1.

 Evaluate the following:(i) 102 × 106(ii) 109 × 107

Answer»

(i) 102 × 106

We can express 102 as 100 + 2 and 106 as 100 + 6

= 102 × 106

 = (100 + 2) (100 + 6)

= 100 (100 + 6) + 2 (100 + 6)

= 10000 + 600 + 200 + 12

= 10812

(ii) 109 × 107

We can express 109 as 100 + 9 and 107 as 100 + 7

= 109 × 107 

= (100 + 9) (100 + 7)

= 100 (100 + 7) + 9 (100 + 7)

= 10000 + 700 + 900 + 63

= 11663



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