5

(32)

⑦ =1 ÷&- + * = ÷&- + * = ÷ = × = =4 ⑧ =& - *÷&2 -1 * =& - *÷&2 -1 * =&- *÷1 =&- *× =-7 90 14 15 1 12 1 14 1 12 7 14 8 14 10 12 9 12 1 2 4 7 5 6 3 4 2 3 14 3 10 3 7 5 3 10 7 5 7 10 4 10 7 5 7 10 2 5 2 5 1 - +7 10 2 5 2 5 -2 -11 2 4 7 5 6 3 4 ① -5 ② ③ -1 ④ 2 ⑤ -17 ⑥ 6 ⑦ -1 ⑧ 11 3 4 11 1 2 3 5 1 4 1 12 <풀이> ① =&-4 + *÷ =&-4 + *÷ =&-3 + *÷ =&-3 *÷ =&- *× =-5 10 7 35 10 7 10 5 10 7 10 9 10 14 10 7 10 9 10 4 10 7 10 9 10 2 5 -4 + 7 10 9 10 2 5 ② =& - *÷2 =& - *÷ =&- *× =-③ =& -1 *÷&- + * =& -1 *÷&- + *

=&-1 *÷&- *=&- *×&- *

= =3 ④ = ÷&3 + *= ÷&3 + * = ÷3 = × = ⑤ =&-1 -1 *÷ =&-1 -1 *× =&-2 *× =&- *× =-4 ⑥ =&- + *÷& + * =&- + *÷& + * = ÷ = × =7 12 14 7 7 24 7 14 7 24 3 14 4 14 16 24 9 24 3 14 2 7 2 3 3 8 8 5 15 6 8 5 3 6 8 5 1 6 2 6 5 8 1 6 1 3 1 5 4 15 3 4 3 4 3 4 2 4 1 4 3 4 1 2 1 4 3 4 3 5 18 5 8 3 27 20 3 8 7 20 1 8 4 8 15 20 8 20 1 8 1 2 3 4 2 5 1 6 5 13 13 30 13 5 25 30 12 30 3 5 5 6 2 5 -23 5 5 6 2 5 -1 - +1 8 1 2 3 4 2 5 3 +1 2 1 4 3 4 -1 -1 5 8 1 6 1 3 - + +3 14 2 7 2 3 3 8

(33)

⑦ =&1+ × *÷& × -1* =&1+ *÷& -1* = ÷&- *= ×&- * =- =-1 ⑧ =&2- *÷&4-1 -1 * = ÷&4-1 -1 * = ÷1 = × = =11 3 4 3 4 5 5 3 1 4 5 3 2 4 1 4 5 3 1 2 1 4 1 3 4 11 15 11 35 33 9 7 33 35 9 7 2 35 2 7 1 7 2 5 4 7 1 2 + -3 +35 9 5 12 2 15 7 10 1+ × × -11 7 2 5 4 7 1 2 2-4-1 -11 2 1 4 1 3 ① 20 ② - ③ ④ -9 ⑤ -⑥ -4 ⑦ ⑧ 41 8 2 9 7 34 3 4 7 20 1 12 <풀이> ① =16÷“&- *×&- *‘ =16÷ =16× =20 ② -=2 ÷3 - = × -= - -= - =-1 12 9 12 8 12 3 4 2 3 3 4 4 15 5 2 3 4 3 4 1 2 3 4 5 4 4 5 8 9 9 10 16 &- *×&- *8 9 9 10 2 33 4 1 2 ② = ÷&8× ÷ *= ÷&8× × * = ÷6= × = ③

1-=1-&6÷2 *=1-&6÷ *=1-&6× * =1- =- =-1

④ +

=& ÷ *+& ÷ *=& × *+& × *

= + = =2 ⑤ =&1-2 -1 *÷&5-4 - * =&1-2 -1 *÷&5-4 - * =&-2 *÷ =&- *×6 =- =-17 ⑥ =& + *÷&-3 +3 * =& + *÷&-3 +3 * = ÷ = ×36=6 5 25 30 5 36 25 30 20 36 15 36 4 30 21 30 5 9 5 12 2 15 7 10 1 2 35 2 35 12 1 6 11 12 2 6 3 6 8 12 3 12 1 3 1 2 2 3 1 4 3 5 13 5 7 5 6 5 8 5 7 8 3 2 4 5 5 8 7 8 2 3 4 5 7 8 5 8 4 5 2 3 1 4 5 4 9 4 3 8 8 3 2 3 6 1 12 1 6 1 2 1 2 6 5 5 8 1 2 5 6 5 8 1 2 8× ÷5 6 5 8 1 2 1-2 -1 5-4 -1 3 1 2 2 3 1 4 22 3

