Question

Write the decimal expansion of those numbers from the following that have terminating decimals.

`37/400`

Answer 1

The number `37/400` has a terminating decimal expansion because the denominator 400 can be expressed as 2⁴ × 5², which is of the form 2^m × 5ⁿ where m and n are whole numbers.

Now, to write the decimal expansion, multiply the numerator and denominator to get denominator as a power of 10:

`37/400`

= `(37 xx 25)/(400 xx 25)`

= `925/10000`

= 0.0925

Therefore, the decimal expansion of `37/400` is 0.0925.