Place values in decimal numbers

key notes :

โœจ Place Values in Decimal Numbers

๐Ÿ”น What are Decimal Numbers?

  • Decimal numbers are numbers that have a dot (.) called a decimal point.
    Example: 3.45, 12.7, 0.89

๐Ÿ“ Decimal Point

  • The decimal point separates:
    โœ… Whole number part (left side)
    โœ… Decimal part (right side)

Example:
7.32 โ†’ 7 = whole part, 32 = decimal part


๐Ÿ“Š Place Value Chart for Decimals

ThousandsHundredsTensOnes.TenthsHundredthsThousandths
1,000100101.1/101/1001/1000

๐Ÿ”ต Place Values After Decimal Point

Each place becomes 10 times smaller as we move right โžก๏ธ

Place ValueNameFraction FormExample
1st place after decimalTenths (โ‚โ„โ‚โ‚€)0.1 = 1/105.3 โ†’ 3 is tenths
2nd place after decimalHundredths (โ‚โ„โ‚โ‚€โ‚€)0.01 = 1/1005.38 โ†’ 8 is hundredths
3rd place after decimalThousandths (โ‚โ„โ‚โ‚€โ‚€โ‚€)0.001 = 1/10005.386 โ†’ 6 is thousandths

๐Ÿงฎ Examples

โœ… Example 1:

4.56

  • 4 = Ones
  • 5 = Tenths
  • 6 = Hundredths

โœ… Example 2:

12.307

  • 1 = Tens
  • 2 = Ones
  • 3 = Tenths
  • 0 = Hundredths
  • 7 = Thousandths

๐Ÿšฆ Key Rules to Remember

๐Ÿ”ธ Digits to the right of the decimal point show small parts of a whole
๐Ÿ”ธ Each step to the right รท 10
๐Ÿ”ธ Each step to the left ร— 10
๐Ÿ”ธ Zero (0) in decimals has value depending on the place
Example:
0.40 โ‰  0.004


๐Ÿญ Fun Tip to Learn Easily

๐ŸŽต 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?

  1. ten
  2. thshundredths
  3. ones

Remember the place values:

ones tenthshundredths
9.28

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:

thousandshundredstensones tenthshundredths
6947.32

The 7 is in the ones place.

Let’s practice!