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Arithmetic & Numbers

Place Value Calculator

Enter a number (decimals allowed). The calculator names each digit’s place, shows its value, and writes the expanded form.

Updated October 3, 2026Written and reviewed by Mateuss M.Method: how we calculate

Up to 13 whole digits and 6 decimals
Try an example:
Answer4,000 + 70 + 5 + 0.3
  • Digits: 5
Step-by-step working 2 steps
  1. 1
    Name each digit’s place
    4 is in the thousands place → 4 × 1,000 = 4,000
7 is in the tens place → 7 × 10 = 70
5 is in the ones place → 5 × 1 = 5
3 is in the tenths place → 3 × 1/10 = 0.3
  2. 2
    Expanded form
    4,075.3 = 4,000 + 70 + 5 + 0.3

How to use the place value calculator

  1. Enter a number.
  2. Read each digit’s place name.
  3. See its value.
  4. Copy the expanded form.

Place values

Whole numbers: ones, tens, hundreds, thousands, …
Decimals: tenths (1/10), hundredths (1/100), thousandths (1/1000)
Value of a digit = digit × value of its place

A zero holds a place but adds nothing to the value.

Worked examples

Each example below is generated by the same calculator you used above, so the working always matches the answer.

4075.3
Answer4,000 + 70 + 5 + 0.3
  • Digits: 5
Step-by-step working 2 steps
  1. 1
    Name each digit’s place
    4 is in the thousands place → 4 × 1,000 = 4,000
7 is in the tens place → 7 × 10 = 70
5 is in the ones place → 5 × 1 = 5
3 is in the tenths place → 3 × 1/10 = 0.3
  2. 2
    Expanded form
    4,075.3 = 4,000 + 70 + 5 + 0.3
1,305,982
Answer1,000,000 + 300,000 + 5,000 + 900 + 80 + 2
  • Digits: 7
Step-by-step working 2 steps
  1. 1
    Name each digit’s place
    1 is in the millions place → 1 × 1,000,000 = 1,000,000
3 is in the hundred thousands place → 3 × 100,000 = 300,000
5 is in the thousands place → 5 × 1,000 = 5,000
9 is in the hundreds place → 9 × 100 = 900
8 is in the tens place → 8 × 10 = 80
2 is in the ones place → 2 × 1 = 2
  2. 2
    Expanded form
    1,305,982 = 1,000,000 + 300,000 + 5,000 + 900 + 80 + 2
0.0462
Answer0.04 + 0.006 + 0.0002
  • Digits: 5
Step-by-step working 2 steps
  1. 1
    Name each digit’s place
    0 is in the ones place → 0 × 1 = 0
4 is in the hundredths place → 4 × 1/100 = 0.04
6 is in the thousandths place → 6 × 1/1000 = 0.006
2 is in the ten-thousandths place → 2 × 1/10000 = 0.0002
  2. 2
    Expanded form
    0.0462 = 0.04 + 0.006 + 0.0002
90,000.05
Answer90,000 + 0.05
  • Digits: 7
Step-by-step working 2 steps
  1. 1
    Name each digit’s place
    9 is in the ten thousands place → 9 × 10,000 = 90,000
5 is in the hundredths place → 5 × 1/100 = 0.05
  2. 2
    Expanded form
    90,000.05 = 90,000 + 0.05

Common mistakes to avoid

Confusing the digit with its value

In 4075, the 7 is worth 70, not 7.

Mixing tens and tenths

Tens are left of the decimal point, tenths are right of it.

Skipping zeros as placeholders

The zero in 4075 is what makes the 4 worth 4,000.

Frequently asked questions

What is expanded form?

Writing a number as the sum of each digit’s value, like 4,075 = 4,000 + 70 + 5.