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Worksheet: Properties of Multiplication in a Set of Rational Numbers

Q1:

Evaluate using the properties of multiplication.

Q2:

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

Q3:

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

Q4:

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

Q5:

Complete the table below.

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

Q6:

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

Q7:

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

  • A 1 3
  • B 9 2
  • C 3
  • D 2 9

Q8:

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

  • Acommutative property
  • Bclosure property
  • Cmultiplicative-identity property
  • Dmultiplicative-inverse property
  • Eassociative property

Q9:

Which property of multiplication is used in 9 1 3 × 1 = 9 1 3 ?

  • Aassociative property
  • Bclosure property
  • Ccommutative property
  • Dmultiplicative-identity property
  • Emultiplicative-inverse property

Q10:

Which property of multiplication is used in 4 9 × 9 1 3 + 1 2 = 4 9 × 9 1 3 + 4 9 × 1 2 ?

  • Aassociative property
  • Bclosure property
  • Ccommutative property
  • Dmultiplication distributes over addition
  • Emultiplicative-identity property

Q11:

Which property of multiplication is used in 4 9 × 9 1 3 × 1 2 = 4 9 × 9 1 3 × 1 2 ?

  • Amultiplicative-inverse property
  • Bclosure property
  • Ccommutative property
  • Dassociative property
  • Emultiplicative-identity property

Q12:

Which property of multiplication is used in 7 6 × 2 1 7 = 2 1 7 × 7 6 ?

  • Aassociative property
  • Bclosure property
  • Cmultiplicative-identity property
  • Dcommutative property
  • Emultiplicative-inverse property

Q13:

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

  • Acommutative property
  • Bclosure property
  • Cmultiplicative-identity property
  • Dmultiplicative-inverse property
  • Eassociative property

Q14:

Which property of multiplication is used in 2 1 7 × 1 = 2 1 7 ?

  • Aassociative property
  • Bclosure property
  • Ccommutative property
  • Dmultiplicative-identity property
  • Emultiplicative-inverse property

Q15:

Which property of multiplication is used in 7 6 × 2 1 7 + 1 2 = 7 6 × 2 1 7 + 7 6 × 1 2 ?

  • Aassociative property
  • Bclosure property
  • Ccommutative property
  • Dmultiplication distributes over addition
  • Emultiplicative-identity property

Q16:

Which property of multiplication is used in 7 6 × 2 1 7 × 1 2 = 7 6 × 2 1 7 × 1 2 ?

  • Amultiplicative-inverse property
  • Bclosure property
  • Ccommutative property
  • Dassociative property
  • Emultiplicative-identity property

Q17:

What is the multiplicative neutral element in ?