(34)

⑦ -=&2 ÷2*-& ÷ * =& × *-& × * = - = - = ⑧ =&1÷ + *÷& + * =&1×2+ *÷& + * = ÷ = × = =41 8 33 8 15 8 11 5 8 15 11 5 3 15 5 15 1 5 1 5 1 3 1 5 1 2 2 9 10 9 12 9 10 9 4 3 4 3 5 6 1 2 8 3 3 4 5 6 2 3 5 6 3 4 1÷ + +1 5 1 3 1 5 1 2 2 2 2 3 <풀이> ( 1 )-(-8)+(-16)-9-(-12)=8-16-9+12 =20-25=-5 ( 2 )10+(-13)-2-(-8)+7=10-13-2+8+7 =25-15=10 <다른 풀이> 10+(-13)-2-(-8)+7=10-13-2+8+7 =10-15+15 =10 ( 3 )- -&- *+&- *=- + -=- + -=- + =- =-3 4 9 12 8 12 17 12 6 12 8 12 11 12 1 2 2 3 11 12 1 2 2 3 11 12

�성취도테스트

( 1 )-5 ( 2 )10 ( 3 )- ( 4 )1 ( 5 )3 ( 6 )-113( 7 )-25 40 1 2 7 10 3 4 ③ =&2 -3 *÷&-2 -2 * =&2 -3 *÷&-2 -2 * =&-1 *÷&-4 * =&- *×&- *= ④ =&1+ + *÷&3-5 +2 * =&1+ + *÷&3-5 +2 * =1 ÷&- *= ×(-6) =- =-9 ⑤ =&1- - *÷&- - * =&1- - *÷&- - * = ÷&- *= ×&- *=-⑥ =1 ÷&2 -3 * = ÷&2 -3 * = ÷&2 -2 * = ÷&- * = ×&-14*=-4 5 10 7 5 14 10 7 18 14 13 14 10 7 4 14 13 14 10 7 2 7 13 14 3 7 7 34 28 17 1 8 17 28 1 8 9 28 8 28 2 8 5 8 9 28 2 7 1 4 5 8 3 4 39 4 13 8 1 6 5 8 4 6 5 6 2 8 3 8 2 3 5 6 1 4 3 8 7 20 6 27 63 40 3 6 23 40 2 6 1 6 35 40 12 40 1 3 1 6 7 8 3 10 1 -- --9 28 2 7 1 4 5 8 2 -3 -2 -21 3 1 6 7 8 3 10 1+ + 3-5 +22 3 5 6 1 4 3 8 1 2 -32 7 13 14 3 7

(35)

<풀이> (15)(-3)3×23÷{(-4)2×(-6)2 } =- =-(16)(-2)5-42-(-3)3=-32-16-(-27) =-32-16+27 =-48+27=-21 (17)&-1 * 2 -&-1 * 2 =&- * 2 -&- * 2 = - = - =-(18)(-6)×5-(-50)=-30+50=20 (19)8+(-90)÷9=8+(-10)=8-10=-2 (20)54÷(-6)+5×(-7)=(-9)+(-35) =-9-35=-44 (21)(-9)×(-6)-(-20)÷4=54-(-5)=54+5=59 17 36 81 36 64 36 9 4 16 9 3 2 4 3 1 2 1 3 3 8 3×3×3×2×2×2 4×4×6×6 (15)- (16)-21 (17)- (18)20 (19)-2 (20)-44 (21)59 17 36 3 8 (11)102 ÷&-2 *3=102 ÷&- *3 =-=- =-6 (12)(-0.1)5×104 =&- *5×104 =-& × × × × ×10×10×10×10* =-<다른 풀이> (-0.1)5×104 =-(0.1×0.1×0.1×0.1×0.1×10×10×10×10) =-(0.00001×10000)=-0.1 (13)&-3 * 3 ÷&-1 * 2 =&- * 3 ÷&- * 2 =-=-30 (14)(-2)3 ÷123 ×(-4)3 =+ =8 27 2×2×2×4×4×4 12×12×12 10×10×10×9×9 3×3×3×10×10 10 9 10 3 1 9 1 3 1 10 1 10 1 10 1 10 1 10 1 10 1 10 2 5 32 5 10×10×2×2×2 5×5×5 5 2 1 2 ( 4 )-&-2 *+&-1 *+ =2 -1 + =2 -1 + =2 -1 =1 =1 ( 5 )1 -&-2 *+&-2 *+2 =1 +2 -2 +2 =-1+4 =3 =3

