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why do you multiply before you can do addition?

 Dec 5, 2015
 #1
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Consider this example:

Many persons attended a conference. Doughnuts were served.

You were cleaning up aferwards and there were 5 doughnuts left on a plate and 3 unopened boxes of doughnuts, 12 to a box.

How many doughnuts were left?

3 boxes and 5 more:  3 boxes + 5:  3(12) + 5  =  36 + 5  =  41 doughnuts.

The multiplication tells you how many were in the boxes (there were 36 doughnuts in the 3 boxes); you shouldn't add the 5 to the number in each box, because there weren't 17 in each box!

The multiplication tells you how many individual elements there were in all the sets; the addition tells you how many individual items were left over.

So, if you have a problem like:  7 + 5(10),  you have 7 individual items and 5 sets of 10 items  -- there are 5 x 10  or 50 items in the sets plus the original 7, for 50 + 7  =  57.

 Dec 5, 2015

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