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Decimal Notation and Rounding Decimals

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One and sixty-seven thousandths. 1.067. Three and forty-two hundredths. 3.42. Five and two tenths ... Nine and one hundred nine thousandths. 5.4. Five and four ... – PowerPoint PPT presentation

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Title: Decimal Notation and Rounding Decimals


1
Decimal Notation and Rounding Decimals
  • Chapter 3
  • Lessons 1 2

2
What is Decimal Notation?
  • Writing numbers using decimal point
  • Not whole numbers
  • Numbers that are between whole numbers
  • Based on parts of a whole - tenths, hundredths,
    and thousandths

3
Every number has a decimal!
  • Where is the decimal in a whole number?
  • 24
  • 24.0
  • 112
  • 112.0
  • 58
  • 58.0000000000000000000000000000000
  • 1,965
  • 1,965.0

4
Correct the decimal mistake!
  • John, the fullback on the football team, weighs
    19.5 pounds.
  • Marys living room is 200 feet long and 1.2 feet
    wide.
  • Mrs. Prozzillo bought 10 gallons of gas for 270.
  • Mr. Gurecki paid 185.75 for his new car.
  • For Sunday dinner, Mr. Smith bought a turkey that
    weighed .12 pounds.

5
Place Value
  • 1.37 Standard Form
  • One and thirty seven hundredths Word Form

6
What decimal does the grid represent?
  • 0.32
  • Thirty two hundredths

7
What decimal does the grid represent?
  • 0.7
  • Seven tenths

8
What decimal does the grid represent?
  • 0.81
  • Eighty one hundredths

9
What decimal does the grid represent?
  • 2.45
  • Two and forty five hundredths

10
Write the number as a decimal
  • Fifty-one hundredths
  • 0.51
  • One and sixty-seven thousandths
  • 1.067
  • Three and forty-two hundredths
  • 3.42
  • Five and two tenths
  • 5.2

11
Write the decimal in word form
  • 0.58
  • Fifty eight hundredths
  • 9.109
  • Nine and one hundred nine thousandths
  • 5.4
  • Five and four tenths
  • 0.013
  • Thirteen thousandths

12
Rounding
13
How do you round?
  • You will be asked to round to a certain place
    value
  • Round 10.674 to the hundredths place
  • Box number in place value
  • 10.674
  • Look at number to the right of the box
  • 10.674

14
10.674
  • If the number to the right of the box is 5 or
    higher, change the name
  • Less than 5 stays the same
  • All numbers to the right of the box turn to zeros
  • 10.670

15
Round to the given place
  • 5.81
  • 5.80
  • 0.471
  • 0.5
  • 8.928
  • 8.93
  • 56.82
  • 60
  • 52.09
  • 52.1

16
Round to the nearest centimeter and to the
nearest tenth of a centimeter
  • Round to the nearest centimeter This is the
    whole number
  • Round to the nearest tenth of a centimeter -
    decimal

17
Round to the nearest centimeter and to the
nearest tenth of a centimeter
  • Round to the nearest centimeter this is the
    whole number
  • Round to the nearest tenth of a centimeter -
    decimal
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