better review the distributive property.
associative would be (6a+2a)+8b = 6a+(2a+8b)
question~ 3. (6a + 2a) +8b = (6 + 2)a + 8b
Answer~ Associative property of addition
associative would be (6a+2a)+8b = 6a+(2a+8b)
I really appreciate your help!
Here's the correct justification:
Step 1: (6a + 2a) + 8b
In this step, we can use the distributive property to distribute the 6 and 2 to both terms inside the parentheses.
= (6 + 2)a + 8b
Step 2: (6 + 2)a + 8b
This step simplifies the expression inside the parentheses by adding 6 and 2.
= 8a + 8b
Therefore, the property that justifies each step is the distributive property.
To correctly apply the distributive property, you need to multiply the number outside the parenthesis by each term inside the parenthesis. Let's break it down step by step:
Starting with the left side of the equation:
(6a + 2a) + 8b
We can combine like terms inside the parenthesis:
(8a) + 8b
Now, let's move to the right side of the equation:
(6 + 2)a + 8b
First, we simplify the addition inside the parenthesis:
(8)a + 8b
As you can see, both sides of the equation simplify to the same expression: 8a + 8b. Therefore, you can conclude that the equation is correct based on the distributive property.