Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non terminating repeating decimal expansion:
$\frac{129}{2^{2} 5^{7} 7^{5}}$

Open in App

Solution

A simplified fraction of the form $\frac{p}{q}$ has a terminating decimal expansion if and only if all the prime factors of $q$ are either 2 or 5.
Given: $q = 2^{2} 5^{7} 7^{5}$
As the given denominator has $7$ as a prime factor, the decimal expansion will be non-terminating.

Suggest Corrections

Similar questions

Q. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

129÷2²5⁷7⁵

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

Q. Without actually performing the long division method, state whether the following rational numbers will have a terminating decimal expansion or a non -terminating repeating decimal expansion.

Q. Without actually performing the long division, we can state that the following rational number will have a non terminating decimal expansion.

\frac{129}{2^{2} 5^{7} 7^{5}}

Question 1 (vii)
Without actually performing the long division, state whether $\frac{129}{2^{2} \times 5^{7} \times 7^{5}}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Join BYJU'S Learning Program

Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non terminating repeating decimal expansion: 129225775

A simplified fraction of the form pq has a terminating decimal expansion if and only if all the prime factors of q are either 2 or 5.Given: q=225775As the given denominator has 7 as a prime factor, the decimal expansion will be non-terminating.

Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non terminating repeating decimal expansion:
$\frac{129}{2^{2} 5^{7} 7^{5}}$

A simplified fraction of the form $\frac{p}{q}$ has a terminating decimal expansion if and only if all the prime factors of $q$ are either 2 or 5.
Given: $q = 2^{2} 5^{7} 7^{5}$
As the given denominator has $7$ as a prime factor, the decimal expansion will be non-terminating.