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5 (3 + 11) = 5 (3) + 5 (11) be specific with the naming include "of addition" or "of multiplication" if applicable.

Name the properties of real numbers????

2007-02-04 04:45:04 · 3 answers · asked by chickiejam 1 in Science & Mathematics Mathematics

3 answers

Distributive Property of Multiplication over Addition.

But the majority of people just refer to it as the distributive property.

Properties of real numbers: (in no particular oder)

Associative Property (for both addition and multiplication):
a + (b + c) = (a + b) + c
a*(b*c) = (a*b)*c
Basically means that when working with multiplication and addition order that you can move the parentheses around and do either pair first.

Commutative Property (for both addition and multiplication)
a + b = b + a
a*b = b*a
You can switch the order and you still get the same answer. (Doesn't work for subtraction or division.)

Identity Property for Addition.
There is a number that when added to any other number doesn't change the value of teh second number. In other words, 0. a + 0 = a.

Identity Property for Multiplication.
There's a number that doesn't do diddly when you multipy by it, namely 1.
a*1 = a.

Inverse Elements

For every number there is an "opposite" number that will bring it back to the identity element.

For addition, 10 has additive inverse of - 10
10 + ( - 10) = 0. (normally a simple sign change will give you your inverse)

For multiplication, 2/3 has the multiplicative inverse of 3/2.
(2/3)(3/2) = 6/6 = 1 (normally just the reciprocal of the original number will give you your inverse)

And then the distributive property (of multiplication over addition) which you illustrated in your question.

2007-02-04 05:07:32 · answer #1 · answered by mirramai 3 · 0 0

Distributive Law of Multiplication over Addition.

Nobody in their right minds calls it anything fancier than the "Distributive Law".

2007-02-04 04:49:28 · answer #2 · answered by Curt Monash 7 · 0 0

distributive property (of multiplication)

2007-02-04 04:50:55 · answer #3 · answered by Maths Rocks 4 · 0 0

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