 # Rational Numbers and Decimals

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Rational Numbers and Decimals
5.5

Natural Numbers Counting Numbers 1,2,3,4,5,6,7…

Whole Numbers 0+ Natural Numbers 0,1,2,3,4,5,6…

Integers Negative Numbers + Whole Numbers …-3, -2,-1, 0, 1, 2, 3…

Rational Numbers Integers + every number that can be written as a fraction -2, -3/2, -1, -0.4,0,1,1.25, 2….

Identify sets to which numbers belong
-5 Integers, rational number 2/7 Rational number 4 Natural , whole , integer, rational number Whole, integer, rational number 8.5

Fraction to Decimal Divide the denominator into numerator Two types:
Terminating : ends Repeating: never ends but keeps repeating

Turn into a decimal

Turn into a decimal

Decimal to Fraction 1 decimal place = put over 10
2 decimal places = put over 100 3 decimal places = put over 1,000 4 decimal places = put over 10,000 and so on… Then reduce!!!

Turn to a fraction 0.6

Turn to a fraction 0.45

To write a repeating decimal as a fraction
Set n= decimal Multiply both sides of the equation by either (10,100,1,000, 10,000, …) depending on how many numbers repeat Subtract step 2 from step 1 Solve for n

Turn into a fraction

Turn into a Fraction

Turn into a Fraction

Homework Page 242 (26-31 all, even, all)