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without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form. (?)31 2^2 ×5^3 (??)33 50 (???)17 625 (??)41 1000

Posted by Garima . 4 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Vinod Khandelwal 4 years, 4 months ago

(1) multiply numerator and denominator by 2 62/1000 0.062 (2)multiply numerator and denominator by 2 66/5*5*2*2 66/100 0.66 (3) multiply numerator and denominator by 2 power 4 272/5*5*5*5*2*2*2*2 272/10000 0.0272 (4)41/1000 1000=2^3*5^3 0.041

1Thank You

Adithya Dev A 4 years, 4 months ago

(I) 31/2^2 * 5^3. Here, since the denominator is of the form 2^n * 5^n, the above number is terminating. Similarly, (II) 50 can be written as 5^2 * 2, (III) 625 = 5^4 and (IV) 1000 = 5^3 * 2^3.

1Thank You

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CBSE > Class 10 > Mathematics