The properties of multiplication (with a, b, and c standing for any real numbers) are:
Zero Property: a · 0 = 0 ("Any number times zero is zero.")
Identity Property: a · 1 = a ("Any number times one is itself.")
Commutative Property: a · b = b · a ("When multiplying two numbers, order doesn't matter.")
Associative Property: a · (b · c) = (a · b) · c ("When multiplying more than two numbers, grouping doesn't matter.")
Distributive Property (of Multiplication over Addition): a · (b + c) = a · b + a · c
Rule of Double Negatives: (-a) · (-b) = a · b ("The product of two negatives is a positive.")
And, finally, every number except zero has a "multiplicative inverse," also called its reciprocal. The reciprocal of a is notated 1/a, and a · 1/a = 1.
Hope that helps!
2006-08-09 07:00:29
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answer #1
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answered by Jay H 5
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There are four properties involving multiplication that will help make problems easier to solve. They are the commutative, associative, multiplicative identity and distributive properties.
Commutative property: When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For example 4 * 2 = 2 * 4
Associative Property: When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors. For example (2 * 3) * 4 = 2 * (3 * 4)
Multiplicative Identity Property: The product of any number and one is that number. For example 5 * 1 = 5.
Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example 4 * (6 + 3) = 4*6 + 4*3 .....Property Management Bendigo
2014-10-15 16:46:14
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answer #2
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answered by Anonymous
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multiplication shows the following properties
1.closure
2.commutative
3.ditributive
4.associative
5.1 is the multiplicative identity
2006-08-09 06:56:15
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answer #3
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answered by raj 7
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BITMAS
order of importance
2006-08-09 06:52:34
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answer #4
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answered by Aslan 6
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distributive
a(b+c) = ab+ac
commutative
ab = ba
on and on
2006-08-09 06:52:25
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answer #5
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answered by AresIV 4
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