Associative Property of Multiplication | MathHelp.com - Free Educational videos for Students in K-12 | Lumos Learning

Associative Property of Multiplication | MathHelp.com - Free Educational videos for Students in k-12


Associative Property of Multiplication | MathHelp.com - By MathHelp.com



Transcript
00:0-1 the problem . Two times parentheses , three times four
00:04 equals parentheses . Two times three times four demonstrates the
00:09 associative property of multiplication . Notice that the factors are
00:14 the same on both sides of the problem . Two
00:17 times three times 4 . However , on the left
00:21 we group the three times four , and on the
00:23 right we group the two times three . The associative
00:27 property of multiplication states that when we multiply more than
00:31 two numbers , the grouping of the factors does not
00:35 change the product . So let's take a look at
00:37 how this problem demonstrates the associative property of multiplication On
00:42 the left side of the problem , the order of
00:45 operations tells us that we must simplify inside the parentheses
00:49 first , so three times four is 12 And two
00:54 times 12 is 24 . And on the right side
00:58 of the problem , we must also simplify inside the
01:01 parentheses first , so two times three is six and
01:05 six times four is 24 So we have 24 equals
01:11 24 . Notice that the product is the same on
01:14 both sides of the problem , even though we grouped
01:17 the factors differently in general terms , the associative property
01:22 of multiplication can be written as A times parentheses ,
01:28 B , times C equals parentheses A times B ,
01:37 times C , where A B and C are variables
01:43 that represent any number .
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