The missing number is 40.
Complete equation: [tex]8\times(40+7)[/tex] [tex]= (8\times 40)+( 8\times 7)[/tex]
Given:
[tex]8\times(40+7)=(8\times?)+(8\times7)[/tex]
To find:
The missing number that completes the given equation.
According to the distributive property,
[tex]a\times (b+c)=( a\times b) +(a\times c)[/tex]
Comparing left-side , we have
a= 8, b =40 and c =7
So, by using distributive property, we get
[tex]8\times(40+7)[/tex] [tex]= (8\times 40)+( 8\times 7)[/tex]
Therefore, the missing number is 40.
Learn more about distributive property here:
https://brainly.com/question/2581693
