Q1
What is a rational number?
AA number written as p/q
BOnly a whole number
COnly a negative number
DA number with no fraction form
ICSEClass 8 (ICSE)MathematicsCh 1 · Topic 1
Rational Numbers
Rational numbers, written as p/q, include positive and negative fractions, and we perform operations on them following specific number prope
Core concept
Rational numbers can be represented on a number line and compared, added, subtracted, multiplied, or divided using fraction rules.
How it works
The properties of rational numbers include closure (operations stay within rational numbers), commutativity, and associativity for addition and multiplication.
Why it matters
The additive identity is 0 (a number plus 0 equals itself), and the multiplicative identity is 1 (a number times 1 equals itself).
Key detail
Understanding these properties helps us manipulate rational numbers correctly and solve more complex mathematical problems.
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• Rational numbers are written as p/q.
• They include positive and negative fractions.
• We can add, subtract, multiply, divide them.
• Closure means operations stay within rational numbers.
• Commutativity and associativity apply to addition/multiplication.
• Additive identity is 0.
• Multiplicative identity is 1.
• These properties help solve complex problems.