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Class 8MathematicsRational Numbers

Properties of Rational Numbers

Closure: sum/product of two rationals is always rational. Commutative: a+b=b+a, aร—b=bร—a. Associative: (a+b)+c=a+(b+c). Distributive: a(b+c)=ab+ac. Additive identity: 0 (a+0=a). Multiplicative identity: 1 (aร—1=a). Additive inverse of p/q is -p/q. Multiplicative inverse (reciprocal) of p/q is q/p.

10 examples

Concept check 1
For Class 8 Mathematics, explain or solve a properties of rational numbers question from the chapter "Rational Numbers". Focus on concept check and show the working clearly.
Definition to application 2
For Class 8 Mathematics, explain or solve a properties of rational numbers question from the chapter "Rational Numbers". Focus on definition to application and show the working clearly.
Formula warm-up 3
For Class 8 Mathematics, explain or solve a properties of rational numbers question from the chapter "Rational Numbers". Focus on formula warm-up and show the working clearly.
Reasoning practice 4
For Class 8 Mathematics, explain or solve a properties of rational numbers question from the chapter "Rational Numbers". Focus on reasoning practice and show the working clearly.
Board-style short answer 5
For Class 8 Mathematics, explain or solve a properties of rational numbers question from the chapter "Rational Numbers". Focus on board-style short answer and show the working clearly.
Mistake correction 6
For Class 8 Mathematics, explain or solve a properties of rational numbers question from the chapter "Rational Numbers". Focus on mistake correction and show the working clearly.
Visual interpretation 7
For Class 8 Mathematics, explain or solve a properties of rational numbers question from the chapter "Rational Numbers". Focus on visual interpretation and show the working clearly.
Applied word problem 8
For Class 8 Mathematics, explain or solve a properties of rational numbers question from the chapter "Rational Numbers". Focus on applied word problem and show the working clearly.
Revision challenge 9
For Class 8 Mathematics, explain or solve a properties of rational numbers question from the chapter "Rational Numbers". Focus on revision challenge and show the working clearly.
Exam recap 10
For Class 8 Mathematics, explain or solve a properties of rational numbers question from the chapter "Rational Numbers". Focus on exam recap and show the working clearly.
Properties of Rational Numbers โ€” Rational Numbers Class 8 Mathematics | MscTutor