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Q.

After how many decimal places the decimal expansion of the rational number 2322×5 will terminate?

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a

1

b

3

c

2

d

5 

answer is C.

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Detailed Solution

The given rational number is 2322×5.
Simplify the given number as follows,
2322×5=2322×5×55 ⇒2322×5=23×54×5×5 ⇒2322×5=115100 ⇒2322×5=1.15 Therefore, the decimal expansion of the rational number 2322×5 will terminate after 2 places.
Hence, option 3 is correct.
 
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