Place Value Chart

A free, interactive place value chart. Type a number and its digits fill the columns, with expanded form and word form; tap a digit to see what it is worth. Blank it out to practice, or print it.

Type a number

Millions			Thousands			Ones				Decimals
Hundred millions	Ten millions	Millions	Hundred thousands	Ten thousands	Thousands	Hundreds	Tens	Ones		Tenths	Hundredths	Thousandths
100,000,000	10,000,000	1,000,000	100,000	10,000	1,000	100	10	1		0.1	0.01	0.001
		3	4	8	2	1	0	5	.	6	7

Expanded form: 3,482,105.67 = 3,000,000 + 400,000 + 80,000 + 2,000 + 100 + 5 + 0.6 + 0.07

In words: three million, four hundred eighty-two thousand, one hundred five and sixty-seven hundredths

Place value is what makes multi-digit math work.

Regrouping, carrying and borrowing are all place value in action. A 10-question Num Drill quiz takes about a minute and adapts to the problems your child keeps missing.

Start a quiz Addition & subtraction

What a place value chart is

A place value chart is a table with one column for each place in a number. The column a digit sits in decides what it is worth: the 4 in 3,482,105 is in the hundred-thousands column, so it means 400,000, while the 4 in 14 means just four ones. Type any number into the box above and its digits drop into their columns, along with the number in expanded form and in words. Tap a digit to see exactly what it is worth.

The places, in order

Reading right to left from the ones, each place is worth ten times the place to its right: ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, ten millions, hundred millions. The places come in groups of three called periods — ones, thousands, millions — and each period repeats the same pattern of hundreds, tens and ones. That is what the commas in a large number mark: 3,482,105 reads as “3 million, 482 thousand, 105”.

Decimals: tenths, hundredths and thousandths

To the right of the decimal point the pattern keeps going, each place worth one tenth of the place to its left: tenths (0.1), hundredths (0.01) and thousandths (0.001). Watch the “-ths”: hundreds and hundredths are mirror images around the ones place, not the same thing. In 8.03, the 3 is in the hundredths place, so it is worth three hundredths (0.03) — and the 0 in the tenths place is what keeps it there.

Why zeros matter

A zero is a placeholder: it holds a place open so every other digit stays in the right column. In 4,072 the zero says “no hundreds”; drop it and the number becomes 472. Most place value mistakes in the early grades come from skipping a zero when writing a number from words (“four thousand seventy-two”) — writing it into a chart, one digit per box, is the fix.

Place value by grade

1st grade: tens and ones, and counting to 120 (1st grade math).
2nd grade: hundreds, tens and ones up to 1,000, and three-digit numbers in expanded form (2nd grade math).
3rd grade: rounding to the nearest 10 or 100.
4th grade: multi-digit whole numbers up to 1,000,000, and each place being ten times the place to its right (4th grade math).
5th grade: decimals to thousandths (5th grade math).

Printable place value charts

Use Blank mode and Print above for a quick fill-in chart, or grab a ready-made PDF: the place value chart (hundred-millions to thousandths, with each place's value and ten worked examples) and the place value chart worksheet (write twelve numbers into the chart, answer key on page 2). Both are free, with no login, alongside the rest of our printable math worksheets.

Common questions

What is a place value chart?

A place value chart is a table with one column for each place in a number — ones, tens, hundreds and so on, plus tenths, hundredths and thousandths after the decimal point. Writing a number into it, one digit per column, shows what each digit is worth.

What are the place values in order?

From the decimal point leftward: ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, ten millions, hundred millions. To the right of the decimal point: tenths, hundredths, thousandths. Each place is worth ten times the place to its right.

What is the difference between place and value?

The place is the column a digit sits in; the value is what the digit is worth there. In 3,482,105 the 8 is in the ten-thousands place, so its value is 80,000.

What is expanded form?

Expanded form writes a number as the sum of each digit's value. For example, 3,482,105 = 3,000,000 + 400,000 + 80,000 + 2,000 + 100 + 5, and 8.03 = 8 + 0.03. Zeros are left out because they add nothing.

What are periods in place value?

Periods are groups of three places — ones, thousands, millions — and each repeats hundreds, tens and ones. The commas in a large number separate the periods, which is why 3,482,105 is read as 3 million, 482 thousand, 105.

Is this place value chart free to print?

Yes. It is free with no login. Use the Print button for a one-page version, turn on Blank mode first for a fill-in chart, or download the printable PDF chart and worksheet.