Which property was used to simplify the expression of 3c+9+4c=3c+4c+9

Question:

Which property was used to simplify the expression?

3c+9+4c=3c+4c+9

distributive property

commutative property

associative property

inverse property

Answer:

Commutative property of addition is used

Solution:

Given that,

3c + 9 + 4c = 3c + 4c + 9

We have to find the property used here

The property used is commutative property of addition

Definition:

Commutative property of addition means that numbers can be added in any order and we will still get the same answer

This means that,

a + b + c = a + c + b

It doesnt matter which is added first, we will still get the same answer

Therefore,

3c + 9 + 4c = 3c + 4c + 9

7c + 9 = 7c + 9

Thus commutative property of addition is used