Find each of the following products.

(i) 736 × 93
(ii) 816 × 745
(iii) 2032 × 613

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Solution

(i) 736 × 93
∵ 93 = (100 − 7)
∴ 736 × (100 − 7)
= (736 × 100) − ( 736 × 7)
(Using distributivity of multiplication over subtraction of whole numbers)
= 73600 − 5152 = 68448

(ii) 816 × 745
∵ 745 = (750 − 5)
∴ 816 × (750 − 5)
= (816 × 750) − ( 816 × 5)
(Using distributivity of multiplication over subtraction of whole numbers)
= 612000 − 4080 = 607920

(iii) 2032 × 613
∵ 613 = (600 +13)
∴ 2032 × (600 + 13)
= (2032 × 600) + ( 2032 × 13)
= 1219200 + 26416 = 1245616

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