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Number System

NIOS · Class 10 · Maths

Step-by-step guide to study Number System in NIOS Class 10 Maths. Topics to cover, practice strategy, and time allocation.

39 questions35 flashcards5 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 concepts.

2
Day 3

Practice Problems

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

3
Day 4

Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.

4
Day 7

Spaced Revision

Revisit Number System after a week. Use flashcards for quick recall. Solve previous year questions from 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 Number System Hierarchy, Complete Number System Overview, Number System Hierarchy. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Number System — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 39 practice questions available for this chapter. Revise formulas and 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.

More resources for Number System

All 26 chapters — NIOS Class 10 Maths Study Plan

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