Question

Fill in the blanks: $27\times \left( 23+27 \right)=\left( 27\times 23 \right)+\left( \_\_\times 27 \right)$ ?

Answer 1

Hint: In the given question, we are asked to fill the missing space. In the question we can easily see that the distributive property is used on the left-hand side numbers and then the right-hand side is written in which we need to fill the missing space.

Complete step-by-step solution:
In the given question we are asked to find the missing value on the right-hand side which we need to attain using the left-hand side of the equation. Direct use of the property will give us the required result and then we will be able to compare it with the given right-hand side and hence we will be able to find the missing value.
Now, we are given that $27\times \left( 23+27 \right)=\left( 27\times 23 \right)+\left( \_\_\times 27 \right)$
And in this if we apply the distributive property which is $a\times \left( b+c \right)=a\times b+a\times c$ .
Using this property for the left-hand side of the given equality we get $27\times \left( 23+27 \right)=\left( 27\times 23 \right)+\left( 27\times 27 \right)$.
Now, directly comparing this attained result with the right-hand side of the equation we can say that the missing value is 27.
Therefore, the missing value is 27.

Note: In the question all we need to be careful is about the property that we need to use. Directly applying the identity or property gives results of such type of questions. All we need to do is compare the property and right-hand side wisely in order to avoid any kind of mistake.