NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.2

The NCERT Solutions for Class 8 Maths Ch 3: A Story of Numbers - Exercise 3.2: A Story of Squares is a straightforward way to develop mathematical relationships between squares. In this exercise, students investigate the special properties of square numbers, including the relationship between the form of a particular square number and the numbers that are between two square numbers.

The NCERT Solutions to Exercise 3.2 in Class 8 Maths enable students to easily understand square patterns and how to find square patterns quickly and efficiently by providing an easy-to-follow step-by-step explanation of solving square number problems. The solutions conform to the CBSE guidelines for Class 8 Maths, which have been developed with a specific goal in mind - increasing the speed and accuracy of students in performing mathematical calculations. These solutions also help students create a solid foundation for future studies in the area of arithmetic series and algebraic identities, such as factoring, distributive property, and simplifying expressions.

1.0Download Class 8 Maths Chapter 3 Ex 3.2 NCERT Solutions PDF

Our easy-to-follow NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.2 are available for download as a PDF. Perfect for offline study and quick reference before exams.

2.0Key Concepts of Chapter 3 Exercise 3.2

• Numbers Between Squares: Finding the number of non-perfect square numbers between $n^{2}and(n+1{)}^2$ using the formula 2n.
• Sum of First 'n' Odd Numbers: Understanding that the sum of the first n consecutive odd natural numbers is exactly $n^2$.
• Expressing Squares as Sums: Learning how to write a square number as the sum of two consecutive integers using the formula $\frac{n^2-1}{2}and\frac{n^2+1}{2}$ (for odd n).
• Pythagorean Triplets: Identifying sets of three numbers a, b, and c such that $a^2+b^2=c^2$.

3.0NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers : All Exercises

4.0Benefits of NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.2

• Definition Clarity - The system clarifies how to calculate the values of two squares with no squaring needed.
• Test Taking Strategy - The program revolves around the property of addition and the triplets as these two subjects are highly tested on standardized tests.
• Logical Steps - Each calculation in this system provides clear descriptions of the formulas used to create the solution.
• Error Identification - Students learn how to define 'm' within the Pythagorean triplet through this system.