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

1 answer

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