Question

The decimal expansion of `15/32` is ______.

Options

• terminating

• non-terminating

• non-terminating repeating

• non-terminating non-repeating

Answer 1

The decimal expansion of `15/32` is terminating.

Explanation:

The decimal expansion of a rational number terminates if, after simplification, its denominator is of the form 2^m × 5ⁿ, where m and n are whole numbers.

For `15/32`, the denominator 32 is 2⁵ since 32 = 2⁵, which is of the form 2^m × 5ⁿ with m = 5, n = 0.

Hence, the decimal expansion of `15/32` terminates.

So, the decimal expansion of `15/32` is terminating.