Question

the decimal representation of 11/2^3×5​

Answer 1

The number will terminate after 3 decimal places.

Step-by-step explanation:

Given : Expression $\frac{11}{2^3\times 5}$

To find : The decimal representation of expression is ?

Solution :

We can write expression as,

$\frac{11}{2^3\times 5}$

Multiply and divide by $5^2$

$=\frac{11}{2^3\times 5}\times \frac{5^2}{5^2}$

$=\frac{11\times 5^2}{2^3\times 5^3}$

$=\frac{11\times 25}{(2\times 5)^3}$

$=\frac{11\times 25}{(10)^3}$

The number will terminate after 3 decimal places.

So, $\frac{11}{2^3\times 5}=0.275$

#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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