Question

Identify the property that justifies the following statement: if 16m=160,then m=10

Answer 1

Property of equality for division.

Explanation:

The given expression is

`16m=160`

So, we use one of the properties of equalities for division, which states that if we divide one side of the equation, we also must divide the other side by the same number, to not mess up the balance of the equation. Applying this property, we have

`(16m)/(16)=(160)/(16)\\ m=10`

Answer 2

Division Property of Equality

16m = 160

divide both sides by 16 to find m

m = 160/16 = 10