Q1
What is a rational number?
AA number written as p/q, q≠0
BOnly a whole number
COnly a negative number
DA number with no fraction form
ICSEClass 7 (ICSE)MathematicsCh 2 · Topic 1
Rational Numbers
A rational number is any number that can be written as a fraction p/q, where p and q are integers and q is not zero.
Core concept
Rational numbers include whole numbers, fractions, and terminating or repeating decimals, since all can be written as p/q.
How it works
We can add, subtract, multiply, and divide rational numbers using similar rules to fractions, finding common denominators when needed.
Why it matters
Rational numbers can be represented on a number line, showing their position relative to other numbers, including negatives.
Key detail
Understanding rational numbers helps us work with a wide range of numbers encountered in everyday calculations and measurements.
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Quick notes
• A rational number is written as p/q, q≠0.
• This includes whole numbers, fractions and decimals.
• We add/subtract using common denominators.
• We multiply and divide similar to fractions.
• Rational numbers can be positive or negative.
• They can be shown on a number line.
• Rational numbers are widely used in calculations.
• Understanding them builds strong number sense.