Place Value Calculator: Expanded Form
This place value calculator breaks any number into its digits and shows the place and value of each one, from billions down to thousandths. Type a whole number or decimal such as 4,582.37 and it builds a place value chart, writes the number in expanded form (4,000 + 500 + 80 + 2 + 0.3 + 0.07), in expanded form with powers of ten, and in word form. You can also pick a single digit position to see its value. It is made for elementary and middle school math homework.
Place Value Calculator
Find the place value of every digit in a whole number or decimal, plus expanded form and word form.
How to use the Place Value Calculator
- Type a whole number or decimal.
- Read the place value chart for every digit.
- Copy the expanded form or word form.
- Pick a position to see a single digit's value.
Place value rule
Value of a digit = digit × 10^position, where ones = 10⁰, tens = 10¹, tenths = 10⁻¹, hundredths = 10⁻²
Features
- Whole numbers and decimals
- Place value chart
- Expanded form with powers of ten
- Word form
Frequently asked questions
What is place value?
The value of a digit based on its position. In 4,582, the 5 is in the hundreds place, so its value is 500.
What is the difference between place and value?
The place is the position name, like hundreds. The value is the digit times that place, like 5 × 100 = 500.
What is expanded form?
Writing a number as the sum of each digit's value. 4,582.37 = 4,000 + 500 + 80 + 2 + 0.3 + 0.07.
What are the places after the decimal point?
Tenths, hundredths, thousandths, ten-thousandths and so on. In 0.375, the 7 is in the hundredths place and is worth 0.07.
How do you write a decimal in word form?
Read the whole part, say "and" for the decimal point, then read the decimal part followed by its last place: 4.37 is "four and thirty-seven hundredths".