Decimal Fractions — Revision Notes
ICSE · Class 6 · Mathematics
Decimal Fractions revision notes for ICSE Class 6 Mathematics: 4 topics in quick points. Part of the ICSE Class 6 Mathematics syllabus.
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Key Topics to Revise
1. Understanding Decimal Fractions
- A decimal fraction is a fraction whose denominator is 10 or a power of 10 (like 100, 1000, etc.).
- Instead of writing the denominator, we use a decimal point to show the value.
- For example: $\frac{7}{10} = 0.7$, $\frac{25}{100} = 0.25$
2. Like and Unlike Decimal Numbers
- Like decimals have the same number of decimal places.
- Unlike decimals have different numbers of decimal places.
- Unlike decimals can be converted into like decimals by adding zeros at the end of the decimal part.
3. Converting Fractions to Decimals
- If the denominator is 10, 100, 1000, etc., count the zeros and place the decimal point accordingly.
- If the denominator is not a power of 10, multiply numerator and denominator by a suitable number to make it so.
- Example: $\frac{3}{4} = \frac{3 \times 25}{4 \times 25} = \frac{75}{100} = 0.75$
4. Arithmetic Operations with Decimals
- Always convert unlike decimals to like decimals before addition or subtraction.
- Line up decimal points vertically during addition and subtraction.
- In multiplication, total decimal places in answer = sum of decimal places in both numbers.
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