Decimal Fractions
ICSE · Class 7 · Mathematics
Quick revision notes for Decimal Fractions — ICSE Class 7 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
1. Meaning of Decimal Fractions
- A decimal fraction is a fraction whose denominator can be expressed as 10 or some higher power of 10.
- A decimal point is used to show the absence of the written denominator.
- If there is no number to the left of the decimal point, a zero is generally written.
2. Place Value and Decimal Places
- The first place to the right of the decimal point is the tenths' place.
- The second place to the right of the decimal point is the hundredths' place.
- The number of figures following the decimal point is called the number of decimal places.
3. Converting Between Fractions and Decimals
- To convert a decimal to a fraction, remove the decimal point and write as many zeroes in the denominator as digits in the decimal part, then simplify.
- To convert a fraction with denominator 10, 100, 1000, and so on into a decimal, place the decimal point after as many digits of the numerator from the right as there are zeroes in the denominator.
- If the denominator is not 10, 100, 1000, and so on, divide normally and place the decimal point in the quotient after the unit digit division is completed.
4. Addition and Subtraction of Decimals
- In addition and subtraction, decimal points must be written in the same vertical line.
- Digits with the same place value must be arranged one below the other.
- Empty places may be filled with zeroes.
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