Question

Write how many places the decimal expansion of 13497÷1250 will terminate

Answer 1

10.7976 is the expansion

Answer 2

Answer:

The required answer is 4.

Step-by-step explanation:

Given :  13497÷1250

To find : Write how many places the decimal expansion of 13497÷1250 will terminate?

Solution :

To know the decimal terminates we make the denominator in $2^n\times 5^n$ then n is the decimal place terminate.

Expression 13497÷1250

$=\frac{13497}{1250}$

$=\frac{13497}{2\times 5^4}$

Multiply n divide with $2^3$

$=\frac{13497\times 2^3}{2^4\times 5^4}$

The place is 4 decimal

Now, we solve n find it

$=\frac{13497\times 8}{10^4}$

$=\frac{107976}{10000}$

$=10.7976$

Therefore, The required answer is 4.