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# 2.3: Addition of Rational Numbers

Difficulty Level: At Grade Created by: CK-12
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### Vocabulary Language: English

The sum of any number and zero is the number itself.
Associative Property

Associative Property

The associative property states that you can change the groupings of numbers being added or multiplied without changing the sum. For example: (2+3) + 4 = 2 + (3+4), and (2 X 3) X 4 = 2 X (3 X 4).
Commutative Property

Commutative Property

The commutative property states that the order in which two numbers are added or multiplied does not affect the sum or product. For example $a+b=b+a \text{ and\,} (a)(b)=(b)(a)$.
Equivalent Fractions

Equivalent Fractions

Equivalent fractions are fractions that can each be simplified to the same fraction. An equivalent fraction is created by multiplying both the numerator and denominator of the original fraction by the same number.
multiplicative identity property

multiplicative identity property

The product of any number and one is the number itself.
simplest form

simplest form

The simplest form of a fraction has no common factors in the numerator and the denominator. The simplest form of 3/6 is 1/2.

Aug 13, 2012

Sep 04, 2015