rational numbers and decimals 5.5. natural numbers counting numbers 1,2,3,4,5,6,7…
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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
• -5Integers, rational number• 2/7Rational number• 4Natural , whole , integer, rational number
• 0Whole, integer, rational number• 8.5Rational number
Fraction to Decimal
• Divide the denominator into numerator• Two types:– Terminating : ends– Repeating: never ends but keeps repeating
Turn into a decimal5
8
Turn into a decimal3
11
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
1. Set n= decimal2. Multiply both sides of the equation by either
(10,100,1,000, 10,000, …) depending on how many numbers repeat
3. Subtract step 2 from step 14. Solve for n
Turn into a fraction
0.56
Turn into a Fraction
0.7
Turn into a Fraction
0.12
Homework
• Page 242 (26-31 all, 36-50 even, 59-62 all)
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