Connect Tenths and Hundredths to Decimal Digits

Supplied materials

• Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
• Supplied worked-case record: Seven hundredths is 7/100=0.07, not 0.7.
• All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.

Learn the idea

Decimal places represent fractions of a whole. The first digit after the decimal point counts tenths and the second counts hundredths. Zero can hold either place open. A decimal is a quantity on the number line, not merely a different-looking way to write two unrelated digits.

Use the supplied denominator to identify the decimal place. Write tenths or hundredths with the correct position, adding a zero placeholder if needed. Check using a ten-by-ten grid where each small square represents one hundredth.

Count the places after the decimal point. Seven hundredths and seven tenths are different values. Shade the supplied number of squares on a conceptual hundred-square whole.

1. Shade the supplied number of squares on a conceptual hundred-square whole.
2. Follow the worked example. Point to each number or shape feature and say what it tells you.
3. Use the supplied denominator to identify the decimal place.
4. Try the question and then the three practice questions. Check your answers and explain any change you make.

Check your reasoning

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Take it further

Write 4/100 and 4/10. Expected: 0.04 and 0.4.

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