( 6 )1 +&-2 *-&-2 *-3 -&- *

=1 -2 +2 -3 + =1 -2 +2 -3 + =3 -5 =3 -4 =-1 ( 7 )(14-18-6)-(-5+20)=(14-24)-15 =-10-15 =-25 13 40 47 40 34 40 7 40 34 40 4 40 2 40 10 40 5 40 20 40 1 10 1 20 1 4 1 8 1 2 1 10 1 20 1 4 1 8 1 2 1 2 2 4 2 4 1 4 1 3 1 4 1 3 1 4 1 3 1 4 1 3 7 10 21 30 5 30 26 30 6 30 5 30 20 30 1 5 1 6 2 3 1 5 1 6 2 3 <풀이> ( 8 ) & + *= & + *= -=- - =-( 9 )-&-1 - *+&2 -5* =-&-1 - *+&-2 * =-&-1 *-2 =1 -2 =1 -1 =- =-(10)(-5)3 ×(-1)7 =+(5×5×5×1×1×1×1×1×1×1)=125 7 8 21 24 34 24 13 24 10 24 13 24 5 12 13 24 5 12 9 24 4 24 7 12 3 8 1 6 9 10 5 10 4 10 1 2 2 5 5 6 2 6 2 5 5 6 1 3 2 5 ( 8 )- ( 9 )- (10)125 (11)-6 (12)- (-0.1) (13)-30 (14) 8 27 1 10 2 5 7 8 9 10

(36)

(28)&-3 +1 *÷&-1 - *

=&-3 +1 *÷&-1 - *

=&-2 +1 *÷&-1 *

=&-1 *÷&- *=&- *×&- *

= =11 13 14 13 15 26 28 15 26 15 13 15 11 15 11 15 24 15 6 15 5 15 11 15 9 15 2 5 1 3 11 15 3 5 <풀이> (29)(-5)×8÷{(-1.75)×10} =(-5)×8÷“&- *×10‘ =(-40)÷&- *=(-40)×&- * = =2 (30)75÷(-20+5)-(-3)÷5 = 75÷(-15)-&- * =-5+ =-4

(31)&- *×(-6)+&- *÷&-1 *×&-2 *

= +&- *÷&- *×&- *

= +&- *×&- *×&- *

= +&- *= - = (32)& - + *×(-15)=& - + *×(-15) =& - *×(-15) = ×(-15) =- =-83 4 35 4 7 12 10 12 17 12 9 12 10 12 8 12 3 4 5 6 2 3 3 4 6 4 9 4 3 2 9 4 12 5 3 4 5 6 9 4 12 5 4 3 5 6 9 4 2 5 1 3 5 6 3 8 2 5 3 5 3 5 2 7 16 7 2 35 35 2 7 4 (29)2 (30)-4 (31) (32)-8 (33) (34)-17 30 5 6 3 4 3 4 2 5 2 7 (22)- (23)- (24) (25)-2 (26)1 (27)- (28)11 13 1 8 3 7 7 10 1 2 1 3 13 28 <풀이>

(22) -&- *÷&-1 *= -&- *÷&- *

= -&- *×&- *

= - =

-

=-(23)&-1 *× +&-3 *÷(-12)

=&- *× +&- *×&- *

=- + =- +

=-

=-(24)(-0.9)×1 +2=&- *× +2=- +2=

(25)1 ÷&-1 *-&-1 *÷(-1.25)

= ÷&- *-&- *÷&- *

= ×&- *-&- *×&- *

=- - =-

-=- =-2

(26)&-1 -2 *÷&-2 *=&-1 -2 *÷&-2 *

=&-3 *÷&- * =&- *×&- *

= =1

(27)&-3 +5*×&- + *=1 ×&- + *

= ×&- * =-1 8 3 28 7 6 4 28 7 28 1 6 1 7 1 4 5 6 3 7 10 7 8 21 15 4 21 8 3 4 5 8 2 4 1 4 5 8 1 2 1 4 7 10 27 10 12 10 15 10 6 5 3 2 4 5 3 2 9 10 5 3 5 4 3 2 10 9 5 3 1 2 1 9 2 3 1 2 3 2 5 3 9 10 2 3 1 3 5 15 4 15 9 15 4 15 3 5 1 12 16 5 9 25 5 3 1 5 9 25 2 3 13 28 21 28 8 28 3 4 2 7 5 6 9 10 2 7 6 5 9 10 2 7 1 5 9 10 2 7

