Everyone knows the Associative Property of Multiplication, right? You know, the property that states that when multiplying three or more real numbers, the product is always the same regardless of their grouping.
LGS students recently learned this pre-algebra concept through hands-on activities using math cards and pipe cleaners.
For those who don’t have the benefit of our creative teaching staff, we’ll walk you through it:
What’s the answer to the following problem? 2 x 3 x 4 = ?
The answer? 2 x 3 x 4 = 24
Sometimes it’s helpful to group the numbers with parenthesis.
Using the above example, you can group the numbers like this: (2 x 3) x 4 = 6 x 4 = 24
You can also group the numbers a different way: 2 x (3 x 4) = 24
Either way you get the same answer. That’s the Associative Property of Multiplication!
Let’s try another example: 2 x 8 x 5 = ?
You can group the numbers like this: (2 x 8) x 5 = 16 x 5 = 80
Or you can group the number like this: 2 x (8 x 5) = 2 x 40 = 80
Either way, you get the same answer.
Here’s the property in letters: a x (b x c) = (a x b) x c
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