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Place Values After the Decimal Point
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Just like each digit in a whole number, each digit behind the decimal point also has a name. You can see in the visual that the names go in the same order in the opposite direction from the whole number place value names. It is important to learn these place value names so you will know where to round when someone asks you to round to certain place value or precision. Understanding these names will also help you with fractions.

image of number 6,781,239,465.724069. The words 'Decimal Point' are below with an arrow pointing to the decimal point between the 5 and the 7. Each number is labeled with a place value. On the left side of the decimal point: 6=Billions, 7=Hundred Millions, 8=Ten Millions, 1=Millions, 2=Hundred Thousands, 3=Ten Thousands, 9=Thousands, 4=Hundreds, 6=Tens, 5=Ones. On the right side of the decimal point: 7=tenths, 2=hundredths, 4=thousandths, 0=ten thousandths, 6=hundred thousandths, 9=millionths

In some places around the world, a comma (,) is used to show where the decimal point is in a number. In other places, a period (.) is used for the decimal point. In this course, we will use a period to mark all decimal points and we will sometimes use commas to group the numbers to the left of the decimal point for easier reading. If you are used to a comma as your decimal point, be sure to pay close attention to this detail.

Place Values After the Decimal Point

Video Source (06:49 mins) | Transcript

Additional Resources

Practice Problems

1. Consider the number 0.261354. For each of the following digits, give its place value:
(
Video Solution
x
Solution:
a. 1 = thousandths
b. 2 = tenths
c. 3 = ten thousandths
d. 4 = millionths
e. 5 = hundred thousandths

Details:

(Video Source | Transcript)
)
a. 1
b. 2
c. 3
d. 4
e. 5
    2. Consider the number 95.487016. For each of the following digits, give its place value:
    (
    Video Solution
    x
    Solution:
    a. 6 = millionths
    b. 7 = thousandths
    c. 8 = hundredths
    d. 9 = tens
    e. 0 = ten thousandths

    Details:

    (Video Source | Transcript)
    )
    a. 6
    b. 7
    c. 8
    d. 9
    e. 0

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