(37)

(38)“3 ÷&-2 *-&- *‘×(-12) =“ ÷&- *+ ‘×(-12) =“ ×&- *+ ‘×(-12) =&- + *×(-12) =&- + *×(-12) =&- *×(-12) =10 (39)(-6)÷(-1.2)-(-4.5+9)×10-(-20) =5-4.5×10+20 =5-45+20 =25-45 =-20 (40)&- *2÷ ×&- *+ = × ×&- *+ =- + =- =-1 7 3 21 7 21 10 21 1 3 7 12 8 5 25 49 1 3 7 12 5 8 5 7 5 6 3 6 8 6 1 2 4 3 1 2 2 5 10 3 1 2 5 2 10 3 1 2 1 2 1 3 <풀이> (41)- -“- -&- *‘÷“- +&- *‘ =- -&- + *÷&- - * =- -&- + *÷&- - * =- -&- *÷&- * =- -&- *×&- * =- - =- -=- =-11 12 13 12 3 12 10 12 1 4 5 6 15 19 19 60 5 6 19 15 19 60 5 6 9 15 10 15 9 60 28 60 5 6 3 5 2 3 3 20 7 15 5 6 3 5 2 3 3 20 7 15 5 6 (41)-1 (42) (43)- (44)2 (45)-5 6 17 18 1 72 1 12 (33)&-1 *÷“(-2.8)÷2 ‘ =&- *÷“&- *÷ ‘ =&- *÷“&- *× ‘ =&- *÷&- * =&- *×&- *= (34) ÷&-1 *+ +&- * = ÷&- *+ -= ×&- *+ -=- + - -=- + -=- + =-17 30 15 30 32 30 20 30 15 30 12 30 2 3 1 2 2 5 2 3 1 2 8 15 3 4 2 3 1 2 15 8 3 4 2 3 1 2 7 8 3 4 5 6 3 4 10 9 4 3 10 9 10 21 14 5 10 9 21 10 14 5 10 9 1 10 1 9 <풀이> (35)(-2)×(-7)+(-18)÷3-(-4)×(-5) =14+(-6)-20 =14-6-20 =14-26=-12 (36)(-100)×1.5÷(-15)-50÷(-10)×(-0.3) =(-150)÷(-15)-(-5)×(-0.3) =10-1.5 =8.5 <다른 풀이> (-100)×1.5÷(-15)-50÷(-10)×(-0.3)

=(-100)× ×&- *-50×&- *×&- *

=10-= =8 (37)(-4)3 ÷(-2)4 +(-4)×(-9)÷(-6) =(-64)÷16+(-6) =-4-6=-10 1 2 17 2 3 2 3 10 1 10 1 15 3 2 (35)-12 (36)8.5&8 *(37)-10 (38)10 (39)-20 (40)-1 7 1 2

(38)

(47)

=&-2 + *÷2 =&- + *÷

=&- + *× =&- *×

=-(48)

=&- *÷&- - *=&- *÷&- - *

=&- *÷&- *=&- *×&- * = (49) =&-1 +3 *÷& + * =&-1 +3 *÷& + * =&-1 +2 *÷ =1 × = × = =1 (50) + =“&- *×15‘÷ +2 ÷6 =(-9)× + × =- + =- + =- =-=-101 7 71 7 142 14 5 14 147 14 5 14 21 2 1 6 15 7 7 6 1 7 6 7 3 5 6 1 7 8 7 30 49 28 15 30 49 13 15 49 30 21 15 8 15 28 30 21 30 6 15 8 15 14 15 7 10 2 5 8 15 2 5 24 35 7 12 35 24 7 12 15 24 20 24 7 12 5 8 5 6 7 12 2 3 3 8 16 9 3 8 5 9 21 9 8 3 5 9 7 3 2 3 5 9 1 3 -1 +3 +14 15 7 10 2 5 8 15 &- *×15 6 7 3 5 2 1 7 (42)1-“&- * 2 ×&- *-&- *÷0.4‘ =1-“ ×&- *-&- *÷ ‘ =1-“&- *-&- *× ‘ =1-“- -&- *‘=1-&- + * =1- = (43)-&- *+0.5×&-2 *÷ + = + ×&- *× + = +(-2)+ = -2+ = -2=-(44)(-10)÷“-30+(-6-3+5)× ÷&- + *‘ =(-10)÷“-30+(-4)× ÷&- + *‘ =(-10)÷“-30+(-4)× ÷&- *‘ =(-10)÷“-30+(-4)× ×(-10)‘ =(-10)÷(-30+25) =(-10)÷(-5)=2 (45){12÷(-3)×0.125}- ×42×&- *6 =“12×&- *× ‘- ×16× = = -=-5 6 2 6 3 6 1 3 1 2 1 64 4 3 1 8 1 3 1 2 22 3 5 8 1 10 5 8 4 10 5 10 5 8 2 5 1 2 5 8 17 18 19 18 4 18 15 18 2 9 5 6 2 9 10 7 14 5 1 2 5 6 2 9 7 10 4 5 5 6 1 72 71 72 80 72 9 72 10 9 1 8 5 2 4 9 1 8 2 5 4 9 2 9 9 16 22 9 2 32 3 4 2 14 15 1 10 -2 + 22 3 5 9 1 3 -- --5 8 5 6 7 12 <풀이> (46) =2 ÷ = × = =21 4 9 4 15 14 21 10 14 15 1 10 (46)2 (47)- (48) (49)1 (50)-101 7 1 7 2 5 2 3 1 4

