Rational Numbers

LO-8-MATH-01-01LO-8-MATH-01-02LO-8-MATH-01-03LO-8-MATH-01-04LO-8-MATH-01-05 D-8-MATH-01 · DIKSHA

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Rational Numbers: Number Line & Standard Form

14:48129.8 MB stream Slides — Rational Numbers

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Uploaded by Ms. Anita Sharma (Faculty) · Faculty lecture

Rational Numbers — lecture 1

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Uploaded by Ms. Anita Sharma · Faculty lecture

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Rational Numbers — Formula & Properties Cheat Sheet

Faculty Verifiedrank score 37.7

by Ravi VermaFacultyText

Verified cheat sheet (faculty).

Definition: p/q, p, q integers, q ≠ 0.
Standard form: positive denominator; co-prime numerator & denominator.

Key identities:
• Additive inverse: −a (a + (−a) = 0)
• Multiplicative identity: 1
• Reciprocal: q/p (does not exist for 0)

Properties: closure, commutativity (add & multiply), associativity (add & multiply), distributivity, every non-zero rational has a reciprocal, 0 is the additive identity.
NOT commutative: subtraction & division.

Between any two rationals → infinitely many rationals (use the mean!).

Number Line Practice Set with Step-by-Step

rank score 2.8

by Ishita RoyText

How to plot a/b:
1. Draw the line, mark 0 and 1.
2. For negatives use the left side; for >1 mark whole numbers first (11/4 → between 2 and 3).
3. Divide the unit interval into |q| equal parts.
4. Count |p| parts from the anchor (0 or the whole number).

Try: 4/5, −7/4, 9/2, 2/3. Mean trick: the mean of a/b and c/d is always between them: (a/b + c/d)/2.

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