Worksheet: Properties of Multiplication

In this worksheet, we will practice using the four properties of multiplication (commutative, associative, identity, and distributive) to solve problems with numbers up to 100.

Q1:

What do you get when you multiply a number by 0?

Q2:

Complete: 1,000×7=×1,000.

Q3:

Complete: 100×6=×100.

Q4:

Identify the property demonstrated in the following equation: 60×1=60.

  • Adistributive property
  • Bcommutative property of multiplication
  • Cidentity property of multiplication
  • Dassociative property of multiplication

Q5:

Complete the following: 9×5=5×.

Q6:

If 𝑎÷𝑏=𝑎 and 𝑎0 , what is the value of 𝑏?

Q7:

Does the associative property apply to division?

  • Ano
  • Byes

Q8:

The associative property tells us we can multiply three numbers in any order, and the commutative property tells us we can swap factors.

Write the missing expression: 3×7×3=7×(×).

  • A7×3
  • B7×7
  • C3×7
  • D3×3

Find the answer: 3×7×3=.

Q9:

9×=×9=0.

  • A0, 0
  • B1, 9
  • C0, 9
  • D1, 1

Q10:

Rectangle C is made of 2 copies of Rectangle A. So, its area is 2 times as much as the area of Rectangle A.

Pick another expression that is equal to the area of Rectangle C.

  • A3×(3×5)
  • B2×(2×5)
  • C(2×3)+(3×5)
  • D2×(3×5)

Rectangle D is made from 5 copies of Rectangle B.

Rectangle C has the same area as Rectangle D. Finish the equation by finding the expression in the parentheses.

  • A3×3
  • B5×3
  • C2×3
  • D2×5

Q11:

Complete: 10×4×7=10×.

Q12:

Find the missing numbers.

4×1=.

1×16=.

27×=27

×1=95

Q13:

Find the missing numbers.

7×0=.

0×22=.

36×=0.

×19=0.

Q14:

Complete: 8×1×5=×5.

Q15:

State the property that describes the equation 2×(9×8)=(2×9)×8.

  • ADistributive property of multiplication
  • BIdentity property of multiplication
  • CAssociative property of addition
  • DAssociative property of multiplication
  • ECommutative property of multiplication

Q16:

Which of the following is an example of the associative property of multiplication?

  • A2×8=8×2
  • B2×(8×5)=(2×8)×5
  • C2×1=2
  • D2+0=2
  • E2×(8+5)=(2×8)+(2×5)

Q17:

Evaluate 25×843×4 using the commutative and the associative properties.

Q18:

Use real number properties to evaluate 75(98) mentally.

Q19:

Evaluate 87×2+87×98 using the distributive property.

Q20:

Daniel wants to know the answer to 12×14.

His friends tell him other multiples of 14.

Explain how he can use his friends’ answers to figure out 12×14.

  • AHe can divide 112 by 56.
  • BHe can add 56 and 112.
  • CHe can subtract 56 from 112.
  • DHe can multiply 56 by 112.

What is 12×14?

Q21:

Given that 15×5=75 and 15×30=450, find 15×53.

Hint: Try finding 15×50 and 15×3 first.

Q22:

Olivia wants to know the answer to 12×13.

Her friends tell her other multiples of 13.

Explain how she can use her friends’ answers to figure out 12×13.

  • AShe can multiply 91 by 65 because 12=7+5.
  • BShe can add 91 to 65 because 12=7×5.
  • CShe can add 91 to 65 because 12=7+5.
  • DShe can multiply 91 by 65 because 12=7×5.

What is 12×13?

Q23:

Use Noah’s fact to find the missing numbers.

16×6=84+

16×6=

Q24:

Given that 73×20=1,460, find 73×22.

Q25:

Complete: (9×10)+(×10)=120.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.