Match the equation with its property.

Question

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