Real Numbers = Rationals + Irrationals
Every number on the line is real.
The real number system is the backbone of Class 9 Maths — every other chapter builds on it.
↳ N ⊂ W ⊂ Z ⊂ Q ⊂ R, and irrationals sit alongside Q inside R.
Kit Library / Mathematics / Algebra and Geometry
⚡ Topic Learning KitClass 9 Maths: Number Systems, Polynomials, Coordinate Geometry, Linear Equations, Euclid's Geometry & Lines and Angles
English 38 leveled MCQs 30 flashcards 9 games Free
Shared by a Veda learner · Generated with Veda AI
⚡ Veda Bites
💡 Key Idea
➗ Formula
⚙️ Process
The whole idea, one bite at a time
Veda Bites are swipeable micro-lessons — each one teaches exactly one idea. Here's a taste from this kit; the app has the full deck.
Laws of Exponents for Real Numbers
Same base? Just add the powers.
↳ These five laws let you simplify any expression with rational exponents.
Rationalising the Denominator
Kill the root at the bottom.
To remove a surd from a denominator, multiply numerator and denominator by its conjugate.
↳ Conjugate multiplication turns an irrational denominator into a rational one.
📖 Smart notes
What you'll study, topic by topic
1
Class 9 Maths: Number Systems, Polynomials, Coordinate Geometry, Linear Equations, Euclid's Geometry & Lines and Angles
This kit covers six foundational Class 9 Maths chapters: Number Systems (rational/irrational numbers, surds, laws of exponents), Polynomials (degree, factor & remainder theorems, identities), Coordinate Geometry (Cartesi…
- Real numbers = rational numbers + irrational numbers.
- A rational number can be written as $\frac{p}{q}$ with $q \neq 0$; an irrational number cannot.
- $\sqrt{2}, \sqrt{3}, \sqrt{5}, \pi$ are examples of irrational numbers.
~20 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
Try the smart MCQs from this kit
38 questions laddered from warm-up to topper-level, each with an explanation. A taste:
Which of the following is an irrational number?
Beginner
A $\sqrt{5}$
B $0.25$
C $\frac{3}{4}$
D $-7$
Show answer & explanation
$\sqrt{5}$
$\sqrt{5}$ cannot be written as $\frac{p}{q}$ with integers $p, q$ and $q \neq 0$, so it is irrational. The others are rational.
The degree of the polynomial $4x^3 - 2x^2 + 7x - 1$ is:
Beginner
A 3
B 4
C 2
D 1
Show answer & explanation
3
The degree is the highest power of the variable, which is $3$ here.
In the ordered pair $(7, -2)$, the abscissa is:
Beginner
A $0$
B $5$
C $-2$
D $7$
Show answer & explanation
$7$
In $(x, y)$, $x$ is the abscissa. So the abscissa is $7$.
Two angles that add up to $90^\circ$ are called:
Beginner
A Supplementary angles
B Complementary angles
C Vertically opposite angles
D Reflex angles
Show answer & explanation
Complementary angles
Complementary angles sum to $90^\circ$; supplementary angles sum to $180^\circ$.
🃏 Flashcards
Tap a card to flip it
30 flashcards in this kit — the app reviews them with spaced repetition so the right card returns on the right day.
🎮 Learning games
Play your way through this kit
Every game is built from this kit's own content — scores feed your mastery, so playing counts as studying.
Word Match
True False
Memory Match
Flashcard Battle
Speed Quiz
Guess Term
Sequence Builder
Categorization
Revision Battle
Playable in the app
Study it properly — free, in the app
The full Veda Bites deck, complete notes, spaced-repetition flashcards, leveled MCQs, tests and games for this kit — plus Daily Facts and the Arena, every day.