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Rational Numbers and Decimals

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

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Rational Numbers and Decimals

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  1. Rational Numbers and Decimals 5.5

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

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

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

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

  6. Identify sets to which numbers belong • -5 Integers, rational number • 2/7 Rational number • 4 Natural , whole , integer, rational number • 0 Whole, integer, rational number • 8.5 Rational number

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

  8. Turn into a decimal

  9. Turn into a decimal

  10. 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!!!

  11. Turn to a fraction 0.6

  12. Turn to a fraction 0.45

  13. 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

  14. Turn into a fraction

  15. Turn into a Fraction

  16. Turn into a Fraction

  17. Homework • Page 242 (26-31 all, 36-50 even, 59-62 all)

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