Concept 9 of 11Foundation
Watch on YouTubeVideoDecimal fractions — another name for tenths, hundredths…
A decimal is just another way to write a fraction whose denominator is a power of 10.
- 0.1 = 1/10 (one tenth)
- 0.01 = 1/100 (one hundredth)
- 0.001 = 1/1000 (one thousandth)
- 0.25 = 25/100 = 1/4
- 0.75 = 75/100 = 3/4
The DECIMAL POINT separates the whole number from the fractional part. Place value continues after the point: tenths, hundredths, thousandths.
Like fractions, decimals can be compared, added, subtracted, multiplied, and divided. Money and measurements are usually in decimals.
Example
3.425 = 3 + 4/10 + 2/100 + 5/1000.
Convert 0.6 to fraction: 6/10 = 3/5.
Convert 5/8 to decimal: 5 ÷ 8 = 0.625.
Compare 0.7 and 0.75: add a zero to 0.7 → 0.70; now 0.75 > 0.70.
Convert 0.6 to fraction: 6/10 = 3/5.
Convert 5/8 to decimal: 5 ÷ 8 = 0.625.
Compare 0.7 and 0.75: add a zero to 0.7 → 0.70; now 0.75 > 0.70.
💡 Tip:To compare decimals, make the number of decimal places EQUAL first by adding zeros.
▶Prefer a video? Open YouTube search for “decimal fractions class 6”↗🎯 Try it!
5 questions to check what you just read.
0 / 5
- Q1.0.7 as a fraction:
- Q2.0.25 as a fraction in simplest form:
- Q3.3/5 as a decimal:
- Q4.Compare 0.4 and 0.40:
- Q5.Tenths digit of 12.375: