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Properties of Real NumbersAlgebra AUnit 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.
IntegersThe 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.
7
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.
8 0 8
6 1 6
Multiplication Property of 0 Any number multiplied by 0 equals 0!
9 0 0
8,823, 427 0 0
1,000,000 0 0
Commutative Property Changing the order in which you add or
multiply does not change the sum or product.
a b b a
5 3 3 5
ab ba
12 2 2 12
Associative Property Changing the way the numbers are grouped