MathematicsClass 7Fractions and Decimals
Decimal Representation
Understanding place value in decimals and converting between fractions and decimals.
Class 7 · MathematicsCBSE & ICSE
Definition
Decimal representation is a way of writing fractions whose denominators are powers of 10, such as 10, 100, 1000. It uses a decimal point to separate the whole number part from the fractional part. Each digit to the right of the decimal point represents tenths, hundredths, thousandths, and so on.
Key formula
Fraction a/10^n = Decimal representation
Worked examples
1
Express 3/10 as a decimal: 0.3
2
Express 45/100 as a decimal: 0.45
3
Express 2 and 7/10 as a decimal: 2.7
Common mistakes
- • Confusing place values, such as writing 3/100 as 0.3 instead of 0.03.
- • Misplacing the decimal point when converting fractions that do not have 10 as a denominator.