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Estimating Sum or Difference

Simplify: i ...

Question

Simplify:
i) $45 + (- 12) - 12$
ii) $123 + 89 - (- 11)$
iii) $- 85 - 15 + 200$
iv) $96 + (- 16) - (- 20)$
v). $36 - (- 14) + 25$
vi) $155 + (- 25) + 50$
vii) $23 + (- 56) - (- 56)$
viii) $45 - 85 - 15 + (- 25)$
ix) $78 - 39 + (- 19) - (- 29)$
x) $450 - 255 + (- 230) + 560$

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Solution

(i) 45+(-12)-12
= 45-12-12
= 45-24
= 21

(ii) 123+89-(-11)
= 123+89+11
=293

(iii) -85-15+200
=-100+200
=100

(iv) 96+(-16)-(-20)
= 96-16+20
= 116-16
=100

(v) 36-(-14)+25
= 36+14+25
=75

(vi) 155+(-25)+50
= 155-25+50
= 205-25
= 180

(vii) 23+(-56)-(-56)
= 23-56+56
= 79-56
= 23

(viii) 45-85-15+(-25)
= 45-85-15-25
= 45-125
=-80

(ix) 78-39+(-19)-(-29)
=75-39-19+29
= 107-58
=49

(x) 450-255+(-230)+560
= 450-255-230+560
= 1010-485
=525

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Q. Simplify:
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Solve:
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(ii) $98 \div - 28$
(iii) $- 51 \div 68$
(iv) $38 \div - 57$
(v) $- 85 \div 20$
(vi) $- 150 \div - 25$
(vii) $100 \div 60$
(viii) $9 \div - 54$
(ix) $78 \div 65$
(x) $- 5 \div - 315$

Q. Multiply:

(i) 16 by 9
(ii) 18 by − 6
(iii) 36 by − 11
(iv) − 28 by 14
(v) − 53 by 18
(vi) − 35 by 0
(vii) 0 by − 23
(viii) − 16 by − 12
(ix) − 105 by − 8
(x) − 36 by − 50
(xi) − 28 by − 1
(xii) 25 by − 11

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