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

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Solution

129/(2^2 x 5^7 x 7^5 )

Denominator has 7 in denominator so denominator is not in form of 2^n x 5^n

Hence it is none terminating.

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Q. 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}}

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

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.
(i)

\frac{23}{8}

(ii)

\frac{125}{441}

(iii)

\frac{35}{50}

(iv)

\frac{77}{210}

(v)

\frac{129}{2^{2} \times 5^{7} \times 7^{17}}

(vi)

\frac{987}{10500}

Q. Question 1 (iii)
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:

\frac{64}{455}

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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

129/(2^2 x 5^7 x 7^5 ) Denominator has 7 in denominator so denominator is not in form of 2^n x 5^n Hence it is none terminating.

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

129/(2^2 x 5^7 x 7^5 )

Denominator has 7 in denominator so denominator is not in form of 2^n x 5^n

Hence it is none terminating.