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

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Presentation transcript:

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 IntegersWhole Numbers Rational Numbers Natural Numbers N W Z Q

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

In your workbooks:  Turn to pages 1-2  With a partner complete the following problems: 3-45 multiples of 3 Remember your heading.