Decimal Place Value, Charts, and Downloadable Exercises
Understanding the value of Decimal Places could be a little tricky compared to the place value of whole numbers, but here we will try our best to explain it in a simple and easy way.
Here is an example of a decimal number: 42.39
- The first place after a Decimal is known as Tenths Place and the second place is called Hundredths place.
The Place of 3 in 42.39 is Tenths.
The Place of 9 in 42.39 is Hundredths.
Do not get confused here. Place of 4 in 42.39 is Tens, Place of 2 in Once, and Place of 3 is Tenths. Ones or Oneths place doesn’t exist after the decimal.
Here is a Place Value Chart
The difference between Tens and Tenths, Hundreds and Hundredths, and so on…
- Tens is written as 10s, but Tenths is 1/10s.
- Hundreds is 100s, but Hundredths is 1/100s.
- Thousands is 1000s, but Thousandths is 1/1000s.
Let’s Have a Quick Look
Hundred | 100 | |
Ten | 10 | |
One | 1 | |
Tenth | 1/10 | .1 |
Hundredth | 1/100 | .01 |
Thousandth | 1/1000 | .001 |
Ten Thousandth | 1/10000 | .0001 |
Hundred Thousandth | 1/100000 | .00001 |
Millionth | 1/1000000 | .000001 |
1. Question: Write the Place Value of 683.294
Solution:
- The Place value of 4 is the digit 683.294 is 4/1000
- The place value of 9 in the digit 683.294 is 9/100
- The Place value of 2 in the digit 683.294 is 2/10
- The place value of 3 in the digit 683.294 is 3
- The place value of 8 in the digit 683.294 is 80
- The place value of 6 in the digit 683.294 is 600
2. Question: Show the Place Value of Digit 4.6 in a chart
O | D | T |
N | E | E |
E | C | N |
S | I | T |
M | H | |
A | S | |
L | ||
4 | . | 6 |
Let’s do a few more lessons to practice.
3. Question: Show the Place Value of Digit 3,295.401 in a chart
T | H | T | O | D | T | H | T |
H | U | E | N | E | E | U | H |
O | N | N | E | C | N | N | O |
U | D | S | S | I | T | D | U |
S | R | M | H | R | S | ||
A | E | A | S | E | A | ||
N | D | L | D | N | |||
D | S | T | D | ||||
S | H | T | |||||
S | H | ||||||
S | |||||||
3 | 2 | 9 | 5 | . | 4 | 0 | 1 |
Let’s do one more.
4. Question: Show the Place Value of Digit 1,023,746.401234 in a chart
1 | Millions (1,000,000s) |
0 | Hundred Thousands (100,000s) |
2 | Ten Thousands (10,000s) |
3 | Thousands (1,000s) |
7 | Hundreds (100s) |
4 | Tens (10s) |
6 | Ones (1s) |
. | Decimal |
4 | Tens (1/10s) |
0 | Hundredths (1/100s) |
1 | Thousandths (1/1000s) |
2 | Ten Thousandths (1/10000s) |
3 | Hundred Thousandths (1/100000s) |
4 | Millionths (1/1000000s) |
Exercise to Test Your Skill (Download and Take a Print)
For Teachers and Parents: Download Decimal Place Value Charts and Print Out. Write the Digits in Questions Columns, Distribute Among Children to Practice:
Up to Millionths
Up to Thousandths
Up to Hundredths
Up to Tenths
If you still have questions or suggestions, or even if you want a different kind of Worksheet, feel free to comment and we will make one for you and upload here.