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Decimals, Fractions, and Percents

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Decimals, Fractions, and Percents Definitions Decimal - Any number shown with a decimal point; a number based upon tenths or hundredths. ( 0.2, 0.375, 86.4 ) Fraction ... – PowerPoint PPT presentation

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Title: Decimals, Fractions, and Percents


1
Decimals, Fractions, andPercents
2
Definitions
  • Decimal - Any number shown with a decimal point
    a number based upon tenths or hundredths. ( 0.2,
    0.375, 86.4 )
  • Fraction - One or more of the equal parts of a
    whole a number usually expressed in the form
    a/b. ( 1/3, 2 5/8, 7/4 )
  • Percent- The word percent comes from Latin and
    means for each hundred or per hundred. (
    70, 6.5, 4.09 )

3
Converting Fractions to Decimals
  • Divide the numerator by the denominator.
  • Do this until you get a decimal that terminates
    or repeats.
  • If it repeats, place a bar ( ) over the first
    number that repeats.
  • Example 1 Convert 3/4 to a decimal
  • 3/4 34 0.75 (terminating decimal)
  • Example 2 Convert 2/3 to a decimal
  • 2/3 23 0.66 (repeating decimal)

4
Converting Fractions to Percent
  • Change the fraction to a decimal
  • Multiply the decimal by 100 (move two places to
    the right)
  • Put a percent sign ().
  • Example 1 Convert 1/2 to a percent
  • 1/2 1 2 0.50 (terminated)
  • 0.50100 50 50
  • Example 2 Convert 1/3 to a percent
  • 1/3 13 0.33 (repeating)
  • 0.33100 33 33

5
Converting Decimals to Fractions
  • Place the number that follows the decimal point
    over the place that it is in ( tenths,
    hundredths, thousandths, etc.).
  • Simplify as necessary.
  • Example 1 Convert 0.7 to a fraction
  • 0.7 7/10 ( 7 is in the tenths place )
  • Example 2 Convert 0.25 to a fraction
  • 0.25 25/100 1/4 (25 is in the hundredths place.
    the GCF of 25 and 100 is 4 therefore 1/4 is the
    simplest form of 25/100)
  • Example 3 Convert 1.625 to a fraction
  • 1.625 1 625/1000 1 5/8 ( 625 is in the
    thousandths place. 5/8 is the simplified form of
    625/1000)

6
Converting Decimals to Percent
  • 1. Multiply the decimal by 100 and write the
    percent sign (), or move the decimal point two
    places to the right and write the percent sign
    ().
  • Example 1 Convert 0.20 to a percent
  • 0.20100 20 20
  • Example 2 Convert 4 to a percent
  • 4100 400 400

7
Converting Percent to Fractions
  • Change the percent to a decimal ( the by 100
    or move the decimal point 2 places to the left)
  • Put the numbers behind the decimal point over the
    place that it is in ( tenths, hundredths,
    thousandths, etc.).
  • Simplify as necessary
  • Example 1 Convert 85 to a fraction
  • 85 85 100 0.85 85/100 17/20 ( 85 is in
    the hundredths place. 17/20 is the simplified
    form of 85/100 )
  • Example 2 Convert 12.5 to a fraction
  • 12.5 12.5 100 0.125 125/10001/8 ( 125 is in
    the thousandths place. 1/8 is the simplified form
    of 125/1000 )

8
Converting Percent to Decimals
  • Divide the percent by 100 or move the decimal
    point 2 places to the left
  • Example 1 Convert 72 to a decimal
  • 72 72 100 0.72
  • Example 2 Convert 62.5 to a decimal
  • 62.5 62.5 100 0.625
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