After how many decimal places, the decimal expansion of the rational number $37 22 × 5$ will terminate?

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one decimal place

two decimal places

three decimal places

four decimal places

answer is B.

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Detailed Solution

Given is the number as follows,

37 22 × 5

.
We can observe that the denominator is

(22 × 5)

, which means that the rational number terminates as it is multiple of 10.
Now to make the denominator a power of 10, we multiply the numerator and the denominator of the rational number by 5 and simplify as follows,

37 22 × 5 = 37 × 5 22 × 5 × 5 37 22 × 5 = 185 4 × 25 37 22 × 5 = 185100 37 22 × 5 = 1.85

So, the decimal expansion of the rational number is obtained as 1.85 which terminates after two decimal places.
Hence, the correct option is (2).

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