NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.7

Mastering the final complexities of squares is simple with our NCERT Solutions for Class 8 Maths Ch 3: A Story of Numbers – Exercise 3.7. This exercise is designed to test your ability to synthesize all the methods learned—Repeated Subtraction, Prime Factorization, and Long Division—to solve non-routine problems. It also introduces the concept of finding square roots of non-perfect squares to a specific number of decimal places.

Class 8 Math Lessons (Ch 3): Learn to Solve Complex Square Root Applications with Ease! The solutions to Exercise 3.7 of Class 8 Maths will be presented in a step-by-step approach so as to give students a good understanding of how to handle values that do not result in whole numbers. The solutions are in accordance with the CBSE Guidelines so as to provide students with the best path available to improve their speed and accuracy in advanced arithmetic. Additionally, these solutions will aid students in building a solid foundation for Class 9, where the study of irrational numbers like $\sqrt{2},\sqrt{3},\text{ and }\sqrt{5}$ becomes a major topic.

1.0Download NCERT Solutions for Class 8 Maths Chapter 3 Ex 3.7 : Free PDF

Our easy-to-follow NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.7 are available for download as a PDF. Perfect for offline study and quick reference before exams.

2.0Key Concepts of Chapter 3 Exercise 3.7

• Square Roots to n Decimal Places: Using the division method and adding pairs of zeros to find the value of non-perfect squares like $\sqrt{2}or\sqrt{3}.$
• Pythagorean Triplet Verification: Confirming if a set of numbers satisfies the $2m,m^2-1,m^2+1$ condition for any given member.
• Geometric Word Problems: Calculating the radius of a circle from its area or the altitude of a triangle using square root logic.
• Rounding Off: Learning the correct rules to round off a square root to two or three decimal places.

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 3.7

• Conceptual Clarity: Shows how the number of zeros added after a decimal point determines the precision of the square root.
• Exam-Oriented: Covers the high-difficulty "area of paths" and "decimal roots" questions common in final terms.
• Logical Steps: Provides a structured way to handle non-integer remainders in the division method.
• Error Prevention: Teaches students to always calculate one decimal place extra to round off the final answer correctly.