Worksheet: Properties of Multiplication in a Set of Rational Numbers

In this worksheet, we will practice identifying the properties of the multiplication operation in the set of rational numbers.

Q1:

Which property of multiplication is used in 4 9 × 9 4 = 1 ?

  • ACommutative property
  • BClosure property
  • CMultiplicative-identity property
  • DMultiplicative-inverse property
  • EAssociative property

Q2:

Evaluate 2 5 × 1 5 + 2 5 × 2 5 using the properties of multiplication.

Q3:

Evaluate 9 × 4 7 + 4 7 × 1 7 + 1 6 × 4 7 using the properties of multiplication.

Q4:

Complete the table below.

×
4 5 1 6
  • A 4 1 1
  • B 3 1 1
  • C 1 1 0
  • D 2 1 5

Q5:

If 𝑎 ÷ 𝑏 = 𝑎 and 𝑎 0 , what is the value of 𝑏 ?

Q6:

Find the missing term in the equation 1 3 × 2 9 = × 1 3 .

  • A 1 3
  • B 9 2
  • C 3
  • D 2 9

Q7:

What is the multiplicative neutral element in ?

Q8:

Evaluate 1 × 1 2 + 1 2 × 9 + 8 × 1 2 using the properties of multiplication.

Q9:

Evaluate 9 × 1 2 + 1 2 × 1 7 + 1 6 × 1 2 using the properties of multiplication.

Q10:

Which property of multiplication is used in 6 5 × 5 6 = 1 ?

  • ACommutative property
  • BClosure property
  • CMultiplicative-identity property
  • DMultiplicative-inverse property
  • EAssociative property

Q11:

Which property of multiplication is used in 8 1 7 × 1 7 8 = 1 ?

  • ACommutative property
  • BClosure property
  • CMultiplicative-identity property
  • DMultiplicative-inverse property
  • EAssociative property

Q12:

Which property of multiplication is used in 6 1 7 × 1 7 6 = 1 ?

  • ACommutative property
  • BClosure property
  • CMultiplicative-identity property
  • DMultiplicative-inverse property
  • EAssociative property

Q13:

Which property of multiplication is used in 3 8 × 8 3 = 1 ?

  • ACommutative property
  • BClosure property
  • CMultiplicative-identity property
  • DMultiplicative-inverse property
  • EAssociative property

Q14:

Which property of multiplication is used in 3 1 1 × 1 1 3 = 1 ?

  • ACommutative property
  • BClosure property
  • CMultiplicative-identity property
  • DMultiplicative-inverse property
  • EAssociative property

Q15:

Which property of multiplication is used in 3 2 × 2 3 = 1 ?

  • ACommutative property
  • BClosure property
  • CMultiplicative-identity property
  • DMultiplicative-inverse property
  • EAssociative property

Q16:

Which property of multiplication is used in 2 1 9 × 1 9 2 = 1 ?

  • ACommutative property
  • BClosure property
  • CMultiplicative-identity property
  • DMultiplicative-inverse property
  • EAssociative property

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