Q1
What is a rational number?
AExpressible as p/q, q≠0
BNever expressible as a fraction
COnly whole numbers
DOnly negative numbers
SSCClass 9 (SSC)Mathematics - Algebra (बीजगणित)Ch 2 · Topic 1
Real Numbers
Real numbers include rational and irrational numbers, forming a complete number system used for most everyday mathematical calculations.
Core concept
Rational numbers can be expressed as a fraction p/q (q≠0), including integers, fractions, and terminating or repeating decimals.
How it works
Irrational numbers cannot be expressed as a simple fraction, having non-terminating, non-repeating decimals, like √2 or π.
Why it matters
Real numbers can be represented on a number line, with every point corresponding to a unique real number.
Key detail
Understanding real numbers and their properties is essential for algebra, geometry, and higher-level mathematics.
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• Rational numbers: expressible as p/q, q≠0.
• Includes integers, fractions, terminating decimals.
• Irrational numbers: not expressible as fraction.
• Non-terminating, non-repeating decimals.
• Examples: √2, π.
• Real numbers represented on number line.
• Every point = unique real number.
• This is foundation for algebra, geometry.