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Match each equivalent expression with the property that it represents.

1. Identity Property of Multiplication
2. Identity Property of Addition
3. Associative Property of Multiplication
4. Associative Property of Addition
5. Commutative Property of Addition

A. [tex]3+5=5+3[/tex]
B. [tex][3(5)](4)=(3)[5(4)][/tex]
C. [tex](3+5)+0=(3+5)[/tex]
D. [tex]3+(5+7)=(3+5)+7[/tex]
E. [tex]5(1)=5[/tex]

Sagot :

GinnyAnsweridn
Sure, let's match each mathematical expression with the corresponding property it represents.

1. Commutative Property of Addition:
- Given expression: [tex]\(3+5=5+3\)[/tex]
- Explanation: The Commutative Property of Addition states that changing the order of the numbers we are adding does not change the sum.
- Match: [tex]\(3+5=5+3\)[/tex]

2. Associative Property of Multiplication:
- Given expression: [tex]\([3(5)](4)=(3)[5(4)]\)[/tex]
- Explanation: The Associative Property of Multiplication states that the way in which numbers are grouped when multiplying does not change the product.
- Match: [tex]\([3(5)](4)=(3)[5(4)]\)[/tex]

3. Identity Property of Addition:
- Given expression: [tex]\((3+5)+0=(3+5)\)[/tex]
- Explanation: The Identity Property of Addition states that the sum of any number and zero is the number itself.
- Match: [tex]\((3+5)+0=(3+5)\)[/tex]

4. Associative Property of Addition:
- Given expression: [tex]\(3+(5+7)=(3+5)+7\)[/tex]
- Explanation: The Associative Property of Addition states that the way in which numbers are grouped when adding does not change the sum.
- Match: [tex]\(3+(5+7)=(3+5)+7\)[/tex]

5. Identity Property of Multiplication:
- Given expression: [tex]\(5(1)=5\)[/tex]
- Explanation: The Identity Property of Multiplication states that the product of any number and one is the number itself.
- Match: [tex]\(5(1)=5\)[/tex]

So, the matched properties and expressions are:
- [tex]\(3+5=5+3\)[/tex]: Commutative Property of Addition
- [tex]\([3(5)](4)=(3)[5(4)]\)[/tex]: Associative Property of Multiplication
- [tex]\((3+5)+0=(3+5)\)[/tex]: Identity Property of Addition
- [tex]\(3+(5+7)=(3+5)+7\)[/tex]: Associative Property of Addition
- [tex]\(5(1)=5\)[/tex]: Identity Property of Multiplication
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