Real Numbers
CBSE · Class 10 · Mathematics
Flashcards for Real Numbers — CBSE Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
Interactive on Super Tutor
Studying Real Numbers? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for flashcards and more.
1,000+ Class 10 students started this chapter today
This is just one of 6+ visuals inside Super Tutor's Real Numbers chapter
Explore the full setWhat is the Fundamental Theorem of Arithmetic?
Answer
Every composite number can be expressed (factorised) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur. For example: 12 = 2² × 3 (unique f…
State Euclid's Division Algorithm.
Answer
For any two positive integers a and b, there exist unique integers q and r such that a = bq + r, where 0 ≤ r < b. Here, a is the dividend, b is the divisor, q is the quotient, and r is the remainder.
What is a prime number?
Answer
A prime number is a natural number greater than 1 that has exactly two factors: 1 and itself. Examples: 2, 3, 5, 7, 11, 13, 17, 19, 23, etc. Note: 1 is not considered a prime number.
What is a composite number?
Answer
A composite number is a positive integer greater than 1 that has more than two factors. In other words, it can be expressed as a product of two or more prime numbers. Examples: 4, 6, 8, 9, 10, 12, 14,…
Find the prime factorisation of 60.
Answer
60 = 2² × 3 × 5 Step-by-step: 60 ÷ 2 = 30 30 ÷ 2 = 15 15 ÷ 3 = 5 5 ÷ 5 = 1 Therefore, 60 = 2² × 3 × 5…
How do you find HCF using prime factorisation?
Answer
HCF is the product of the lowest powers of all common prime factors. Example: For 18 = 2 × 3² and 24 = 2³ × 3, common factors are 2 and 3. HCF = 2¹ × 3¹ = 6 (taking lowest powers).
How do you find LCM using prime factorisation?
Answer
LCM is the product of the highest powers of all prime factors (common and uncommon). Example: For 18 = 2 × 3² and 24 = 2³ × 3, LCM = 2³ × 3² = 8 × 9 = 72 (taking highest powers).
What is the relationship between HCF and LCM for two numbers?
Answer
For any two positive integers a and b: HCF(a,b) × LCM(a,b) = a × b This relationship is very useful for finding one when the other is known.
+14 more flashcards available
Practice AllFrequently Asked Questions
What are the important topics in Real Numbers for CBSE Class 10 Mathematics?
How to score full marks in Real Numbers — CBSE Class 10 Mathematics?
How many flashcards are available for Real Numbers?
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 Real Numbers
Important Questions
Practice with board exam-style questions
Syllabus
What topics to cover
Revision Notes
Key points for last-minute revision
Study Plan
Step-by-step plan to ace this chapter
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Practice Quiz
Test yourself with a quick quiz
Concept Maps
See how topics connect visually
For serious students
Get the full Real Numbers chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for CBSE Class 10 Mathematics.