  Can be put in fractional form  The decimal form of the number either terminates (ends) or repeats.  Counting numbers, whole numbers, integers and.

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 Can be put in fractional form  The decimal form of the number either terminates (ends) or repeats.  Counting numbers, whole numbers, integers and non-integers are all rational.

Examples:  Counting numbers {1,2,3,4,5…}  Whole numbers {0,1,2,3,4,5…}  Integers {…-3,-2,-1,0,1,2,3,4,5…}  Non-integers {5.25, 0.6, 0.18181818, -9.261 Repeating Decimal Terminating decimal

 Can NOT be written as a fraction.  The decimal form of the number never terminates and never repeats.

 Example:  Pi π 3.141592654…… Does not terminate, does not repeat.

Real Numbers Rational Numbers Irrational Numbers Integers Non-Integers Whole #s Negative Integers

Write whether each number is rational or irrational. 1. -23.75 _________ 2. 4.750918362… __________ 3. ⅝ ____________ 4. 1,469,000 ___________ 5. ¼ __________ 6. √15 ___________

1. -23.75 Rational 2. 4.750918362… Irrational 3. ⅝ Rational 4. 1,469,000 Rational 5. ¼ Rational 6. √15 Irrational

√81 -90.25189687…. 3.66 √2 Rational: √81 -9 3.66

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