3rd grade multiplication property reasoning worksheets

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Multiplication property reasoning worksheets for 3rd grade print 5 problems per page. Select the statement that correctly uses or explains the property. Changing the order of two factors does not change their product.

Free printable PDF worksheet, aligned to Common Core 3.OA.B.5.

Each print is a different sheet with its own answer key. You don't need to sign up.

The kind of problems you'll get

Select the statement that correctly uses or explains the property.

  1. Consider the product 5 × 8. Which equation shows the commutative property by reversing these two different factors?

    Answer: 5 × 8 = 8 × 5

  2. Consider the factors 4, 2, and 6. Which equation shows the associative property by changing only the grouping?

    Answer: (4 × 2) × 6 = 4 × (2 × 6)

  3. In 4 × 9, split 9 into 5 + 4. Which equation uses the distributive property with this exact split?

    Answer: 4 × (5 + 4) = (4 × 5) + (4 × 4)

Every print pulls a fresh set of problems at this level, so a make-up test or a second sibling never gets the same sheet.

What's on each sheet

Every version prints on US Letter or A4, with its answer key after the problems.

This sheet is one of the versions on the 3rd grade properties of multiplication page, with its own difficulty choices and its own answer key.

How to teach this

Skip the property names at first. Kids need the moves, not the vocabulary. Ask "which fact in here do you already know?" so splitting 6 × 7 into 6 × 5 + 6 × 2 feels like a shortcut, not a rule. Arrays help: cut a 6-by-7 grid of dots into a 6-by-5 piece and a 6-by-2 piece, then count each part.

Watch for: Kids think switching the order changes the answer. 8 × 4 and 4 × 8 both make 32, so start from whichever fact you know best. Kids multiply only one piece of a split, writing 6 × 7 = 6 × 5 + 2. Both parts get multiplied, so it's 6 × 5 + 6 × 2.

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Aligned to Common Core 3.OA.B.5. Reviewed by the One more sheet team. Content version 241, updated October 2026.

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