Question 1 vWithout actually performing the long division- state whether 29-343 will have a terminating decimal expansion or a non-terminating repeating decimal expansion-

Name: NCERT - Grade 10 - Mathematics - Real Numbers - Q16_5
Uploaded: 2022-07-04T10:36:42+05:30
Description: 29/343 On factorising the denominator, we get; 343 = 7 × 7 × 7 = 7^3 The denominator is not in the form of nbsp;2^m× 5^n. Thus, the decimal expansion of nbs ...

29/343 On factorising the denominator, we get; 343 = 7 × 7 × 7 = 7^3 The denominator is not in the form of nbsp;2^m× 5^n. Thus, the decimal expansion of nbs ...

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Standard IX

Mathematics

Natural Numbers

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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.

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Solution

$\frac{29}{343}$
On factorising the denominator, we get;
$343 = 7 \times 7 \times 7 = 7^{3}$
The denominator is not in the form of $2^{m} \times 5^{n}$ .
Thus, the decimal expansion of $\frac{29}{343}$ is non-terminating.

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Question 1 (v) Without actually performing the long division, state whether 29343 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

29343 On factorising the denominator, we get; 343=7×7×7=73 The denominator is not in the form of 2m×5n. Thus, the decimal expansion of 29343 is non-terminating.

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.

$\frac{29}{343}$
On factorising the denominator, we get;
$343 = 7 \times 7 \times 7 = 7^{3}$
The denominator is not in the form of $2^{m} \times 5^{n}$ .
Thus, the decimal expansion of $\frac{29}{343}$ is non-terminating.