01 Key Concepts
Place vs. Value
'Place' is the position (ones, tens, hundreds...). 'Value' is what the digit is worth there (digit x place).
Expanded Form
Writing a number as the sum of the value of each digit. Example: present present present present present present present present present present present present present present present present.
Face Value
The digit itself, regardless of position (the face value of 7 in 375 is simply 7).
Decimal Place Value
Positions after the decimal point are tenths, hundredths, thousandths, each getting smaller by a factor of 10.
03 Key Formulas
- Value of a digit = digit x (10^position), counting the ones place as position 0.
04 Solved Examples
Example 1 What is the place value of 5 in 3,542?
- 3,542 has digits 3 (thousands), 5 (hundreds), 4 (tens), 2 (ones).
- 5 sits in the hundreds place.
- Its value = 5 x 100.
Answer: 500
Example 2 Write 4,067 in expanded form.
- 4 is in the thousands place: 4 x 1000 = 4000.
- 0 is in the hundreds place: 0 x 100 = 0.
- 6 is in the tens place: 6 x 10 = 60.
- 7 is in the ones place: 7 x 1 = 7.
Answer: 4000 + 0 + 60 + 7
Example 3 In the number 12.34, what is the place value of the 3?
- Positions after the decimal point are tenths, hundredths.
- 3 is the first digit after the decimal point.
Answer: Tenths place, value = 3/10 = 0.3
05 Practice Questions
1What is the place value of 8 in 812?
Hundreds (800)
2What is the face value of 8 in 812?
8
3Write 250 in expanded form.
200 + 50 + 0
4What is the place value of the 6 in 3.67?
Tenths (0.6)
5What digit is in the thousands place of 45,678?
5
📄 Place Value — Downloadable Worksheet
10 questions with a full answer key. Grab the PDF to print, or try the interactive version in your browser.