Question

Question Number 2 of 20 - Algebra I

Which is an example of the commutative property of addition?
3+5m=5m+3
3+5m=(3+5)m
3+ 5m= 3 + (1 + 4)m 3+5m=3m+5

Answer 1

• 3 + 5m = 5m + 3

What is the communitive property of addition?

The commutative property of addition means that it does not matter what order in which you add numbers. You will get the same answer either way. It is represented as a + b = b + a, in which a and b are real numbers. However, the property is not limited to two numbers.

How would the communitive property of addition be applied to the expression 3 + 5m = 5m + 3?

1) Rearrange terms

3 + 5m = 5m + 3

5m + 3 = 5m + 3

2) Subtract 3 from both sides

5m + 3 = 5m + 3

5m + 3 - 3 = 5m + 3 - 3

3) Simplify

- Subtract the numbers

5m + 3 - 3 = 5m + 3 - 3

5m = 5m + 3 - 3

- Subtract the numbers

5m = 5m + 3 - 3

5m = 5m

4) Subtract 5m from both sides

5m = 5m

5m - 5m = 5m - 5m

5) Simplify

- Combine like terms

5m - 5m = 5m - 5m

0 = 5m - 5m

- Combine like terms

0 = 5m - 5m

0 = 0

This means it has infinite solutions.

But the commutative property addition have been shown.