Write down the decimal expansion of 163125 without actual division-

163125 = 165^5 = 16 ×2^55^5×2^5 = 16 × 32( 2 × 5 )^5 = 51210^5 = 0.00512 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Real Numbers

Write down th...

Question

Write down the decimal expansion of $\frac{16}{3125}$ without actual division.

Open in App

Solution

$\frac{16}{3125}$
$= \frac{16}{5^{5}}$
$= \frac{16 \times 2^{5}}{5^{5} \times 2^{5}}$
$= \frac{16 \times 32}{{(2 \times 5)}^{5}}$
$= \frac{512}{10^{5}} = 0.00512$

Suggest Corrections

Similar questions

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.

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion : $\frac{13}{3125}$ [1 MARK]

Join BYJU'S Learning Program

Write down the decimal expansion of 163125 without actual division.

163125=1655=16×2555×25=16×32(2×5)5=512105=0.00512

Write down the decimal expansion of $\frac{16}{3125}$ without actual division.

$\frac{16}{3125}$
$= \frac{16}{5^{5}}$
$= \frac{16 \times 2^{5}}{5^{5} \times 2^{5}}$
$= \frac{16 \times 32}{{(2 \times 5)}^{5}}$
$= \frac{512}{10^{5}} = 0.00512$