Question

Write the decimal expansion of 1717/2^3×5^3 without actual division

Answer 1

1717/8×125=1717/1000=1.717

Answer 2

Answer:

The decimal expansion of the given expression is 1.717.

Step-by-step explanation:

Given : Expression $\frac{1717}{2^3\times 5^3}$

To find : Write the decimal expansion of expression without actual division?

Solution :

Expression  $\frac{1717}{2^3\times 5^3}$

We can write the power as $a^x\times b^x=(ab)^x$

So, we can write $2^3\times 5^3=(2\times 5)^3=10^3$

Substitute  back in expression,

$=\frac{1717}{10^3}$

$=\frac{1717}{1000}$

$=1.717$

Therefore, The decimal expansion of the given expression is 1.717.