Question

find after how many places of decimal the decimal form of the number 27/2^3×5^4×3^2 will terminate?

Answer 1

The given rational number will terminate after four digits (0.0006)

Step-by-step explanation:

Given Data

$\frac{27}{2^3 \times 5^4 \times 3^2}$

To find - after how many places of decimal from of the number will terminate

$\frac{27}{2^3 \times 5^4 \times 3^2}$

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

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

$=> \frac{3}{8 \times 625}$

$=> \frac{3}{5000}$

=> 0.0006

The answer we got for the expression $\frac{27}{2^3 \times 5^4 \times 3^2}$ is 0.0006, which is in the type of terminating decimal.

After the decimal point, there are four digits. So the answer 0.0006 takes four place after the decimal to terminate.

To Learn More ....

1)The decimal expansion of the rational number 43/2^4 5 ^3 will terminate after how many places of decimal

https://brainly.in/question/1219357

2)After how many decimal places will be the decimal expansion of 23 by 2 power 4 into 5 power 3 terminate?

https://brainly.in/question/6541563

Answer 2

Answer:

the answer is 10 because