Question

is 33/375 a terminating decimal

Answer 1

Heya

33/375 = 11/125

By actual division we get the answer as 0.088 which is a terminating decimal

Without actual division,

125 can be written as 5³

A rational number' decimal expansion is terminating, if the denominator will have its prime factors as 2 or 5 or both 2 and 5.

Here the prime factors of 125 is 5.

Hence the decimal expansion will be a terminating one.

Hope it helps you! ^_^

Answer 2

Step-by-step explanation:

Heya

33/375 = 11/125

By actual division we get the answer as 0.088 which is a terminating decimal

Without actual division,

125 can be written as 5³

A rational number' decimal expansion is terminating, if the denominator will have its prime factors as 2 or 5 or both 2 and 5.

Here the prime factors of 125 is 5.

Hence the decimal expansion will be a terminating one.

Hope it helps you! ^_^