Which property justifies each step? (6+2)a+8b=8a+8b
The property that justifies each step in the equation (6+2)a + 8b = 8a + 8b is the distributive property.
To understand this, let's break down the equation step by step:
Step 1: (6+2)a + 8b
Here, we have the expression (6+2) multiplied by a, and then we add 8b. The distributive property allows us to multiply each term inside the parentheses, (6+2), by a.
Step 2: 8a + 8b
After applying the distributive property, we simplify the equation by multiplying (6+2) by a, which gives us 8a. Since both terms, 8a and 8b, have the same variable (b), we can combine them.
In conclusion, the distributive property is the property that justifies the simplification of (6+2)a + 8b = 8a + 8b equation from step 1 to step 2.
what properties do you know?
It should be easy to pick the one you want.