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| Properties of Multiplication Distributive |
If a, b, and c are real numbers,
then …
a(b + c) = a(b) + a(c) and
a(b – c) = a(b) – a(c)
3(2 + 5) = 3(2) + 3(5)
= 6 + 15 = 21
4(5 - 2) = 4(5) – 4(2)
= 20 – 8 = 12 |
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cloud Tue, 30 Dec 2008 20:46:59 GMT |
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| Properties of Multiplication Inverse |
Any number times its
reciprocal is 1.
3 (1/3) = 1
-2(-1/2) = 1 |
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cloud Tue, 30 Dec 2008 20:46:59 GMT |
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Properties of
Multiplication
Property of Zero |
Any number times 0 is 0. 23 x 0 = 0 |
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cloud Tue, 30 Dec 2008 20:45:33 GMT |
|
Properties of
Multiplication Identity |
Any number times one is the
original number
14 x 1 = 14 |
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cloud Tue, 30 Dec 2008 20:45:33 GMT |
|
Properties of
Multiplication
Commutative |
The order that numbers are
multiplied does not matter.
5 x 6 = 6 x 5 |
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cloud Tue, 30 Dec 2008 20:45:33 GMT |
|
Properties of
Multiplication
Associative |
The order that numbers are
grouped in multiplication does
not matter.
2 x (3 x 7) = (2 x 3) x 7 |
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cloud Tue, 30 Dec 2008 20:45:33 GMT |
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| Inverse Properties of Addition |
Any number plus its opposite
is 0.
5 + (-5) = 0
-4 + 4 = 0 |
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cloud Tue, 30 Dec 2008 20:41:39 GMT |
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| Identity Properties of Addition |
The sum of any number and 0
is the original number.
5 + 0 = 5 |
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cloud Tue, 30 Dec 2008 20:41:39 GMT |
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| Commutative Properties of Addition |
The order that numbers are
added does not matter.
4 + 5 = 5 + 4 |
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cloud Tue, 30 Dec 2008 20:41:39 GMT |
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| Associative Properties of Addition |
The order that numbers are
grouped in addition does not
matter.
3 + (4 + 5) = (3 + 4) +5 |
0 |
cloud Tue, 30 Dec 2008 20:41:39 GMT |
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