(39)

① 8 ② -5 ③ 3 ④ 0 ⑤ -19 ⑥ -11 ⑦ 1 ⑧ -10 ⑨ -2 ⑩ 12 ⑪ 10 ⑫ -20 <풀이> ※ 덧셈과 뺄셈이 혼합된 식의 계산은 괄호를 푼 후, 앞에서부터 차례로 계산한다. ① 9-10-(-9)=9-10+9=-1+9=8 ② (-25)+50+(-30)=-25+50-30=25-30=-5 ③ (-10)-(-5)-(-8)=-10+5+8=-5+8=3 ④ 10+(-20)+4+6=10-20+4+6 =-10+4+6 =-6+6=0 ⑤ -(-4)-6+(-8)-9=4-6-8-9 =-2-8-9 =-10-9=-19 ⑥ 4-(-9)+(-8)+(-16)=4+9-8-16 =13-8-16 =5-16=-11 ⑦ (-13)-(-9)+5=-13+9+5=-13+14=1 <다른 풀이> (-13)-(-9)+5=-13+9+5 =-4+5=1 ⑧ 18+(-41)-(-13)=18-41+13=31-41=-10 ⑨ -(-28)+(-16)+(-14)=28-16-14 =28-30=-2 ⑩ -7+9-5-(-15)=-7+9-5+15=-12+24=12 ⑪ -24-(-25)+25+(-16)=-24+25+25-16 =-40+50=10 ⑫ (-38)+(-52)-(-80)+(-10) =-38-52+80-10 =-100+80 =-20 ① 7 ② 2 ③ -5 ④ 3.6 ⑤ -10 ⑥ -11 ⑦ -10 ⑧ 16 ⑨ 0 ⑩ 15 ⑪ -20 ⑫ -5 <풀이> ※ 덧셈과 뺄셈이 혼합된 식의 계산은 괄호를 푼 후, 앞에서부터 차례대로 계산하거나 양수 는 양수끼리 음수는 음수끼리 계산하거나 또는 순서를 바꾸어 계산할 수도 있다. ① 4 ② -17 ③ 13 ④ 0 ⑤ -6 ⑥ 3 ⑦ 9 ⑧ -13 ⑨ 7 ⑩ -1.5 ⑪ 0 ⑫ -1.2 <풀이> ※ 덧셈과 뺄셈이 혼합된 식의 계산은 괄호를 푼 후, 순서를 바꾸어 계산할 수도 있다. ① 4-(-11)-11=4+11-11=4 ② (-17)-20-(-20)=-17-20+20=-17 ③ 13+(-12)+5-(-7) =13-12+5+7=13-12+12=13 ④ -17-(-8)-(-6)+3=-17+8+6+3=-9+9=0 ⑤ -(-15)-5+(-10)+(-6) =15-5-10-6=15-15-6=-6 ⑥ -(-18)-(-3)+(-9)+(-9) =18+3-9-9=18+3-18=3 ⑦ 3-(-13)+9+(-5)-11 =3+13+9-5-11=16+9-16=9 ⑧ -10-(-3)+(-9)-(-16)-13 =-10+3-9+16-13=-19+19-13=-13 ⑨ -(-7)-12+(-9)+6-(-15) =7-12-9+6+15=7-21+21=7 ⑩ -(-8)+6-1.5+(-14) =8+6-1.5-14=14-1.5-14=-1.5 ⑪ 4.2+(-17.2)-(-9)+4 =4.2-17.2+9+4=-13+13=0 ⑫ -4-(-1.44)+(-1.2)-(-3.1)-0.54 =-4+1.44-1.2+3.1-0.54 =-4.54+4.54-1.2=-1.2 0 0 +12 -9 -15 0 -18 0 16 -21 +21 -13 +13 0 -16 0 14 0 0 +19 -19 +4.54 -4.54 +9 0 0

