So what I have to do is say which property justifies each step, this is what I put and my teacher said I got it wrong... could someone please help me?
question~ 3. (6a + 2a) +8b = (6 + 2)a + 8b
Answer~ Associative property of addition
Thank you so much! Distributive property is what I thought it would be but I wasn't sure because the "a" wasn't in the parenthesis.
I really appreciate your help!
better review the distributive property.
associative would be (6a+2a)+8b = 6a+(2a+8b)
Your answer is incorrect. The property that justifies each step in the given equation is actually the distributive property, not the associative property of addition.
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.
Your answer is incorrect because you applied the wrong property. The property used in this case is the distributive property, not the associative property of addition.
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.