Place value
Whole-number place-value chart
Read the twelve whole-number places from hundred billions through ones. A fixed example, 123,456,789,012, connects each digit with its place and the full number name.
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Place-value chart with decimals
Connect twelve whole-number places with five fractional places, through hundred-thousandths. The fixed example 123,456,789,012.34567 includes a complete number reading.
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Read the whole-number periods, locate the decimal separator, then follow tenths through hundred-thousandths. Use the complete reading to connect the fractional digits with their denominator.
These are completed reference charts. Each paper size has one reference download, with no extra answer page. A long note or translated reading may continue onto another page.
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What this reference explains
Distinguish whole-number periods from fractional places and explain the value of each digit on either side of the decimal separator.
Read a place together
In the fractional part .34567, what does the 6 represent?
Six ten-thousandths: 0.0006
The places after the decimal are tenths, hundredths, thousandths, ten-thousandths and hundred-thousandths. The 6 is fourth, so its value is 6/10,000.
Teaching notes
Connect the labels with the number
- There is no oneths place after the decimal separator. The first fractional place is tenths.
- Read .34567 as thirty-four thousand five hundred sixty-seven hundred-thousandths when discussing the value of the whole fractional part.
- The chart uses a point in English and the selected language’s decimal convention in translated versions. Its exact digits stay the same.
- This reference extends far beyond an introductory decimal lesson. Begin with the tenths and hundredths columns when those are the learner’s current focus.
- There is no separate answer key: every place and digit is already shown.
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Related place-value practice
Mixed operations
Decimal addition and subtraction
Add and subtract exact fixed-place decimals with one to three fractional digits and up to four digits left of the decimal.
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Function table
Decimal addition and subtraction in-out boxes
Track one constant change through fourteen decimal tables. Choose tenths or hundredths, apply visible rules and infer hidden rules from complete pairs.
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