(40)

① 15-(-7)+(-9)-6=15+7-9-6=15+7-15=7 <다른 풀이 1> 15-(-7)+(-9)-6 =15+7-9-6=22-9-6 =13-6=7 <다른 풀이 2> 15-(-7)+(-9)-6 =15+7-9-6=22-15=7 ② 8-13-(-7)=8-13+7=15-13=2 ③ -4-7-(-9)+5+(-8)=-4-7+9+5-8 =-19+14=-5 ④ -(-9)-(-3.6)-(-9)+(-18) =9+3.6+9-18=18+3.6-18=3.6 ⑤ -(-13)-(-7)+(-30)=13+7-30=20-30=-10 ⑥ -11+(-6)-8+9+5=-11-6-8+9+5 =-11-14+14=-11 ⑦ 20-15+10+(-25)=20-15+10-25 =30-40=-10 ⑧ -13-(-16)+7+(-15)-(-21) =-13+16+7-15+21=-28+16+28=16 ⑨ 6+(-15)-(-9)=6-15+9=15-15=0 ⑩ (-17)-(-19)-(-16)-(-10)+(-13) =-17+19+16+10-13=-30+45=15 ⑪ -(-23)+(-6)+(-17)-20 =23-6-17-20=23-23-20=-20 ⑫ 0.5+(-4.28)-(-6)+(-5)+(-2.22) =0.5-4.28+6-5-2.22=6.5-6.5-5=-5 ① ② - ③ - ④ 0 ⑤ -⑥ ⑦ - ⑧ ⑨ - ⑩ 5 24 5 18 5 24 1 12 17 20 1 15 1 8 25 42 31 60 <풀이> ※ 덧셈과 뺄셈이 혼합된 식의 계산은 괄호를 푼 후, 양수는 양수끼리 음수는 음수끼리 계산 할 수도 있다. ① - -&- *+ =- + + =- + + =- + =

② & *+& *+& *=

-= - -= - =-25 42 49 42 24 42 28 42 21 42 24 42 2 3 1 2 4 7 2 3 1 2 4 7 31 60 55 60 24 60 15 60 40 60 24 60 1 4 2 3 2 5 1 4 2 3 2 5 ③ +&- *+ = - + = - + = - =-④ - -&- *+&- *=- + -=- + -=- + =0 ⑤ - -&- *-&- *=- + + =- + + =- + =-⑥ & * = + -= + -= - =

⑦ -&- *+&- *-&- *= - +

= - + = - =-⑧ &- *- -&- *=- - + =- - + =- + = ⑨ + +& *= + -=- + -=- + =⑩ & * +& *= -= - -= -=5 24 16 24 21 24 4 24 12 24 21 24 1 6 1 2 7 8 1 6 1 2 7 8 5 18 15 18 20 18 12 18 15 18 8 18 2 3 5 6 4 9 2 3 5 6 4 9 5 24 14 24 9 24 14 24 3 24 6 24 7 12 1 8 1 4 7 12 1 8 1 4 1 12 10 12 9 12 3 12 10 12 6 12 1 4 5 6 1 2 1 4 5 6 1 2 17 20 8 20 25 20 8 20 10 20 15 20 2 5 1 2 3 4 2 5 1 2 3 4 1 15 13 15 14 15 3 15 10 15 14 15 1 5 2 3 14 15 1 5 2 3 14 15 8 10 8 10 5 10 8 10 3 10 1 2 4 5 3 10 1 2 4 5 3 10 1 8 7 8 6 8 2 8 7 8 4 8 1 4 7 8 1 2 1 4 7 8 1 2

(41)

① - ② 1 ③ - ④ ⑤ 0 ⑥ -1 ⑦ ⑧ - ⑨ ⑩ -15 36 7 15 9 28 1 3 11 40 3 8 7 12 1 24 1 20 <풀이> ※ 괄호를 푼 후, 양수는 양수끼리 음수는 음수 끼리 계산할 수도 있다. ① - -&- *-&- *=- + + =- + + =- + =-② +&- *+ = - + = - + = - = =1

③ & *+& *+& *=

-= - -= - =④ & *& * = + -=- + -=- + = = ⑤ - -&- *+ =- + + =- + + =- + =0 ⑥ +&- *+&- *= -= - -= - =- =-1 ⑦ - + +&- *=- + -=- + -=- + = =1 3 10 30 28 30 18 30 15 30 28 30 3 30 1 2 14 15 1 10 1 2 14 15 1 10 11 40 51 40 71 40 20 40 36 40 35 40 20 40 9 10 7 8 1 2 9 10 7 8 1 2 3 6 3 6 1 6 2 6 3 6 1 6 1 3 1 2 1 6 1 3 1 2 3 8 9 24 20 24 11 24 8 24 20 24 3 24 1 3 5 6 1 8 1 3 5 6 1 8 7 12 17 12 10 12 8 12 9 12 10 12 2 3 3 4 5 6 2 3 3 4 5 6 1 24 25 24 3 24 28 24 12 24 3 24 16 24 1 2 1 8 2 3 1 2 1 8 2 3 1 20 9 20 10 20 5 20 4 20 10 20 1 4 1 5 1 2 1 4 1 5 1 2 ① 5, 2, 0 ② 0 ③ 1 ④ -1 ⑤ -⑥ 1 ⑦ 5, 2,-1⑧ 1 ⑨ 0 ⑩ 2 ⑪ 1 ⑫ -12 5 2 5 2 5 2 5 2 5 2 5 ⑧ &- *+&- *-&- *=- - +

=- - + =- + =-⑨ -&- *- -&- *= - + = - + = - = = ⑩ - +&- *-&- *=- - + =- - + =- + =- =-15 36 41 36 6 36 47 36 6 36 21 36 26 36 1 6 7 12 13 18 1 6 7 12 13 18 7 15 14 30 10 30 24 30 15 30 10 30 9 30 1 2 1 3 3 10 1 2 1 3 3 10 9 28 12 28 21 28 12 28 14 28 7 28 3 7 1 2 1 4 3 7 1 2 1 4 <풀이> ① + +&- *= + - = - =0 ② - - -&- *=- - + =- + =0 ③ +&- *-&- *= - + = - =1 ④ &- *- +&- *=- - -=- =- =-1

⑤ -&- *+&- *+&- *= -

-= -=- =-2 5 4 10 9 10 5 10 7 10 2 10 5 10 7 10 1 5 1 2 2 5 7 5 14 10 7 10 2 10 5 10 7 10 1 5 1 2 2 10 12 10 7 10 2 10 5 10 7 10 1 5 1 2 7 10 7 10 7 10 2 10 5 10 7 10 1 5 1 2 7 10 7 10 7 10 2 10 5 10 7 10 1 5 1 2

(42)

② -&-1 *+1 - =1 +1 -=2 - =2 ③ 1 +&-1 *+&- *=1 -1 -=1 -1 =- =-④ -&-1 *-1 -&- *=1 -1 + =1 -1 =2 -1 =1

⑤ &-1 *-&-1 *+&- *=-1 +1

-=-1 +1

=-2 +1

=-1

⑥ -&-1 *-&-1 *-&- *=1 +1 +

=2 =2 =3 ⑦ 1 -&-1 *-1 =1 +1 -1 =2 -1 =1 ⑧ -1 +1 +&-1 *=-1 +1 -1 =-2 +1 =-3 +1 =-2 ⑨ &-1 *-&-1 *+1 =-1 +1 +1 =-1 +2 =1 =1 ⑩ 1 -&-1 *-&-1 *=1 +1 +1 =3 =3 =42 5 7 5 14 10 7 10 2 10 5 10 7 10 1 5 1 2 2 5 4 10 9 10 5 10 7 10 2 10 5 10 7 10 1 5 1 2 2 10 2 10 2 10 12 10 7 10 2 10 5 10 7 10 1 5 1 2 7 10 7 10 7 10 2 10 5 10 7 10 1 5 1 2 2 5 7 5 14 10 7 10 2 10 5 10 7 10 1 5 1 2 2 10 2 10 2 10 12 10 7 10 2 10 5 10 7 10 1 5 1 2 2 10 2 10 2 10 12 10 7 10 2 10 5 10 7 10 1 5 1 2 2 5 4 10 9 10 5 10 7 10 2 10 5 10 7 10 1 5 1 2 7 10 7 10 7 10 2 10 5 10 7 10 1 5 1 2 ① 5, 2, -3 ② 2 ③ - ④ 1 ⑤ -1 ⑥ 3 ⑦ 5, 2, 1 ⑧ -2 ⑨ 1 ⑩ 4 ⑪ -1 ⑫ -12 5 2 5 2 5 2 5 2 5 2 5

