Question

Write the following rational number in decimal form and say what kind of decimal expansion it has:
(III) $\frac{31}{32}$

Answer 1

Decimal form of rational numbers:

A terminating decimal, is a decimal that has an end.

A non-terminating decimal is defined as a decimal number that does not have an endpoint in its decimal digit and keeps repeating forever.

On simple division we get ,

$\frac{31}{32}$$=0.96875$

Hence, the decimal form of $\frac{31}{32}$ is $0.96875$ and the decimal expansion is terminating.