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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

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Presentation Transcript
natural numbers
Natural Numbers
  • Counting Numbers
  • 1,2,3,4,5,6,7…
whole numbers
Whole Numbers
  • 0+ Natural Numbers
  • 0,1,2,3,4,5,6…
integers
Integers
  • Negative Numbers + Whole Numbers
  • …-3, -2,-1, 0, 1, 2, 3…
rational numbers
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
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

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

to write a repeating decimal as a fraction
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
homework
Homework
  • Page 242 (26-31 all, 36-50 even, 59-62 all)