Question

What kind of decimal expansion does 37 have?
8

(a) Terminating
(b) Non-terminating recurring​

Answer 1

Answer:

terminating

Step-by-step explanation:

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Answer 2

The decimal expansion of 37/8 is terminating

Therefore, option (a) is correct.

Step-by-step explanation:

The given rational number is 37/8

Which can be written as

$\frac{37}{8}=\frac{37}{2^3}$

We know that if the denominator of a rational number can be written in the form of $5^m2^n$ then the expansion of the rational number is terminating else non-terminating recurring

Here, the denominator can be written as $5^02^3$

Therefore, the decimal expansion of 37/8 is terminating

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