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Multiplication Properties Worksheets for 3rd Grade

Use the order and grouping properties of multiplication to find a missing number. 15 free printable worksheets, each with an answer key.

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Free Multiplication Properties Worksheets

Click a worksheet to open the PDF, or grab the matching answer key. Every sheet prints on one page.

Multiplication Properties: what children learn

The commutative property says that factors can be swapped, so 4 times 7 is the same as 7 times 4. The associative property says that the grouping of three factors can change without changing the product.

Multiplication Properties: worked example

4 × 7 = 7 × __ 4

The order of the factors can change. 4 × 7 = 28 and 7 × 4 = 28, so the missing number is 4.

Multiplication Properties: a common mistake to watch for

Kids sometimes copy the number next to the blank instead of finding the factor that is missing.

Multiplication Properties: how to help at home or in class

Build with counters or small blocks. Make a 4 by 7 array, then turn it a quarter turn to see that the same counters now make 7 by 4. For grouping, stack unit cubes into a 2 by 3 layer and make four layers, then change which two numbers get multiplied first. The total never changes. When your child explains why, splitting a larger factor into parts is the next idea.

What is on these Multiplication Properties worksheets

This set has 15 different worksheets for 3rd grade, with 8 questions on each and a matching answer key for every sheet. The instruction printed on each worksheet is: “Write the number that makes each number sentence true.”

Example questions like the ones on these worksheets, with their answers:

  • 10 × 4 = __ × 104
  • (4 × 7) × 3 = 4 × (7 × __)3
  • (3 × 2) × 9 = __ × (2 × 9)3
  • __ × 8 = 8 × 22
  • (4 × 3) × 4 = 4 × (__ × 4)3
  • 3 × (5 × 3) = (__ × 5) × 33
  • 9 × 8 = 8 × __9
  • 8 × 6 = 6 × __8

Every answer on every sheet is checked by a separate program before the worksheet is published. How we check answers

Related Order of Operations & Properties worksheets for 3rd grade

Order of Operations: Add and Subtract
Work a problem with several additions and subtractions from left to right.
Order of Operations: Multiply or Divide First
Multiply or divide before you add or subtract.
Order of Operations: All Four Operations
Use the order of operations with multiplication, division, addition, and subtraction.
Distributive Property
Break one factor into two parts to find a missing number.
All Order of Operations & Properties worksheets
See every order of operations & properties topic for 3rd grade