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.
$\frac{29}{343}$

Terminating

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Non-terminating

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Ambiguous

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Data insufficient

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Solution

The correct option is B Non-terminating
Given, $\frac{29}{343} = \frac{29}{7^{3}}$
As it is not in the form of $2^{m} \times 5^{n}$ .
So, the rational number $\frac{29}{343}$ has a non terminating decimal expansion

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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 decimal expansion : $\frac{29}{343}$

Q. Without actually performing the long division, state whether the following rational number will have terminating decimal expansion or a non-terminating repeating decimal expansion. Also, find the numbers of places of decimals after which the decimal expansion terminates.

\frac{29}{343}

Question 1 (v)
Without actually performing the long division, state whether $\frac{29}{343}$ 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.

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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.29343

The correct option is B Non-terminatingGiven, 29343=2973As it is not in the form of 2m×5n.So, the rational number 29343 has a non terminating decimal expansion

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.
$\frac{29}{343}$

The correct option is B Non-terminating
Given, $\frac{29}{343} = \frac{29}{7^{3}}$
As it is not in the form of $2^{m} \times 5^{n}$ .
So, the rational number $\frac{29}{343}$ has a non terminating decimal expansion