Distributive Property
Practice
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Let's use the Distributive Property of multiplication over addition to multiply Mixed Numbers. 

First, let's see if you remember the steps involved.

 

To use the Distributive Property with 2⅜, you would "break" it into what?

 

 

Which of the following are not Mixed Numbers?
               3⅞,  ⅜, 1½, 88⅛, ¼

   
When using the Distributive Property, which two operations are used?

    add, subtract, multiply, divide

 

Now let's try some.   Let's go step by step!

Here's the problem:

 3½ x 18

Step one: Identify the mixed number and express it as a whole number and proper fraction

Step two: Distribute the 18 to both parts of the mixed number.  (3 + ½) x 18 = (3 x 18) + (½ x 18)
Step three: Find the products within the parentheses. (3 x 18) + (½ x 18)= 54 + 9
Step four: Add 54 + 9 = 63

Now let's see if you are ready to try some on your own.  Solve each problem on another page of paper, and then check your answer.  If you get the answer wrong and need an explanation, click on 

 

10 x 2⅛=

3 2/5
21¼
25¼
3 ⅜

5 4/5 x  8 =

40 ½
41¼
1 ⅜
46 2/5

4¾ x 6 = 

28 ½
27 ⅞
33 3/7
30¼

21⅞ x 5=

126½
104 35/8
44 ¼
109 ⅜

2 x 3⅝ =

11 ½

39 ⅞
4 7/10

3 x 2⅛ =

6 ⅜
2 ¼

5 ⅞

 
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