Rewrite each expression using the indicated property.
(x+7)+3, Associate Property
5(3)+5(4), Distributive Property
I'm in middle school and my teacher gave those problems and I don't understand. Can someone help me please? Thanks!
x + (7+3) or x+10
5(3+4) or 5*7
Linda, please don't respond to questions when you don't know the answer. Also -- if you think you do know the answer, please make sure that you're right.
Of course! I'd be happy to help you understand how to rewrite those expressions using the specified properties.
Let's start with the first expression: (x+7)+3, using the Associate Property. According to the Associate Property, you can change the grouping of the numbers without changing the result. In this case, we can group the x with the 7 first, and then add the 3. Let's do that step by step:
1. Start with the original expression: (x+7)+3
2. Group the x with the 7: x+(7+3)
3. Perform the addition inside the parentheses: x+10
So, using the Associate Property, the expression (x+7)+3 can be rewritten as x+10.
Now let's move on to the second expression: 5(3)+5(4), using the Distributive Property. The Distributive Property allows you to multiply each term inside the parentheses by the number outside the parentheses. Here's how to apply the Distributive Property to the expression:
1. Start with the original expression: 5(3)+5(4)
2. Multiply 5 by 3: 15 + 5(4)
3. Multiply 5 by 4: 15 + 20
So, using the Distributive Property, the expression 5(3)+5(4) can be rewritten as 15 + 20.
I hope this explanation helps you understand how to apply the Associate and Distributive Properties to rewrite expressions! If you have any further questions, please feel free to ask.