NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.1

For you to be able to become an expert in identifying all square numbers, our Class 8-Math NCERT Solutions Exercise 3.1: A Story of the Numbers makes it easy by providing detailed solutions to all exercises and all topics that are included in Chapter 3. This chapter is centered around "The Properties of Squares & Square Roots." The exercises in Exercise 3.1 contain examples of perfect squares, the relationships between numbers and their unit's digits, and all of the key characteristics that define square numbers.

Our Class 8-Math Lesson (Chapter 3): Learning to Identify Square Numbers Quickly! The solutions to Exercise 3.1 of the Class 8-Math Exercise will help you identify perfect squares with minimal effort. The solutions provided will meet all requirements specified by the CBSE guidelines and allow students to learn how to reduce the complexity of mathematical calculations and improve speed and accuracy when working on more complex topics such as Pythagorean theorem and area-based calculations.

1.0Download Class 8 Maths Chapter 3 Ex 3.1 NCERT Solutions PDF

Our easy-to-follow NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.1 are available for download as a PDF. Perfect for offline study and quick reference before exams.

2.0Key Concepts of Chapter 3 Exercise 3.1

• Been there done that: Perfect square means a square number is the same as multiplying an integer by itself ($n\times n=n^2$).
• Unit digits of squares: We only see unit digits of a perfect square that ends in 0, 1, 4, 5, 6 and 9.
• Numbers that are not perfect squares: If a number ends with 2,3 7 or 8, then that number can never be a perfect square.
• Zer0s in perfect squares: Every perfect square will have an ever number of zeros at the end.
• Properties of odd/even perfect squares: The perfect square of an even integer is always even, and the perfect square of an odd integer is always odd.
• Finding the last digit of a perfect square: To determine the last digit of a large perfect square, just look at the last digit of the original number! The last digit of the new number will be the same as the last digit of the original number.

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 3.1

• Defining Concepts: Complete understanding of "the ending digit rule" with a thorough explanation.
• Exam Oriented: Include logic-based questions which can be expected for both the one-mark questions and the two-mark questions.
• Logical Step: Each step indicates either the rule or property being used to calculate the answer.
• Prevention of Incorrectness: Explanation of what would happen if you ignore that "numbers not ending in 0 cannot always be perfect squares (except for cases when the last two digits end in zero)."