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

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

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

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

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

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

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