Distributive property of multiplication over addition worksheets

The resources above cover the following skills:

Number and Operations (NCTM)

Understand meanings of operations and how they relate to one another.

Use the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition to simplify computations with integers, fractions, and decimals.

Connections to the Grade 6 Focal Points (NCTM)

Algebra: Students use the commutative, associative, and distributive properties to show that two expressions are equivalent. They also illustrate properties of operations by showing that two expressions are equivalent in a given context (e.g., determining the area in two different ways for a rectangle whose dimensions are x + 3 by 5). Sequences, including those that arise in the context of finding possible rules for patterns of figures or stacks of objects, provide opportunities for students to develop formulas.

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Distributive Property of Multiplication Over Addition: Worksheets, Online Test and Calculators

Distributive property of multiplication over addition worksheets, solved worksheet problems or exercises with step-by-step work, formative assessment as online test, calculator and more learning resources to learn, practice, assess and master the basic math skills of algebra.

  • Math Worksheet
  • Solved Worksheet Problems

Find the product for 5 x 20 using distributive property of multiplication over addition

Find the product for 13 x 4 using distributive property of multiplication over addition

Find the product for 5 x 6 using distributive property of multiplication over addition

Find the product for 7 x 5 using distributive property of multiplication over addition

Find the product for 13 x 5 using distributive property of multiplication over addition

Find the product for 18 x 4 using distributive property of multiplication over addition

Find the product for 6 x 12 using distributive property of multiplication over addition

Find the product for 13 x 7 using distributive property of multiplication over addition

Find the product for 5 x 15 using distributive property of multiplication over addition

Find the product for 11 x 6 using distributive property of multiplication over addition

Find the product for 5 x 20 using distributive property of multiplication over addition

5 x 20 = 5 x (16 + 4)
= (5 x 16) + (5 x 4)
= 80 + 20
= 100

Find the product for 13 x 4 using distributive property of multiplication over addition

13 x 4 = 13 x (2 + 2)
= (13 x 2) + (13 x 2)
= 26 + 26
= 52

Find the product for 5 x 6 using distributive property of multiplication over addition

5 x 6 = 5 x (3 + 3)
= (5 x 3) + (5 x 3)
= 15 + 15
= 30

Find the product for 7 x 5 using distributive property of multiplication over addition

7 x 5 = 7 x (3 + 2)
= (7 x 3) + (7 x 2)
= 21 + 14
= 35

Find the product for 13 x 5 using distributive property of multiplication over addition

13 x 5 = 13 x (3 + 2)
= (13 x 3) + (13 x 2)
= 39 + 26
= 65

Find the product for 18 x 4 using distributive property of multiplication over addition

18 x 4 = 18 x (2 + 2)
= (18 x 2) + (18 x 2)
= 36 + 36
= 72

Find the product for 6 x 12 using distributive property of multiplication over addition

6 x 12 = 6 x (9 + 3)
= (6 x 9) + (6 x 3)
= 54 + 18
= 72

Find the product for 13 x 7 using distributive property of multiplication over addition

13 x 7 = 13 x (4 + 3)
= (13 x 4) + (13 x 3)
= 52 + 39
= 91

Find the product for 5 x 15 using distributive property of multiplication over addition

5 x 15 = 5 x (13 + 2)
= (5 x 13) + (5 x 2)
= 65 + 10
= 75

Find the product for 11 x 6 using distributive property of multiplication over addition

11 x 6 = 11 x (4 + 2)
= (11 x 4) + (11 x 2)
= 44 + 22
= 66

Multiplication in parts worksheets

Students explicitly rewrite and answer multiplication equations using the distributive property.  Multiplicands up to 30.

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What is the distributive property of multiplication over addition?

The distributive property of multiplication over addition is used when we multiply a value by the sum of two or more numbers. For example, let us solve the expression: 5(5 + 9). This expression can be solved by multiplying 5 by both the addends. So, 5(5) + 5(9) = 25 + 45 = 70.

What is an example of distributive property of addition?

Distributive Property of Addition Multiplying three by the sum of 10 + 8 is a good example. 3 x (10 + 8) is the mathematical expression for this. Example: The distributive principle of addition may solve the formula 3 x (10 + 8).

What is the distributive property of multiplication over addition and subtraction?

When you are multiplying a number by a sum, you can add and then multiply. You can also multiply each addend first and then add the products. This can be done with subtraction as well, multiplying each number in the difference before subtracting.

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