Evaluate the following, using distributive property.
(i) – 39 × 99 (ii) (– 85) × 43 + 43 ×(-15) (iii) 53 × ( – 9) – ( – 109) × 53 (iv) 68 × (–17) + ( –68) ×3
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Using Distributive Property
a(b+c)=ab+ac
(i)
-39×99
=-39 ×(100-1)
=-3900+39
=-3861
ii)
(– 85) × 43 + 43 ×(-15)
=43× (-85-15)
=43× (-100)
=-4300
(iii)
53 × ( – 9) – ( – 109) × 53
=53×(-9+109)
=53×100
=5300
(iv)
68 × (–17) + ( –68) ×3
=> 68 × (–17) + 68×(-3)
=68× (-17-3)
=68(-20)
=-1360
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