In the fascinating realm of mathematics, the study of real numbers serves as the cornerstone for a myriad of mathematical concepts and applications. As we embark on Chapter 1 of the CBSE Class 10 Mathematics curriculum, we delve into the world of "Real Numbers," a fundamental and integral part of mathematical understanding.
Class 10 Mathematics (CBSE NCERT) - Chapter 1 Real Numbers
Real numbers encompass rational and irrational numbers, each holding unique properties that contribute to the vast tapestry of mathematical knowledge. This chapter unfolds with an exploration of rational numbers, offering insights into their properties, operations, and applications.
As we navigate through the realm of real numbers, we pave the way for a deeper understanding of mathematical principles that extend far beyond the confines of this introductory chapter, setting the stage for a comprehensive and enriching mathematical journey in Class 10.
CBSE Class 10 NCERT Mathematics Topics for a Strong Foundation (NCERT DOWNLOAD)
|Chapter Name||Real Number|
|1.1||Real Number - Introduction|
|1.2||The Fundamental Theorem of Arithmetic|
|1.3||Revisiting Irrational Numbers|
Here, students are introduced to several important concepts that will be useful for those who wish to pursue mathematics
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CBSE Class 10 Board Exam Sample Paper
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Chapter 2: Polynomials
Chapter 3: Pair of Linear Equations in Two Variables
Chapter 4: Quadratic Equations
Chapter 5: Arithmetic Progressions
Chapter 6: Triangles
Chapter 7: Coordinate Geometry
Chapter 8: Introduction to Trigonometry
Chapter 9: Some Applications of Trigonometry
Chapter 10: Circles
Chapter 11: Areas Related to Circles
Chapter 12: Surface Areas and Volumes
Chapter 13: Statistics
Chapter 14: Probability
Q1 What are Real Numbers?
Ans: Real numbers include all rational and irrational numbers. They can be positive, negative, or zero. Examples include integers, fractions, decimals, and square roots.
Q2 How do I differentiate between Rational and Irrational Numbers?
Ans: Rational numbers can be expressed as fractions, where the numerator and denominator are integers. Irrational numbers, on the other hand, cannot be expressed as fractions and have non-terminating, non-repeating decimals.
Q3 What is the Fundamental Theorem of Arithmetic?
Ans: The Fundamental Theorem of Arithmetic states that every composite number can be expressed uniquely as a product of prime numbers, up to the order of the factors
Q4 How do I find the HCF (Highest Common Factor) and LCM (Least Common Multiple) of two or more numbers?
Ans: To find the HCF, list the prime factors of each number and multiply the common factors. For LCM, list the prime factors and multiply each factor the greatest number of times it occurs in any of the numbers.
Q5 What is the Euclidean Algorithm?
Ans: The Euclidean Algorithm is a method to find the HCF of two numbers. It involves successive division using Euclid's Division Lemma until the remainder becomes zero. The divisor at this point is the HCF.