Rational numbers
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Rational numbers

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Rational numbers Rational numbers Presentation Transcript

  • Rational Numbers Summary
  • Definition of Rational Numbers
    • Any number that can be made by dividing one integer by another. The word comes from "ratio".
    • This means that rational numbers include positive and negative numbers, whole numbers, fractions and decimals.
    • Two fractions that stand for the same number
    What is an equivalent fraction?
  • Vs. Mixed Numbers Improper Fractions
  • What is a mixed number?
    • The sum of a whole number and a fraction
  • & These are examples of mixed numbers
  • What is an improper fraction
    • A fraction with a numerator greater then the denominator
    NUMERATOR denominator
    • These are examples of improper fractions
    &
  • Changing an improper fraction to a mixed number = =
  • Notice how the denominator stays the same when converting to an improper fraction to a mixed number =
  • Changing a mixed number into an improper fraction = =
  • Notice how the denominators stay the same when converting from a mixed number to an improper fraction = =
  • Fractions are FUNNY!
  • Were here to show you the rules! Adding Fractions Subtracting Fractions Multiplying Fractions Dividing Fractions
  • Adding Fractions Adding fractions requires a common denominator To find the common denominator between fractions simply multiply the denominators and this is the common denominator. this number may be large so try and find a number that all denominators will divide into evenly.
  • Adding Fractions
    • However this number may be large so try and find a number that all denominators will divide into evenly.
    Adding fractions requires a common denominator To find the common denominator between fractions simply multiply the denominators and this is the common denominator.
  • Example
    • We need to find a C.D. in order to add these fractions.
    • If we multiply the denominators
    • that is a big number…but both 6 and 12 divide evenly (without a remainder) into 12.
    • The first fraction already has a denominator of 12 so we leave it alone but what do we have to multiple the second denominator by in order to change it to 12?
    • If you said 2…you are right!
  • Example continued…
    • If you multiply the denominator by 2 you MUST multiply the numerator by two also!
    • Remember: whatever you do to the bottom you must do to the top.
    • Once you have common denominators…add the numerator and KEEP the Common Denominator.
  • Subtracting Fractions Same rule…you have to get a common denominator before you subtract the numerators!
  • Example of Subtraction
  • Multiplying Fractions Multiplying fractions is easy Multiple the numerators Multiple the denominators
  • Example of Multiplying
  • Dividing Fractions Dividing fractions requires one more step Keep the first fraction the same Change the multiple to divide And FLIP the second fraction
  • Example of Dividing When the fraction is “flipped” it is called the INVERSE