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Fractions, Decimals, and Percents

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Fractions, Decimals, and Percents Mr. Swaner A Quick Review Fractions, decimals, and percents are all parts of a whole. They are also related and can be converted ... – PowerPoint PPT presentation

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Title: Fractions, Decimals, and Percents


1
Fractions, Decimals, and Percents
Mr. Swaner
2
A Quick Review
  • Fractions, decimals, and percents are all parts
    of a whole. They are also related and can be
    converted back and forth.

1
0
.25 25
.50 50
0 0
.75 75
1
100
3
Decimals
  • Decimals are like fractions because they also
    represent parts of a whole, however, decimals use
    the base ten system by place value. The place is
    named by the furthest right number.

tenths, hundredths, thousandths, ten thousandths,
hundred thousandths.
0.1 is said one tenth because the furthest
right number is in the tenth place.
0.17 is said seventeen hundredths for the same
reason,
How would we say 0.83
Eighty-three hundredths
How would we say 0.015?
fifteen thousandths,
4
Converting decimals to fractions
  • Converting decimals to fractions is easy because
    all we have to do is read the decimal and it
    sounds the same as when we read the fraction.
  • We read 0.3 as three tenths. which is
  • 0.41 is read forty-one hundredths.

5
  • .07
  • .13
  • .3
  • .107

6
(No Transcript)
7
Fractions in base 10
  • Fractions in base 10 (denominator 10, 100,
    1000..) are easy because they are also read the
    same way as decimals

8
Say it and Write it
9
Converting Fractions to Decimals
  • If the fraction has a denominator in base ten
    (10, 100, 1,000 etc.) It works the same way.
  • is 0.07 both are read seven hundredths.
  • If the fraction does not have a base ten
    denominator, you must use long division until you
    get a repeating or terminating decimal.

10
Dividing out a Fraction
When dividing the fraction, it is important to
make sure you have the right number in the
house, or inside the division symbol
house
house
basement
11
Dividing out a Fraction
When dividing the fraction, it is important to
make sure you have the right number in the
house. or inside the division symbol
house
house
basement
12
Lets Try a Few
  • Convert 0.49 to a fraction
  • Convert .083 to a fraction
  • Convert to a decimal
  • Convert to a decimal
  • Convert to a decimal

13
Lets Try a Few
  • Convert 0.49 to a fraction
  • Convert .083 to a fraction
  • Convert to a decimal
  • Convert to a decimal

14
  • I wish I could do this sometimes during the
    summer!

15
(No Transcript)
16
These are called terminating decimals
  • A terminating decimal ends

17
A Repeating Decimal
  • Ummmmmm it repeats. Use a bar to show it repeats

18
Day 2?
19
Warm Up
  • 1) convert 0.16 to a fraction
  • 2) convert to a decimal
  • 3) convert to a decimal

20
Converting Numbers into Percents
  • When you have a fraction with a denominator in
    base 10 (10, 100, 1,000), numbers can be easily
    converted into percents.
  • The word percent literally means per hundred.
  • means you have 40 per hundred or 40
  • How could we easily find what percent is?

21
Converting Decimals to Percents
  • Lucky for us, decimals are ALL in base ten.
  • 0.72 means 72 per hundred or 72.
  • What happens if we have 0.851
  • How many hundredths are there?
  • The left over is just a decimal
  • An easy rule for converting decimals to percents
    is to simply move the decimal 2 places right.

85
85.1
22
(No Transcript)
23
Lets Try Some
24
Percents to Decimals and Fractions
  • To convert a percent to a decimal, we do the
    reverse. Instead of moving the decimal 2 places
    right, we move it 2 places left and drop the
    sign.

25
Try One on Your Own
Convert 27 into a decimal
Now convert 0.27 into a fraction
26
Closure
  • How do you convert a decimal to a fraction?
  • How do you convert a fraction to a decimal?
  • How do you convert a decimal to a percent?
  • How do you convert a percent to a decimal?

Write it as it is read
Long divide
Move the decimal right 2 places
Move the decimal left 2 places
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