Jake wants to buy a basketball, a football, and a baseball bat.
Sports Equipment
Item Cost
basketball $19
baseball bat $52
football $39
Part A
Which pair shows how Jake can add the prices using the Associative Property of Addition?
(1 point)
Responses
(19+52)+39 and (52+19)+39
19 + 52 + 39 and 52 + 19 + 39
(19+52)+39 and 39+(19+52)
19 + 52 + 39 and 39 + 19 + 52
19+52+39 and 52+19+39
19 + 52 + 39 and 52 + 19 + 39
(19+52)+39 and 19+(52+39)
19 + 52 + 39 and 19 + 52 + 39
The correct pair that shows how Jake can add the prices using the Associative Property of Addition is:
(19+52)+39 and (52+19)+39
why? please explain
The Associative Property of Addition states that you can regroup the numbers being added without changing the sum. In this case, Jake wants to add the prices of the basketball, baseball bat, and football.
Let's break it down step by step:
Option 1: (19+52)+39 and (52+19)+39
- In the first pair, we add the basketball and baseball bat first, then add the football.
- In the second pair, we add the baseball bat and football first, then add the basketball.
- Both pairs give the same result because we are just rearranging the order in which we add the numbers. The total cost in both pairs will be the same.
Therefore, both options 1 and 2 represent how Jake can add the prices using the Associative Property of Addition.
Jake wants to buy a basketball, a football, and a baseball bat.
Sports Equipment
Item Cost
basketball $19
baseball bat $52
football $39
Part A
Which pair shows how Jake can add the prices using the Associative Property of Addition?
(1 point)
Responses
(19+52)+39 and (52+19)+39
19 + 52 + 39 and 52 + 19 + 39
(19+52)+39 and 39+(19+52)
19 + 52 + 39 and 39 + 19 + 52
19+52+39 and 52+19+39
19 + 52 + 39 and 52 + 19 + 39
(19+52)+39 and 19+(52+39)
19 + 52 + 39 and 19 + 52 + 39
I apologize for the confusion in my previous response. I made a mistake in stating that both options 1 and 2 would represent how Jake can add the prices using the Associative Property of Addition. That was incorrect.
The correct pair that represents how Jake can add the prices using the Associative Property of Addition is:
(19+52)+39 and 19+(52+39)
The Associative Property of Addition allows us to change the grouping of numbers being added without changing the sum. In this case, by applying the associative property, we can group the prices differently in the addition.
(19+52)+39 represents grouping the basketball and baseball bat first, and then adding the football.
19+(52+39) represents grouping the baseball bat and football first, and then adding the basketball.
Both expressions will yield the same result, which is the total cost of all three items.
The pair that shows how Jake can add the prices using the Associative Property of Addition is:
(19+52)+39 and 19+(52+39)
To determine which pair of addition expressions shows how Jake can add the prices using the Associative Property of Addition, we need to understand what the Associative Property of Addition is.
The Associative Property of Addition states that when adding three or more numbers, the grouping of the numbers does not affect the sum. In other words, you can add the numbers in any order and still get the same result.
Let's analyze each pair of expressions:
Pair 1: (19+52)+39 and (52+19)+39
In this pair, both expressions have the same numbers being added, but the grouping is different. According to the Associative Property of Addition, the grouping doesn't matter, so both expressions should give the same sum.
Pair 2: (19+52)+39 and 39+(19+52)
In this pair, the order of grouping is different. However, the same numbers are being added. Again, according to the Associative Property of Addition, the grouping doesn't affect the sum, so both expressions should yield the same result.
Pair 3: 19+52+39 and 52+19+39
In this pair, there is no grouping. The expressions simply add the numbers in a specific order. While the Associative Property of Addition doesn't come into play in this case, the expressions are still valid addition expressions.
Pair 4: (19+52)+39 and 19+(52+39)
In this pair, the grouping is different. However, the same numbers are being added. According to the Associative Property of Addition, the grouping doesn't impact the sum, so both expressions should produce the same result.
Based on the explanations above, the correct pair that shows how Jake can add the prices using the Associative Property of Addition is:
(19+52)+39 and (52+19)+39
Regardless of the grouping of the numbers, both expressions will yield the same sum.