Ashley L.

asked • 01/03/17

What is the distributive property of 8 x 17?

In 4th grade there is a lesson about distributive property, so there is a problem I do not understand. I have searched on google, and also other internet websites. I have not found any answers to my question and then came here. I am hoping for an answer that is understandable and correct.

Arturo O.

There is more than one way to write the distributive property in this problem, assuming you want to multiply 8 by a sum that equals 17.  Here are some examples:
 
8 x (10 + 7) = 8x10 + 8x7 = 80 + 56 = 136
8 x (12 + 5) = 8x12 + 8x5 = 96 + 40 = 136
8 x (13 + 4) = 8x13 + 8x4 = 104 + 32 = 136
 
etc.
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01/03/17

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David W. answered • 01/03/17

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Remember simple multiplication?  Write the problem with 17 at the bottom:
 
       8
 *  1 7
----------
     5 6        <-- this is 8*7
     8 0        <-- this is 8*10   [we sometimes just shift and don't write the 0]
 -------
   1 3 6
 
So, 8*17 is the same as 8*10 + 8*7.
 
 
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