## Real Numbers Formulas for Class 10 CBSE Maths

## FAQs on CBSE Maths Chapter 1 Real Numbers Formulas for Class 10

1. What are the important Real Numbers formulas for Class 10?

1. Euclid’s Division Lemma: For positive integers a and b, there are whole numbers m and n such that a = bm + n, where 0 ≤ n < b.

2. Euclid’s Division Algorithm: Based on Euclid’s division lemma, it finds the Highest Common Factor (HCF) of positive integers a and b.

Apply division lemma to find m and n: a = bm + n, where 0 ≤ n < b.

If n = 0, HCF is b. If n ≠ 0, apply Euclid’s lemma to b and n.

Repeat until remainder is zero; the divisor is HCF of (a, b). HCF(a, b) = HCF(b, n).

3. Prime Divisibility: If 'x' is a prime number and 'x' divides a², then 'x' divides 'a', where 'x' is a positive integer.

2. Why is it Important to Solve Problems Related to Real Number Formulas for Class 10?

Solving these problems helps understand essential concepts with applications in arithmetic.

Examples include proving irrationality using the Fundamental Theorem of Arithmetic and determining termination of decimal expansion in rational numbers.

3. What are Important Concepts Covered under class 10 maths chapter 1 formula on Real Numbers?

Properties of real numbers.

Equation for Euclid's Lemma and its proof.

Fundamental Theorem of Arithmetic.

Finding HCF and LCM via Prime Factorization Method.

4. How Many Formulas are There in Real Numbers Formulas for Class 10?

There are three primary formulas covering properties and theorems of real numbers, applicable in various mathematical levels.

5. How can I Memorize chapter 1 maths class 10 formula on Real Numbers?

Read notes in the textbook to understand the formula concept.

Write down the formula multiple times with explanations for better understanding.

Save formula images on devices for quick revision.

By mastering these formulas, students not only solve class 10 questions effectively but also build a foundation for advanced mathematics