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Formula Sheet

Number System — Formula Sheet

NIOS · Class 10 · Maths

7 formulas from Number System (NIOS Class 10 Maths) on one page, grouped by topic. Part of the NIOS Class 10 Maths syllabus.

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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7 Entries · 2 Sections

Formulas and Key Relations

2. Rational Numbers and Standard Form

p/q

(-p)/q = -(p/q)

(-p)/(-q) = p/q

Equivalent forms: multiply or divide numerator and denominator by the same non-zero number

4. Operations on Rational Numbers

p/q + r/q = (p + r)/q

p/q + r/s = (ps + rq)/(qs)

p/q × r/s = pr/qs

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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 many formulas are in Number System?
This sheet lists 7 formulas from Number System, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
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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All NIOS Class 10 Maths Formula Sheet

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