Place Value Calculator
Find the place value of digits in a number. Learn ones, tens, hundreds, and more.
Try:
How to Use
- Enter any number (can include decimals)
- Click "Analyze Place Values"
- View the place value chart for each digit
- See expanded form and word form
What is Place Value Calculator?
Place value describes the value of each digit in a number based on its position. In our decimal system, each place is worth 10 times the place to its right. For example, in 352, the 3 is in the hundreds place (worth 300), the 5 is in the tens place (worth 50), and the 2 is in the ones place (worth 2).
Formula
Place Values (right to left):
Ones (10⁰), Tens (10¹), Hundreds (10²), Thousands (10³)...
Decimal Places (left to right):
Tenths (10⁻¹), Hundredths (10⁻²), Thousandths (10⁻³)...
Examples
- 5,432: 5 thousands + 4 hundreds + 3 tens + 2 ones
- 0.789: 7 tenths + 8 hundredths + 9 thousandths
- 12.34: 1 ten + 2 ones + 3 tenths + 4 hundredths
FAQ
Why is place value important?
Understanding place value is fundamental to arithmetic. It helps with addition (carrying), subtraction (borrowing), multiplication, division, and understanding the relative size of numbers.
What is expanded form?
Expanded form shows a number as the sum of each digit times its place value. For example, 352 = 300 + 50 + 2, or more explicitly: 3×100 + 5×10 + 2×1.
How do decimal place values work?
Decimal places continue the pattern but with negative exponents. Tenths = 1/10, hundredths = 1/100, thousandths = 1/1000, and so on.