Question

Write the decimal of 23 by 2 cube× 5 square

Answer 1

HERE IS YOUR ANSWER :


23/2³×5²

=> 23/8×25

=> 575/28

IN DECIMAL = 20.53571428571428...


HOPE IT HELPS YOU.

Answer 2

After 3 decimal places it will terminate.

Step-by-step explanation:

Given : Expression 23 by 2 cube × 5 square.

To find : Write the decimal expansion ?

Solution :

The expression is written as, $\frac{23}{2^3\times 5^2}$

Multiply numerator and denominator by 5,

$\frac{23}{2^3\times 5^2}=\frac{23\times 5}{2^3\times 5^3}$

$\frac{23}{2^3\times 5^2}=\frac{115}{(2\times 5)^3}$

$\frac{23}{2^3\times 5^2}=\frac{115}{(10)^3}$

It will terminate after 3 decimal places.

$\frac{23}{2^3\times 5^2}=0.115$

Therefore, after 3 decimal places it will terminate.

#Learn more

The decimal representation of 11/2^3*5 will

a) terminate after 1 decimal place

b) terminate after 2 decimal places

c) terminate after 3 decimal places

d) not terminate​

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