Properties
Published on Nov 21, 2015
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PRESENTATION OUTLINE
Inverse Property
There are 2 types of inverse property. Additive and Multiplicative. The end product is either 1 or 0.
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Examples
Additive:
3 mangos +-3 mangos =0
Multiplicative:
8 pineapples x1/8 of a pineapple =1
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Identity Property
The identity property states that any number +0 or x1 is itself. Two types: addition and multiplication.
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Examples
4 fish+0 fish=4
11slices of pizza x1slice of pizza=11slices of pizza
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Commutative Property
Definition: even if you reverse the order of the numbers, the answer is the same. Two types: addition and multiplication.
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Examples:
4 hot dogs+1hot dog=5 Hot dogs=1hot dog+4 hot dogs=5 hot dogs
4 bread loaves x5 bread loaves=20 loaves of bread=5 bread loaves x4 bread loaves=20 loaves of bread
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Associative Property
There are two types: addition and multiplication.
It states that you can add 2 or more numbers together and change the groupings while still getting the same sum or product.
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Examples
(3 popcorn kernels+6 popcorn kernels)+8 popcorn kernels=17=(8 popcorn kernels+3 popcorn kernels)+6 popcorn kernels=17
(2 mints x3 mints)x4 mints=24= (4 mints x3 mints)x2 mints=24
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Distributive Property
One type: Multiplication. You can multiply a sum by multiplying each number separately.
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Examples
4 cookies x(50 cookies+3 cookies)=212 (4 cookies x50 cookies)+(4 cookies x3 cookies)=212
4 tacos x(10 tacos+1 tacos)=44(4 tacos x10 tacos)+(4 tacos x1taco)=44
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