3rd Grade Properties of Multiplication Quiz: 10 Questions with Explanations

A \(7 \times 7 = 49\)B \(7 \times 3 = 21\)C \(7 + 3 = 10\)D \(3 \times 3 = 9\)

Turned on its side, the array has 7 rows of 3 dots, which is 21. Adding the factors instead of multiplying is a common mistake.

A \(n = 36\)B \(n = 9\)C \(n = 4\)D \(n = 5\)

Swapping the factors keeps the product, so the missing factor is 9. Choosing 36 mixes up a factor with the product.

A Commutative propertyB Distributive propertyC Zero propertyD Associative property

The factors keep their order, but the parentheses move. That is regrouping, so it is the associative property.

A \(4 \times 8 = 4 \times 5 + 3\)B \(4 \times 8 = 4 \times 5 + 8 \times 3\)C \(4 \times 8 = 5 \times 3 + 4\)D \(4 \times 8 = 4 \times 5 + 4 \times 3\)

Both parts have 4 rows, so each part is multiplied by 4. Forgetting to multiply the second part is a common mistake.

A \(n = 2\)B \(n = 4\)C \(n = 6\)D \(n = 3\)

Six is split into 4 and 2, so n is 2. Choosing 6 just copies a factor from the problem.

A \(14\)B \(35\)C \(70\)D \(17\)

First, 2 × 5 = 10. Then 10 × 7 = 70. Adding the numbers gives 14, which is wrong.

A \((3 + 2) \times 6\)B \(3 \times 2 + 6\)C \((3 \times 2) \times 6\)D \((3 \times 2) + (3 \times 6)\)

Both expressions multiply the same three factors and equal 36. The other choices add somewhere, which changes the value.

A 42B 36C 32D 47

30 + 12 = 42. Adding 30 + 2 = 32 forgets to multiply the 2 by 6.

A 48 photosB 41 photosC 44 photosD 14 photos

6 = 5 + 1, so 8 × 6 = 40 + 8 = 48. Adding 40 + 1 forgets to multiply the 1 by 8.

A \(7 \times 3 = 3 \times 4\)B \(2 \times 9 = 9 \times 2\)C \(4 + 6 = 6 \times 4\)D \(5 \times 8 = 8 \times 8\)

Only the first sentence has the same two factors on both sides. The other three have different products on each side.