Question

the decimal expansion of 65782 by 125 will terminate after which decimal place??​

Answer 1

Answer:

65782 divide by 125

= 526.256

Answer 2

The decimal place $\dfrac{65782}{125}$= 526.256

Step-by-step explanation:

We have,

$\dfrac{65782}{125}$

To find, the decimal place $\dfrac{65782}{125}=?$

∴ $\dfrac{65782}{125}$

$=\dfrac{65782}{5^3}$

Multiplying nemerator and denominator by $2^{3}$, we get

$=\dfrac{65782\times 2^3}{5^3\times 2^3}$

$=\dfrac{65782\times 8}{(5\times 2)^3}$

Using the identity,

$(a\times b)^m=a^m\times b^m$

$=\dfrac{526256}{(10)^3}$

$=\dfrac{526256}{1000}$

= 526.256

Hence, the decimal place $\dfrac{65782}{125}$= 526.256