Question

Match the equation with its property.
a • 1=a
5•1=5
9y÷9=81÷9
5n÷5=40÷5
Answers:
Division Property of Equality
Identity Property of Multiplication

Answer 1

Let's match the equations with their corresponding properties:

1. **a • 1 = a**
- This matches the **Identity Property of Multiplication**, as it shows that multiplying any number by 1 results in that number itself.

2. **5 • 1 = 5**
- This also matches the **Identity Property of Multiplication** for the same reason as above.

3. **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.

4. **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