The World of Numbers — Formula Sheet
CBSE · Class 9 · Mathematics
10 formulas from The World of Numbers (CBSE Class 9 Mathematics) on one page, grouped by topic. Part of the CBSE Class 9 Mathematics syllabus.
Interactive on Super Tutor
Studying The World of Numbers? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for formula sheet and more.
Free trial, no card needed.
Formulas and Key Relations
3. Zero and Integers
a + 0 = a; a - 0 = a; a × 0 = 0
5 + 4 = 9; (-5) + (-4) = -9; 7 - 0 = 7; -6 - 0 = -6; (-3) × 4 = -12; (-3) × (-4) = 12
4. Rational Numbers
a/b = c/d if ad = bc
a/b + c/b = (a+c)/b
a/b - c/b = (a-c)/b
a/b × c/d = ac/bd
a/b ÷ c/d = a/b × d/c = ad/bc
Zero and Integers
Brahmagupta defined zero as a - a = 0.
Zero obeys a + 0 = a, a – 0 = a, and a × 0 = 0.
Key relations
Integer rules include 5 + 4 = 9, (-5) + (-4) = -9, (-3) × 4 = -12, and (-3) × (-4) = 12.
Full sheet with units and worked examples
View AllFrequently Asked Questions
What are the important topics in The World of Numbers for CBSE Class 9 Mathematics?
How many formulas are in The World of Numbers?
How should I revise The World of Numbers for Class 9 exams?
Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for The World of Numbers
Practice Quiz
Test yourself with a quick quiz
Important Questions
Exam-style questions with answers
Revision Notes
Key points for last-minute revision
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Study Plan
Step-by-step plan for this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full The World of Numbers chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for CBSE Class 9 Mathematics. Free to start, no card needed.