Distributive property
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Distributive Property.

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The Distributive Property-When two addends are multiplied by a factor, the product is the same as if each addend was by the factor and those products were addedExample: a x (b+c) = (a x b) + (a x c) or 4 x 13 = 4 x (10 + 3) = (4 x 10) + (4 x 3)


This is how we distribute
This is how we distribute

  • 5 x (20 + 3)

  • 5 x 20 = 5 x 3 =

  • 100 + 15 = 115

  • Try the four on your notes



Break apart the double-digit number. be used when multiplying.

43 x 5 =?

40 3

+


Then multiply each part by 5. be used when multiplying.

43 x 5 =?

40 3

+

x 5x 5


Then multiply each part by 5. be used when multiplying.

43 x 5 =?

40 3

+

x 5x 5

200 15


Finally, sum your two products be used when multiplying.

43 x 5 =215

40 3

+

x 5x 5

200 15

+

= 215


Let s look at another example
Let’s look at another example. be used when multiplying.

53 x 6 = ?


Break apart the double-digit number. be used when multiplying.

53 x 6 = ?


Break apart the double-digit number. be used when multiplying.

53 x 6 = ?

50 3

+


Multiply each part by 6. be used when multiplying.

53 x 6 = ?

50 3

+

x 6x 6


Multiply each part by 6. be used when multiplying.

53 x 6 = ?

50 3

+

x 6x 6

300 18


Sum the two products. be used when multiplying.

53 x 6 = 318

50 3

+

x 6x 6

300 + 18 = 318


There are three steps to the distributive property
There are three steps to the distributive property. be used when multiplying.

4 x 28 =


There are three steps to the distributive property. be used when multiplying.

4 x 28 =

1) Break apart the double-digit number.


There are three steps to the distributive property. be used when multiplying.

4 x 28 = 4 x (20 + 8)

1) Break apart the double-digit number.


There are three steps to the distributive property. be used when multiplying.

4 x 28 = 4 x (20 + 8)

  • Break apart the double-digit number.

  • Multiply each part by 4. (distribute the 4)


There are three steps to the distributive property. be used when multiplying.

4 x 28 = 4 x (20 + 8) = (4 x 20) + (4 x 8)

  • Break apart the double-digit number.

  • Multiply each part by 4. (distribute the 4)


There are three steps to the distributive property. be used when multiplying.

4 x 28 = 4 x (20 + 8) = (4 x 20) + (4 x 8)

  • Break apart the double-digit number.

  • Multiply each part by 4. (distribute the 4)

  • Sum the two products.


There are three steps to the distributive property. be used when multiplying.

4 x 28 = 4 x (20 + 8) = 80 + (4 x 8)

  • Break apart the double-digit number.

  • Multiply each part by 4. (distribute the 4)

  • Sum the two products.


There are three steps to the distributive property. be used when multiplying.

4 x 28 = 4 x (20 + 8) = 80 + 32

  • Break apart the double-digit number.

  • Multiply each part by 4. (distribute the 4)

  • Sum the two products.


There are three steps to the distributive property. be used when multiplying.

4 x 28 = 4 x (20 + 8) = 80 + 32 = 112

  • Break apart the double-digit number.

  • Multiply each part by 4. (distribute the 4)

  • Sum the two products.


In this example the 5 was distributed
In this example, the 5 was distributed. be used when multiplying.

5 x 38 = 5 x (30 + 8) = (5 x 30) + (5 x 8)


In this example the 7 was distributed
In this example, the 7 was distributed. be used when multiplying.

7 x 46 = 7 x (40 + 6) = (7 x 40) + (7 x 6)


Practice time
Practice Time be used when multiplying.


1 which of the following expressions shows the distributive property for 5 x 3 7
1) Which of the following expressions shows the distributive property for 5 x (3 + 7)?

(5 + 3) x (5 + 7)

(5 x 3) x (5 x 7)

(5 x 3) + (5 x 7)


1) Which of the following expressions shows the distributive property for 5 x (3 + 7)?

Correct!

(5 x 3) + (5 x 7)


2 which of the following expressions shows the distributive property for 3 x 9 4
2) Which of the following expressions shows the distributive property for 3 x (9 + 4) ?

(3 x 9) + (3 x 4)

(3 + 9) + (3 + 4)

(3 + 9) x (3 + 4)


2) Which of the following expressions shows the distributive property for 3 x (9 + 4) ?

(3 x 9) + (3 x 4)

Correct!


5) Which of the following expressions is equivalent to: property for 3 x (9 + 4) ?(5 x 9) + (5 x 3) ?

3 x (9 + 5)

5 x (9 + 3)

9 x (3 + 5)


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