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**Rational Numbers and Decimals**

5.5

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

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

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

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

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**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

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**Fraction to Decimal Divide the denominator into numerator Two types:**

Terminating : ends Repeating: never ends but keeps repeating

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Turn into a decimal

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Turn into a decimal

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**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!!!

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Turn to a fraction 0.6

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Turn to a fraction 0.45

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**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

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Turn into a fraction

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Turn into a Fraction

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Turn into a Fraction

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

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