Lance wants to find the total length of 3 boards. He uses the expression 3 1/2 + (2+ 4 1/2). How can Lance rewrite the expression using both the Associative and Commutative Properties of Addition?
3 1/2 + (2+ 4 1/2)
3 1/2 + 4 1/2 + 2
3 + 1/2 + 2 + 4 + 1/2
3+2+4 + 1/2 + 1/2
9 + 1
10
or, you can rearrange the numbers in other ways.
5 1/2+ 4 1\2 = 10 There
Celebrating Travis Scott’s baby
4 1/2(2+4 1/2
12+12=35
To rewrite the expression using the Associative Property of Addition, Lance can rearrange the terms in the expression without changing their sum.
First, let's rewrite the expression using the commutative property to rearrange the terms:
3 1/2 + (2 + 4 1/2)
When using the commutative property, we can change the order of addition. So we can rearrange the terms inside the parentheses:
3 1/2 + (4 1/2 + 2)
Next, let's use the associative property to rearrange the terms without changing the sum.
The associative property states that when adding three or more numbers, the grouping of the numbers does not affect their sum.
In this case, we can group the numbers inside the parentheses differently:
(3 1/2 + 4 1/2) + 2
Finally, Lance can combine the numbers inside each grouping to simplify the expression:
(7) + 2
Therefore, Lance can rewrite the expression using both the Associative and Commutative Properties of Addition as:
7 + 2 or 9