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Three Decimal Digits - Thousandths
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The third decimal digit from the decimal point is the thousandths digit. For example, 0.008 is eight thousandths. Read the whole set of three decimal digits as a number, and say “thousandths.”
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 This number line has tick marks at every hundredth. For thousandths, we would need to divide each such interval into ten new intervals. Imagine that in between each two tick marks there are nine little lines. Those would represent thousandths. The numbers 0.052, 0.145, 0.228, and 0.304 are marked on the number line. Can you find them? |
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Reminder: You can “tag” zeros to the end of a decimal number, and its value will not change:
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This square illustrates one whole.
It is divided into hundred parts or hundredths. The top left square is divided into ten new
parts. Those are thousandths.
1. Fill in.
When you divide one whole into ten equal parts, you get ___________________________.
When you divide one tenth into ten equal parts, you get ___________________________.
When you divide one hundredth into ten equal parts, you get _______________________.
2. Write the decimals indicated by the arrows.
[available in the book]
3. Mark these decimals on the number line: 0.187, 0.205, 0.252, 0.301, and 0.314.
4.
Write the decimals in the place value charts, and as fractions.
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a. seven thousandths
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b. [available in the book]
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c. 3 and 371 thousandths
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d. [available in the book]
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e. [available in the book]
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f. 7 and 4 thousandths
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5. Write the fractions as decimals.
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[available in the book] | [available in the book] |
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| [available in the book] |
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6. Write as fractions.
| a. 0.048 | b. | c. | d. 6.7 |
| e. | f. 12.060 | g. | h. |
7. Use the place value chart to help you, and write the decimal that is....
one tenth more than 0.285 ________ one hundredth more than 0.285 _______ one thousandth more than 0.285 ______ |
[available in the book] | ||||||||||||
| [available in the book] |
one tenth more than 0.9 ________ one hundredth more than 0.9 ________ one thousandth more than 0.9 ________ |
8. Ten tenths makes one whole. We can write that as a
multiplication: 10 × 0.1 = 1.
(Note, the word “makes” corresponds to the equal sign, but
there is no word
to correspond to
the multiplication sign; it is implied.)
Fill in the sentences below, and write a multiplication
sentence to match each one.
Hint: The picture of the large square in the first
page of this lesson can help.
a. _____ thousandths makes a hundredth. _____ × _____ = _____
b. _____ hundredths makes a tenth. _____ × _____ = _____
c. [available in the book]
d. [available in the book]
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9. Place the numbers in the cross-number puzzle. |
[available in the book] |
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Across: a. two and 49 thousandths c. two and 7 hundredths d. five hundredths e. 71 hundredths f. 392 thousandths |
Down: a. 2 and nine hundredths b. threeand76 thousandths c. 2 and five tenths d. 3 thousandths e. two tenths |
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Next lesson: Add decimals with hundredths
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The ideas in this decimals lesson are taken from Math Mammoth Decimals 2 book ($4.25 download). Only a few examples of each problem type are shown. |
The fast, FUN, and easy way to learn multiplication. Learn the upper times tales in two sittings using mnemonic stories.
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