Read Decimal Place Values through Thousandths

Supplied materials

• Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
• Supplied worked-case record: The number 4.307 is four ones, three tenths, zero hundredths, and seven thousandths.
• All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.

Learn the idea

Decimals extend the base-ten pattern to places smaller than a whole. Each step right is one tenth of the preceding place. Expanded form joins ones, tenths, hundredths, and thousandths as their actual values. A zero holds an absent place so that later digits keep their intended size.

Identify every decimal place and add its value. Read the resulting decimal as a quantity, using trailing zeros when needed to show thousandths. Check by expressing the fractional part as a whole number of thousandths.

Write a zero for an empty place between occupied places. A digit in thousandths is ten times smaller than the same digit in hundredths. Make Ones, Tenths, Hundredths, and Thousandths columns.

1. Make Ones, Tenths, Hundredths, and Thousandths columns.
2. Follow the worked example. Point to each number or shape feature and say what it tells you.
3. Identify every decimal place and add its value.
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

Expand 6.052. Expected: 6+0.05+0.002.

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