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Decimal numbers - tenths
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The number line between 0 and 1 is divided into ten parts.
Under the tick marks you see decimal numbers such as 0.1, 0.2, 0.3, and so on.
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We can write any fraction with tenths
(denominator 10) using the decimal
point.
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1. Write the fractions as decimals and vice versa.
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2. Write the decimal and the fraction that the picture shows.
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3. Shade the parts to show the decimals.
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“Decimal” comes from the Latin root decem, which simply means ten. The number system we use is called the decimal number system, because the place value units go in tens: you have ones, tens, hundreds, thousands, and so on, each unit being 10 times the previous one. In common language, the word “decimal number” has come to mean numbers which have digits after the decimal point, such as 5.8 or 9.302. But in reality, any number within the decimal number system could be termed a decimal number, including whole numbers such as 12 or 381. |
4. Write the mixed number under each decimal number.

5. Write the decimal numbers under the tick marks.
[available in the book]
6. Make a number line from 2 till 3.5 with tick marks at every tenth. Label them with decimal numbers.
7. Compare. Write <, >, or = in between the numbers.
| a. 0.5
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b. 1.3 |
c. |
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e. 16.0 |
8. Put in order from smallest to largest:
| 1.2 0.9 2.6 0.1 2 |
1
2 |
2.3 3.0 |
1
2 |
9. Mark these temperatures with dots on the thermometer: 37.4°C, 36.2°C, 38.7°C, 41.8°C, 40.5°C
[available in the book]
Next lesson: Tenths and place value
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The ideas in this decimals lesson are taken from Math Mammoth Decimals 1 book ($4.00 download). Only a few examples of each problem type are shown. |
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