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Q.

The decimal representation of 11 2 3 ×5  will terminate after how many decimal places.


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a

2

b

4

c

5

d

3 

answer is D.

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Detailed Solution

According to the question we have 11 2 3 ×5   We have to find the decimal places of termination of rational number.
Rewrite the expression by making denominator to power of 10
Rewriting it as
11 2 3 ×5 = 11× 5 2 2 3 × 5 3 ⇒ 11 2 3 ×5 = 11×25 10 3 ⇒ 11 2 3 ×5 = 275 1000 ⇒ 11 2 3 ×5 =0.275   Therefore, it will terminate after three decimal places.
Hence option 4 is correct.
 
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