3rd Grade Multiplication and Division Properties - Worksheet & Printable

Use the Distributive Property to rewrite the following expression:

9 x 22

A

(9 x 20) + (2 x 2)

B

(9 x 20) + (9 x 2)

C

(9 x 20) + 2

D

2 x (20 + 9)

Standard: 3.OA.B.5

Domain: Operations & Algebraic Thinking

Theme: Understand properties of multiplication and the relationship between multiplication and division

Description: Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15 then 15 × 2 = 30, or by 5 × 2 = 10 then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.) (Students need not use formal terms for these properties.)

Use the Distributive Property to rewrite the following expression:

25 x 9

A

(20 x 5) + (9 x 5)

B

(20 x 9) + (5 x 9)

C

(9 x 20) + (5 x 20)

D

9 x 20 x 5

Standard: 3.OA.B.5

Domain: Operations & Algebraic Thinking

Theme: Understand properties of multiplication and the relationship between multiplication and division

Description: Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15 then 15 × 2 = 30, or by 5 × 2 = 10 then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.) (Students need not use formal terms for these properties.)

Use the Distributive Property to rewrite the following expression:

8 x 19

A

(8 x 10) + (9 x 10)

B

(8 x 20) - (19 x 8)

C

(8 x 20) - (8 x 1)

D

(19 x 8) x 1

Standard: 3.OA.B.5

Domain: Operations & Algebraic Thinking

Theme: Understand properties of multiplication and the relationship between multiplication and division

Description: Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15 then 15 × 2 = 30, or by 5 × 2 = 10 then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.) (Students need not use formal terms for these properties.)

Find the product.

8 x 2 x 5

A

42

B

60

C

80

D

100

Standard: 3.OA.B.5

Domain: Operations & Algebraic Thinking

Theme: Understand properties of multiplication and the relationship between multiplication and division

Description: Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15 then 15 × 2 = 30, or by 5 × 2 = 10 then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.) (Students need not use formal terms for these properties.)

Which equation below models the Commutative Property of Multiplication?

A

(12 x 5) x 3 = 12 x (5 x 3)

B

12 x 7 = 7 x 12

C

12 x 4 = 48

D

12 x 2 = (10 x 2) + (2 x 2)

Standard: 3.OA.B.5

Domain: Operations & Algebraic Thinking

Theme: Understand properties of multiplication and the relationship between multiplication and division

Description: Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15 then 15 × 2 = 30, or by 5 × 2 = 10 then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.) (Students need not use formal terms for these properties.)


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