Rational Numbers and Decimals

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# Rational Numbers and Decimals - PowerPoint PPT Presentation

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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## PowerPoint Slideshow about 'Rational Numbers and Decimals' - heaton

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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

• 0

Whole, integer, rational number

• 8.5

Rational number

Fraction to Decimal
• Divide the denominator into numerator
• Two types:
• Terminating : ends
• Repeating: never ends but keeps repeating
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
• 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
• Page 242 (26-31 all, 36-50 even, 59-62 all)