Place value chart with decimals
Seven named columns, thousands through to thousandths, over eight ruled rows, with a heavier rule at the point. The names mirror because the rule does.
What this chart holds
Seven columns, named in this order from the left: Thousands, Hundreds, Tens, Ones, Tenths, Hundredths, Thousandths. Beneath them, eight rows, ruled and empty. Nineteen ruled lines make the grid, four more than the fifteen on the four-column chart without decimals, and the type is set at 11 point.
A heavier rule falls between the Ones column and the Tenths column. On a sheet that prints no digits of its own, that rule is the only mark saying which side of the decimal point a column is on. Take it away and seven ruled strips is all that is left: what makes the sixth of them hundredths rather than hundreds is knowing where the point falls, and on this sheet the heavier rule is the only thing that says.
Taking it
The chart is computed in your own browser when you ask for it and comes back as a PDF, a PNG or an SVG. The decimal columns can be turned off, which leaves the four whole-number columns of the plain chart, and the number of ruled rows can be set higher than eight. The paper and whether the sheet stands upright or on its side are yours; the file named here is the A4 one. Nothing is uploaded and nothing is kept.
Why the names come back
The three columns to the right of the ones are not a second system bolted on to the first. They arrive by the same rule that produced the four to the left of it: every column on this sheet is worth a tenth of the column beside it on the left. That rule takes you from Thousands to Hundreds to Tens to Ones, and then it simply carries on. Tenths. Hundredths. Thousandths.
Which is why the names come back in pairs. Tens and Tenths, Hundreds and Hundredths, Thousands and Thousandths: three pairs, and the fold is not the decimal point but the Ones column sitting between them. Ones has no partner because it is the fold itself. Count outwards from it in either direction and the two columns you land on are the same distance out – one step is tens or tenths, two steps is hundreds or hundredths, three steps is thousands or thousandths. The seventh column stands as far to the right of the ones as the first stands to its left.
The decimal point gets no column and no heading of its own. It is not a place; it is the boundary between two of them, which is why it is drawn on this sheet as a rule and not as a name.