Decimal place value
The place value chart carried past the point, from hundreds down to thousandths, with 346.507 placed in the columns so the halves either side of the decimal point can be compared.
Reference chart
Decimal place value
| Hundreds | Tens | Ones | . | Tenths | Hundredths | Thousandths |
|---|---|---|---|---|---|---|
| 100 | 10 | 1 | and | 110 | 1100 | 11000 |
| 3 | 4 | 6 | . | 5 | 0 | 7 |
| 0 | . | 8 | 0 | 4 | ||
| 2 | 5 | . | 0 | 6 |
Say it out loud
- 346.507three hundred forty-six and five hundred seven thousandths
- 0.804eight hundred four thousandths
- 25.06twenty-five and six hundredths
Why there is no "oneths"
- The ones column is the mirror. Hundreds and hundredths sit the same distance out, tens and tenths the same — so the ones have nothing on the other side to reflect into.
- Going right, each column is a tenth of the one before. Going left, each is ten times it. Same rule, read two ways.
What's on this chart
Place value stops being obvious exactly where the decimal point appears. A child reads the whole-number side confidently — each column is ten times the one to its right — and then meets tenths, where the same rule has to be run the other way: each column is a tenth of the one to its left. Those are one rule, and they only look like one when someone shows the columns continuing straight through the point.
Why this chart helps
So the point gets a column of its own here rather than being tucked against a digit. It is the line the chart is symmetrical about: hundreds and hundredths sit the same distance out on either side, tens and tenths the same. That symmetry answers the question every class asks, which is why there is no "oneths" column — the ones column is the axis, so it cannot also be its own reflection.
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