Question

evaluate the following using distributive property b. (-85)×43+43×(-15) c. 53×(-9)-(-109)×53
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Answer 1

Answer:

(i) -39 × 99 = -39 × [100 -1]

= -39 × 100 + (-39) × (-1)

= -3900 + 39 = -3861

(ii) (-85) × 43 + 43 × (-15)

= 43 × (-85) + 43 × (-15)

= 43 × [-85 – 15]

= 43 × [-100] = -4300

(iii) 53 × (-9) – (-109) × 53

= 53 × (-9) – 53 × (-109)

= 53 × [(-9) – (-109)]

= 53 × [-9 + 109] = 53 × 100 = 5300

(iv) 68 × (-17) + (-68) × 3

= 68 × (-17) + 68 × (-3)

= 68 × [(-17) + (-3)]

= 68 × (-20) = -1360