NCERT Class 10 Maths Chapter 1 Real Numbers Notes

Mathematics can be both fantastic and challenging at the same time. Specially in class 10 when students have to give board paper. So our NCERT class 10 Mathematics Chapter 1 Real Numbers notes will provide conceptual clarity to the students. It will work like a bridge for students between class room theory lecture and solving exercise at home.

These Class 10 Chapter 1 Real Numbers Notes is a masterstroke for students who want to pursue a career in science, like becoming an engineer, scientist etc. Most of the concept given in class 11 maths have already been introduced in class 10 maths. So these notes are also the foundation of class 11 math.

NCERT Class 10 Maths Chapter 1 Real Numbers Notes

Chapter 2: Polynomials Notes

Below we have also given most important topics of NCERT Class 10 Mathematics chapter 1 Real Number Notes. Students should revise these notes regularly to remember the chapter properly.

Important Topics of Real Number

Relationship between HCF and LCM of two numbers:

Ifaandbaretwopositiveintegers,thenHCF (a, b)×LCM (a, b)=a×bIf \text{a} and \text{b} are two positive integers, then \text{HCF (a, b)} \times \text{LCM (a, b)} = \text{a} \times \text{b}

Relationship between HCF and LCM of three numbers:

LCM (p, q, r)=p⋅q⋅r⋅HCF (p, q, r)HCF (p, q)⋅HCF (q, r)⋅HCF (p, r)\text{LCM (p, q, r)} = \frac{\text{p} \cdot \text{q} \cdot \text{r} \cdot \text{HCF (p, q, r)}}{\text{HCF (p, q)} \cdot \text{HCF (q, r)} \cdot \text{HCF (p, r)}}
HCF (p, q, r)=p⋅q⋅r⋅LCM (p, q, r)LCM (p, q)⋅LCM (q, r)⋅LCM (p, r)\text{HCF (p, q, r)} = \frac{\text{p} \cdot \text{q} \cdot \text{r} \cdot \text{LCM (p, q, r)}}{\text{LCM (p, q)} \cdot \text{LCM (q, r)} \cdot \text{LCM (p, r)}}

Method of Finding LCM

In Mathematics, the LCM of any two is the value that is evenly divisible by the two given numbers. The full form of LCM is Least Common Multiple. It is also called the Least Common Divisor (LCD). For example, LCM (4, 5) = 20. Here, the LCM 20 is divisible by both 4 and 5 such that 4 and 5 are called the divisors of 20.

LCM is also used to add or subtract any two fractions when the denominators of the fractions are different. While performing any arithmetic operations such as addition, subtraction with fractions, LCM is used to make the denominators common. This process makes the simplification process easier.

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers.

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