Worksheet: Associative Property of Multiplication

In this worksheet, we will practice identifying and applying the associative property of multiplication to multiply three one-digit numbers with products up to 10×10.

Q1:

To draw a model to show (7×4)×2, Olivia draws an array to show 7×4 and uses the third number to tell her how many copies to make.

How can she draw a model to show 7×(4×2)?

  • A
  • B
  • C
  • D

Is there the same number of squares in each model?

  • Ano
  • Byes

Which equation do the models prove?

  • A(7×4)×2=7+(4×2)
  • B(7×4)×2=7+(4+2)
  • C(7×4)×2=7×(4×2)
  • D(7×4)×2=7×(4+2)

Q2:

Compare the expressions. Pick the symbol that is missing.

  • A>
  • B=
  • C<

Q3:

Scarlett drew 5 arrays with 2 rows and 3 columns.

Use her picture to find the missing number. 5×6=5××3.

Find another expression that is equal to 5×6.

  • A10×3
  • B11×1
  • C4×8
  • D4×7

Q4:

When we multiply three numbers, we can choose which calculation to do first.

Do the highlighted calculations to find the missing numbers.

What is 6×5×2?

Q5:

Given that 𝑥×(8×17)=(9×(8))×17, find the value of 𝑥.

Q6:

Find a three-digit number whose digits have a product of 7.

  • A107
  • B127
  • C217
  • D117

Q7:

Fill in the blank with the missing factor: 2×(×3)=18.

Q8:

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

Q9:

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)

Q10:

Complete: 2×(4×8)=(×)×8.

  • A1, 2
  • B2, 8
  • C2, 4
  • D4, 8
  • E1, 4

Complete: 2×(4×8)=×8.

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