Decimal Fractions
ICSE · Class 5 · Mathematics
Complete topic list for Decimal Fractions in ICSE Class 5 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Decimal Fractions
Understanding Decimal Fractions
- A decimal fraction has a denominator of 10, 100, 1000, etc.
- It is written with a decimal point (.) separating the whole number and the fractional part.
- Digits after the decimal point are read one by one (e.g., 0.25 is 'zero point two five').
Place Value and Expanded Form
- Each digit in a decimal number has a place value: Thousands, Hundreds, Tens, Ones, Tenths, Hundredths, Thousandths.
- The decimal point separates the whole number part from the decimal part.
- Expanded form breaks down a decimal number into the sum of the value of each digit.
Types of Decimal Fractions
- Like decimals: Have the same number of digits after the decimal point.
- Unlike decimals: Have different number of digits after the decimal point.
- Equivalent decimals: Have the same value even if the number of digits differs (e.g., 0.5 = 0.50 = 0.500).
Comparing and Rounding Off Decimals
- To compare decimals, first compare the whole number part. If they are equal, compare the tenths, then hundredths, and so on.
- Rounding to nearest whole number: Look at tenths digit. If <5, keep whole number same; if ≥5, add 1.
- Rounding to nearest tenth: Look at hundredths digit. If <5, keep tenths digit same; if ≥5, add 1 to tenths digit.
Key Concepts
Central concept: Decimal Fractions
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