Factoring with the Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication across each addend.

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CCSS.6.EE.A.3

Front

Factor using the Distributive Property: 49 + 84

Back

7(7 + 12)

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CCSS.6.NS.B.4

Front

Factor using the Distributive Property: 99 + 36

Back

9(11 + 4)

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CCSS.6.NS.B.4

Front

What property are we using in the problem: 55 + 22 = (11x5) + (11x2)?

Back

Distributive Property

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CCSS.6.NS.B.4

Front

Factor using the Distributive Property: 45 + 18

Back

9(5 + 2)

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CCSS.6.NS.B.4

Front

Factor using the Distributive Property: 55 + 22 + 11

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11(5 + 2 + 1)

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CCSS.6.NS.B.4

Front

What is an example of using the Distributive Property?

Back

For example, to simplify 3(4 + 5), you can distribute: 3*4 + 3*5 = 12 + 15 = 27.

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CCSS.6.EE.A.3

Front

How do you identify common factors in an expression?

Back

Look for the largest number that divides all terms in the expression. For example, in 12 + 8, the common factor is 4.

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CCSS.7.EE.A.1

Front

What is a factor?

Back

A factor is a number that divides another number without leaving a remainder. For example, 2 and 3 are factors of 6.

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CCSS.4.OA.B.4

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors. For example, factoring 12 gives you 3 x 4.