Place values in decimal numbers
key notes :
โจ Place Values in Decimal Numbers
๐น What are Decimal Numbers?
- Decimal numbers are numbers that have a dot (.) called a decimal point.
Example: 3.45, 12.7, 0.89
๐ Decimal Point
- The decimal point separates:
โ Whole number part (left side)
โ Decimal part (right side)
Example:
7.32 โ 7 = whole part, 32 = decimal part
๐ Place Value Chart for Decimals
| Thousands | Hundreds | Tens | Ones | . | Tenths | Hundredths | Thousandths |
|---|---|---|---|---|---|---|---|
| 1,000 | 100 | 10 | 1 | . | 1/10 | 1/100 | 1/1000 |
๐ต Place Values After Decimal Point
Each place becomes 10 times smaller as we move right โก๏ธ
| Place Value | Name | Fraction Form | Example |
|---|---|---|---|
| 1st place after decimal | Tenths (โโโโ) | 0.1 = 1/10 | 5.3 โ 3 is tenths |
| 2nd place after decimal | Hundredths (โโโโโ) | 0.01 = 1/100 | 5.38 โ 8 is hundredths |
| 3rd place after decimal | Thousandths (โโโโโโ) | 0.001 = 1/1000 | 5.386 โ 6 is thousandths |
๐งฎ Examples
โ Example 1:
4.56
- 4 = Ones
- 5 = Tenths
- 6 = Hundredths
โ Example 2:
12.307
- 1 = Tens
- 2 = Ones
- 3 = Tenths
- 0 = Hundredths
- 7 = Thousandths
๐ฆ Key Rules to Remember
๐ธ Digits to the right of the decimal point show small parts of a whole
๐ธ Each step to the right รท 10
๐ธ Each step to the left ร 10
๐ธ Zero (0) in decimals has value depending on the place
Example:
0.40 โ 0.004
๐ญ Fun Tip to Learn Easily
๐ต T-H-H-T Song:
Tenths, Hundredths, Thousandths
(Say it like a rhythm to remember!)
Learn with an example
1) In 9.28, in which place is the 9?
- ten
- thshundredths
- ones
Remember the place values:
| ones | tenths | hundredths | |
| 9 | . | 2 | 8 |
The 9 is in the ones place.
2) In 0.2, which digit is in the ones place?
Remember the place values:
| ones | tenths | |
| 0 | . | 2 |
The 0 is in the ones place.
3) In 6,947.32, in which place is the 7?
- hundredths
- hundreds
- tenths
- ones
Remember the place values:
| thousands | hundreds | tens | ones | tenths | hundredths | ||
| 6 | 9 | 4 | 7 | . | 3 | 2 |
The 7 is in the ones place.
Let’s practice!

