Distributive multiplication

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Multiplication Using the Distributive Property

Transcript of Distributive multiplication

Page 1: Distributive multiplication

MultiplicationUsing the Distributive Property

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What’s the Distributive Property?

• When using the distributive property, you break down large complex numbers into numbers that are easier to work with.

• You often use expanded form.

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What’s the Distributive Property?

Here’s an example:

62 x 3

Let’s use the distributive property to find the product.

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62 x 3

1. Write the multi-digit number in expanded form.

Another way of writing 62 is: 60 + 2

60 + 2

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62 x 3 = ( x ) + ( x )

Since 62 is a two digit number, we need two sets of parentheses.

60 2 +

2. Set up your parentheses.

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62 x 3 = ( x ) + ( x )

3. Multiply each part of the expanded number by the one-digit factor.

Multiply 60 by 3, and 2 by 3.

60 2

+

3 3

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62 x 3 = ( x 3) + ( x 3) = +

4. Find the product to each multiplication problem.

60 x 3 = 180 2 x 3 = 6

60 2 180 6

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62 x 3 = ( x 3) + ( x 3) = 180 + 6 = 186

5. Add the products together.

180 + 6 = 186

60 2

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62 x 3 = ( x 3) + ( x 3) = 180 + 6 = 186

6. Check your work using the traditional method of multiplication.

62x 3

60 2 √

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That wasn’t so bad! Let’s try another...

87 x 5

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87 x 5

1. Write the multi-digit number in expanded form.

Another way of writing 87 is: 80 + 7

80 + 7

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87 x 5 = ( x ) + ( x )

Since 87 is a two digit number, we need two sets of parentheses.

80 7 +

2. Set up your parentheses.

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87 x 5 = ( x ) + ( x )

3. Multiply each part of the expanded number by the one-digit factor.

Multiply 80 by 5, and 7 by 5.

80 7 5 5

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87 x 5 = ( x 5) + ( x 5) = +

4. Find the product to each multiplication problem.

80 x 5 = 400 7 x 5 = 35

80 7 400 35

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87 x 5 = ( x 5) + ( x 5) = 400 + 35 = 435

5. Add the products together.

400 + 35 = 435

80 7

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87 x 5 = ( x 5) + ( x 5) = 400 + 35 = 43580 7

6. Check your work using the traditional method of multiplication.

87x 5

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Ready to try a few on your own?

I thought so. Try solving the problems on the worksheet,“Using the Distributive Property”