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Properties of Real Numbers Algebra A Unit 1, Lesson 4

Natural Numbers  1,2,3,4,…  Also called the “Counting Numbers”

Whole Numbers  The whole numbers are the counting numbers with the addition of the number zero.

Integers  The integers is the set of whole numbers and their opposites. additive inverses.

Rational Numbers Any number that you can write as a fraction.

Irrational Numbers Any number that you cannot write as a fraction.

Real Numbers The combination of all rational and irrational numbers.

Properties

Identity Properties  Addition: if you add zero to a number, you get back the original number.  Multiplication: if you multiply a number by one, you get back the original number.

Multiplication Property of 0  Any number multiplied by 0 equals 0!

Commutative Property  Changing the order in which you add or multiply does not change the sum or product.

Associative Property  Changing the way the numbers are grouped does not change the sum or product.

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