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
