1. Rational Numbers
SWBAT define the set of rational numbers; identify subsets of rational numbers; write rational numbers in equivalent forms

2. Rational Numbers Include:
List the first 5 natural or counting numbers:
1, 2, 3, 4, 5
List the first 5 whole numbers:
0, 1, 2, 3, 4, 5
List the first 5 integers in both directions:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
What do you notice about these numbers?
Each group includes the group above it, but adds more numbers into the mix

3. Definitions Rational numbers
Any number that can be written in fractional form
_a_ b
Where a and b are integers and b ≠ 0
Includes:
Natural or counting numbers
Whole numbers
Integers

4. Rational Numbers Rational Numbers Q Integers Z Whole Numbers W
Natural Numbers N

5. Rational numbers include:
Terminating decimal
Decimals that have a finite number of decimal places
Repeating decimal
Decimals in which a digit or sequence of digits repeats without end
A bar over the numbers shows it repeats

6. Converting fractions to decimals
All fractions have an equivalent decimal form
Any fraction can be converted to a decimal by simply dividing the numerator by the denominator
Numerator
Denominator
Numerator ÷ Denominator

7. Convert
1/3
1/2
15 5/8
2 7/30
9/33