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