Question

Hector must find the sum of 50+83+50 by using mental math. Which property allows Hector to simplify the equation to 50+50+83 and find an equivalent sum? associative property commutative property distributive property identity property

Answer 1

Hector used commutative property .

Explanation:

The required sum is

50+50+83\\
=100+83\\
=83

Answer 2

Hector need to find the sum of 50+83+50 b using mental math.

Hector simplify the expression 50+50+83 to find the required sum.

We can see that he has changed the order of addition.

We know that when we change the order of the addition then it doesn't affect the result. This law is called commutative property of addition.

This law states that for any real number x and y, we have

`x+y = y+x`

Therefore, Hector used commutative property .

The required sum is

`50+50+83\\ =100+83\\ =83`