REET Level 2 study notes
Number System - Integers and Rational Numbers
For REET Level 2, number system means knowing how natural numbers, whole numbers, integers and rational numbers are related, how they behave under operations, and how a teacher diagnoses learner errors with signs, zero, denominator 0 and the number line. The exam value lies in properties, examples, counterexamples and classroom response, not in advanced real-number theory.
Key points
- Natural numbers count from 1; whole numbers add 0; integers add negative numbers.
- A rational number is writable as p/q with integer p and q, and q not equal to 0.
- Integers are closed under addition, subtraction and multiplication, but not ordinary division.
- Rational numbers are closed under division only when the divisor is non-zero.
- Use the number line to compare negative numbers and locate fractions between integers.
- Teach properties through examples and counterexamples, not through chants.
- Mark authored classroom activities separately from verified RBSE or NCERT source claims.
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Study notes
Study focus
For REET Level 2, number system means knowing how natural numbers, whole numbers, integers and rational numbers are related, how they behave under operations, and how a teacher diagnoses learner errors with signs, zero, denominator 0 and the number line. The exam value lies in properties, examples, counterexamples and classroom response, not in advanced real-number theory.