Without actually performing long division, find the decimal expansions of the following numbers.
(1) 17/8 (ii) 64/400 (iii) 15/1600.
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Step-by-step explanation:
1) 17 /8 = 17/ 2^3
= 17×5^3 /2^3 ×5^3
= 17 ×125 /10^3
= 2125 /1000 = 2.125 Ans
2) 64 /400 = 16 /100 = 0.16 Ans
3) 15 /1600 = 15 / 2^4 ×100
=15×5^4/ 2^4×5^4 ×100
= 9375 / 10^4 ×100
= 9375 /10000×100
= 0.009375 is the answer
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