1717/2^2x5^3 Write the decimal expansion without actual division.

Open in App

Solution

$\frac{1717}{2^{2} \times 5^{3}} = \frac{1717 \times 2}{2^{3} \times 5^{3}} = \frac{3434}{{(2 \times 5)}^{3}} = \frac{3434}{1000} = 3.434$

Suggest Corrections

Similar questions

Q. Write the decimal expansion of

\frac{91}{1250}

without actual division.

Q. Write the denominator of the rational number

\frac{257}{5000}

in the form

2^{m} \times 5^{n}

, where

m, n

are non-negative integers. Hence, write the decimal expansion, without actual division.

Q. Without actual division find whether

\frac{17}{68}

has terminating of non-terminating recurring decimal expansion?

Q. Without actually performing the long division, state whether

\frac{77}{210}

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

Question 13
Write the denominator of rational number $\frac{257}{5000}$ in the form $2^{m} \times 5^{n}$ , where m, n are non - negative integers. Hence, write its decimal expansion, without actual division.

Join BYJU'S Learning Program

1717/2^2x5^3 Write the decimal expansion without actual division.

171722 × 53 = 1717 × 223 × 53 = 34342×53 = 34341000 = 3.434

$\frac{1717}{2^{2} \times 5^{3}} = \frac{1717 \times 2}{2^{3} \times 5^{3}} = \frac{3434}{{(2 \times 5)}^{3}} = \frac{3434}{1000} = 3.434$