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Number System — Study Plan

NIOS · Class 10 · Maths

A step-by-step study plan for Number System, NIOS Class 10 Maths: what to learn first, what to practise and when to revise.

39 questions35 flashcards7 formulas & key relations5 concepts

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An infographic showing the nested relationship between Natural Numbers, Whole Numbers, Integers, Rational Numbers, and Real Numbers. Irrational Numbers are shown as a separate set within Real Numbers,
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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Natural Numbers, Whole Numbers, and Integers, 2. Rational Numbers and Standard Form, 3. Arithmetic Operations on Rational Numbers.

2
Day 3

Practise

Solve the textbook exercises and extra practice questions. There are 39 questions available for this chapter.

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Number System after a week. Use flashcards for quick recall and try past exam questions on this chapter.

What to Focus On

  • Natural numbers start from 1 and continue without end.
  • Whole numbers are natural numbers with 0 included.
  • Integers include negative numbers, 0, and positive numbers.
  • A rational number has the form p/q with q not equal to zero.
  • Standard form means denominator positive and numerator and denominator co-prime.
  • Lowest form and standard form mean the same thing here.
  • Same denominator: greater numerator means greater rational number.
  • Different denominators: convert to a common denominator first.
  • On the number line, the rational number to the right is greater.

Common Mistakes to Avoid

0 is a natural number.

Every subtraction or division of natural numbers gives a natural number.

Subtraction and division are commutative like addition and multiplication.

Memory Tips

Natural numbers

Whole numbers

Integers

Hierarchy of natural, whole, and integer sets

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Frequently Asked Questions

What are the important topics in Number System for NIOS Class 10 Maths?
Key topics in Number System include Natural Numbers, Whole Numbers, and Integers, Rational Numbers and Standard Form, Arithmetic Operations on Rational Numbers, Decimal Representation of Rational Numbers. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How should I revise Number System for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 39 practice questions on Number System. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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