Notes from 9/16

Since a few of you were absent for a school-related field trip, I am going to go ahead and post the notes from yesterday (9/16)

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The Commutative and Associative Properties (1.7)

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The commutative property of addition states: in a sum, you can add terms in any order.

a + b = b + a
6 + 7 = 7 + 6

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The commutative property of multiplication states: in a product, you can multiply factors in any orer.

ab = ba
6 x 7 = 7 x 6

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The associative property of addition states: changing the grouping of terms will not change the sum.

(a + b) + c = a + (b + c)
(9 + 5) + 6 = 9 + (5 + 6)

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The associative property of multiplication states: changing the grouping of factors will not change the product.

(ab)c = a(bc)
(5 x 7) x 6 = 5 x (7 x 6)

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Things to remember:
- an equation can show both the associative and commutative properties
- when the numbers SWITCH THEIR ORDER, the commutative property is usually at work
- when the numbers INSIDE THE PARANTHESES CHANGE, the associative property is usually at work
- these properties only work for ADDITION and MULTIPLICATION, and only when these are the only operations being used

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Any questions can be emailed to me at adam.yassaman@lausd.net

Good luck!