⑥ -&- *-&- *-&- *= + +

= = =1 ⑦ - +&-1 *+ =- -1 + =-1 + =-1 ⑧ - +1 -&- *=- +1 + =- +1 =1 =1 ⑨ &- *-&-1 *- =- +1 -=- +1 =-1 +1 =0 ⑩ -&-1 *-&- *= +1 + =1 =1 =2

⑪ -&- *-&-1 *+&- *= +1

-=1 - =1

⑫ -&- *+&-1 *+&- *= -1

-= -1 =-1 =-12 5 4 10 9 10 5 10 7 10 2 10 5 10 7 10 1 5 1 2 7 10 7 10 7 10 2 10 5 10 7 10 1 5 1 2 2 5 7 5 14 10 7 10 2 10 5 10 7 10 1 5 1 2 2 10 2 10 2 10 12 10 7 10 2 10 5 10 7 10 1 5 1 2 2 5 4 10 9 10 5 10 7 10 2 10 5 10 7 10 1 5 1 2 7 10 7 10 7 10 2 10 5 10 7 10 1 5 1 2 2 5 7 5 14 10 7 10 2 10 5 10 7 10 1 5 1 2 <풀이> ① &-1 *-1 - =-1 -1 -=-2 =-2 =-32 5 7 5 14 10 7 10 2 10 5 10 7 10 1 5 1 2

(43)

<풀이>

① - -&- *= - +

= - =

② -&- *-&- *+&- *= +

-= - =0 ③ &- *-&- *-3 =- + -3 =-3 + =-3 =-3 ④ - -2 + =- -2 + =-2 + =-2 =-2 ⑤ 2 +& *+& *=2 -=-2 =-4 ⑥ &- *+2 -&-1 *=- +2 +1 =- +3 =3 =31 3 2 6 7 6 5 6 3 6 4 6 5 6 1 2 2 3 5 6 1 8 17 8 7 8 4 8 6 8 7 8 1 2 3 4 8 21 16 42 21 42 37 42 21 42 28 42 9 42 1 2 2 3 3 14 5 9 10 18 3 18 13 18 4 18 3 18 9 18 2 9 1 6 1 2 10 12 10 12 10 12 7 12 3 12 5 6 7 12 1 4 1 30 20 30 21 30 6 30 20 30 15 30 1 5 2 3 1 2 ⑦ 1 - -1 =1 - -1 =1 -1 =-⑧ -2 +&-1 *+ =-2 -1 + =-3 + =-3 =-3 ⑨ 1 +&-5 *-&-2 *=1 -5 +2 =3 -5 =-2

⑩ -&-3 *-&-1 *-&-2 *

=3 +1 +2 =6 =729 48 77 48 9 48 44 48 24 48 3 16 11 12 1 2 1 20 18 20 17 20 12 20 18 20 5 20 3 5 9 10 1 4 3 4 9 12 9 12 18 12 9 12 10 12 8 12 3 4 5 6 2 3 19 24 25 24 6 24 16 24 9 24 6 24 2 3 3 8 1 4 <풀이> ① -5 -&- *+2 =-5 + +2 =-5 +2 =-3 =-3 ② - -&-4 *-&- *=- +4 + =- +4 =- +3 =3 ③ - + - =- + -=- + =- =-5 6 10 12 10 12 20 12 9 12 10 12 11 12 3 4 5 6 11 12 77 90 122 90 45 90 32 90 45 90 12 90 20 90 45 90 2 15 2 9 1 2 1 5 6 30 14 30 20 30 5 30 9 30 20 30 1 6 3 10 2 3

⑪ &-1 *+&-1 *-&-1 *=-1 -1 +1

=-2 +1 =-1

⑫ -&-1 *+&-1 *+&-1 *=1 -1 -1

=1 -2 =-1 =-12 5 4 10 9 10 5 10 7 10 2 10 5 10 7 10 1 5 1 2 7 10 7 10 7 10 2 10 5 10 7 10 1 5 1 2 ① ② 0 ③ -3 ④ -2 ⑤ -4 ⑥ 3 ⑦ - ⑧ -3 ⑨ -2 ⑩ 729 48 1 20 3 4 19 24 1 3 1 8 8 21 5 9 1 30 ① -3 ② 3 ③ - ④ -2 ⑤ 0 ⑥ - ⑦ 3 ⑧ -1 ⑨ 3 ⑩ -17 8 19 28 11 18 1 4 1 36 23 24 5 6 77 90 1 5

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