Let's match the equations with their corresponding properties:
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a • 1 = a
- This matches the Identity Property of Multiplication, as it shows that multiplying any number by 1 results in that number itself.
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5 • 1 = 5
- This also matches the Identity Property of Multiplication for the same reason as above.
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9y ÷ 9 = 81 ÷ 9
- This matches the Division Property of Equality, as it illustrates that dividing both sides of an equation (in this case involving variables and constants) by the same non-zero number yields equality.
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5n ÷ 5 = 40 ÷ 5
- This also matches the Division Property of Equality, as it reflects the same principle of dividing both sides by the same non-zero number.
So the matches are:
- Identity Property of Multiplication: a • 1 = a, 5 • 1 = 5
- Division Property of Equality: 9y ÷ 9 = 81 ÷ 9, 5n ÷ 5 = 40 ÷ 5