Question 1 i Without actually performing the long division- state whether 13-3125 will have a terminating decimal expansion or a non-terminating repeating decimal expansion-

Name: NCERT - Grade 10 - Mathematics - Real Numbers - Q16_1
Uploaded: 2022-07-04T10:36:42+05:30
Description: 13/3125 On factorising the denominator, we get, 3125 =5 × 5 × 5 × 5 × 5 = 5^5 Here, the denominator is in the form of 2^m× 5^n, where m = 0 and n = 5. It means ...

13/3125 On factorising the denominator, we get, 3125 =5 × 5 × 5 × 5 × 5 = 5^5 Here, the denominator is in the form of 2^m× 5^n, where m = 0 and n = 5. It means ...

216

You visited us 216 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Terminating and Non-Terminating Decimals

Question 1 i ...

Question

Question 1 (i)
Without actually performing the long division, state whether $\frac{13}{3125}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Open in App

Solution

$\frac{13}{3125}$
On factorising the denominator, we get,
$3125 = 5 \times 5 \times 5 \times 5 \times 5 = 5^{5}$
Here, the denominator is in the form of $2^{m} \times 5^{n}$ , where m = 0 and n = 5.
It means that the rational number $\frac{13}{3125}$ has a terminating decimal expansion.

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:

\frac{13}{3125}

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.

Question 1 (ix)
Without actually performing the long division, state whether $\frac{35}{50}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

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

\frac{13}{3125}

Question 1 (x)
Without actually performing the long division, state whether $\frac{77}{210}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Join BYJU'S Learning Program

Explore more

Terminating and Non-Terminating Decimals

Standard X Mathematics

Join BYJU'S Learning Program

Question 1 (i) Without actually performing the long division, state whether 133125 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

133125 On factorising the denominator, we get, 3125=5×5×5×5×5=55 Here, the denominator is in the form of 2m×5n, where m = 0 and n = 5. It means that the rational number 133125 has a terminating decimal expansion.

Question 1 (i)
Without actually performing the long division, state whether $\frac{13}{3125}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

$\frac{13}{3125}$
On factorising the denominator, we get,
$3125 = 5 \times 5 \times 5 \times 5 \times 5 = 5^{5}$
Here, the denominator is in the form of $2^{m} \times 5^{n}$ , where m = 0 and n = 5.
It means that the rational number $\frac{13}{3125}$ has a terminating decimal expansion.