Without actual division find whether 1768 has terminating of non-terminating recurring decimal expansion-

68=2×2×17=2^2×17 Since Denominator has 17 and as well as numerator has 17 so, 1768 will terminate as non repeating decimal. ...

You visited us 6 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Terminating and Non-Terminating Decimals

Without actua...

Question

Without actual division find whether $\frac{17}{68}$ has terminating of non-terminating recurring decimal expansion?

Open in App

Solution

$68 = 2 \times 2 \times 17 = 2^{2} \times 17$
Since Denominator has $17$ and as well as numerator has $17$ so, $\frac{17}{68}$ will terminate as non repeating decimal.

Suggest Corrections

Similar questions

Q. Without actually performimg the division, find whether,

\frac{39}{625}

will have terminating or non terminating decimal expansions. Give reason.

Q. Without actually performing the long division, state whether

\frac{15}{1600}

will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

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

\frac{15}{1600}

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:

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

Without actual division find whether 1768 has terminating of non-terminating recurring decimal expansion?

68=2×2×17=22×17Since Denominator has 17 and as well as numerator has 17 so, 1768 will terminate as non repeating decimal.

Without actual division find whether $\frac{17}{68}$ has terminating of non-terminating recurring decimal expansion?

$68 = 2 \times 2 \times 17 = 2^{2} \times 17$
Since Denominator has $17$ and as well as numerator has $17$ so, $\frac{17}{68}$ will terminate as non repeating decimal.