Reasoning What property of addition is shown in the following number sentence? Explain. 7 + (3 + 5) = (7 + 3) + 5
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what property of addition is shown in the following number sentence? explain.
7+(3+5)=(7+3)+5
7+8=15=10+5
The property of addition that is shown in the given number sentence is the Associative Property.
To understand why, let's first define the Associative Property of addition. The Associative Property states that the way in which numbers are grouped when added together does not affect the sum. In other words, when adding three or more numbers, you can regroup them without changing the total.
In the given number sentence, we have the expression 7 + (3 + 5) on the left side and (7 + 3) + 5 on the right side of the equation.
To apply the Associative Property, we can regroup the numbers on the left side:
7 + (3 + 5) = (7 + 3) + 5
By using the property, we can see that we are grouping the numbers in a different way, but the sum remains the same.
Therefore, the reasoning behind the property of addition shown in the number sentence is the Associative Property.