Question

The decimal representation of 11/40 will:-
a) terminate after 1 decimal place
b) terminate after 2 decimal places
c) terminate after 3 decimal places
d) not terminate


explain also​

Answer 1

Answer:

according to me c option is correct.

Answer 2

Option c - terminate after 3 decimal places

Step-by-step explanation:

Given : Expression $\frac{11}{40}$

To find : The decimal representation of expression will be ?

Solution :  

If the denominator in the fraction is not in the form of $2^m$  and $5^n$ then it is non-terminating decimal representation.

If the denominator in the fraction is in the form of $2^m$  and $5^n$  then it is terminating decimal representation.

Now, we convert denominator in form,

$\frac{11}{40}=\frac{11}{2^3\times 5^1}$

The denominator in the fraction is in the form of  $2^m$  and $5^n$ where m=3 and n=1.

So, it is terminating decimal representation.

$\frac{11}{40}=\frac{11\times 5^2}{2^3\times 5^3}=\frac{275}{10^3}=0.275$

Terminate after 3 decimal places.

Therefore, option c is correct.

#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​

https://brainly.in/question/12556546