NCERT Solutions Class 8 Maths Chapter 1 A Square and a Cube – Exercise 1.1

Become proficient in the basics of perfect squares and square roots by using the NCERT Solutions for Class 8 Mathematics Chapter 1 - A Square and A Cube - Exercise 1.1. The goal of the exercise is to learn how to determine whether a number is a square number, understand the ways in which numbers behave, and apply prime factorisation to find out if a number is a perfect square. The first chapter of Class VIII Mathematics will enable students to identify patterns in numbers, including patterns involving numbers ending in certain digits, relationships among odd numbers, and their connections to the sums of squares.

Step-by-step solutions for Exercise 1.1 equip students with a process for establishing a strong logical framework that supports accurate calculation and clear understanding of concepts. The step-by-step solutions are based on the current CBSE syllabus which means they can be used as references for homework help and exam preparation. These solutions can also help you determine what the smallest number you can multiply to produce a perfect square is or find square patterns. The detailed explanations will make complex arithmetic simple. Use these solutions to enhance your confidence and achieve high grades in your mathematics assessments.

1.0Download Class 8 Maths Chapter 1 Ex 1.1 NCERT Solutions PDF

Access our easy-to-understand NCERT Solutions for Class 8 Maths Chapter 1 Exercise 1.1 as a downloadable PDF. This allow you to study offline and reference the material whenever needed.

2.0Key Concepts of Chapter 1 A Square and a Cube Exercise 1.1

• Characteristics of Square Numbers: recognize that square numbers will always have a 0, 1, 4, 5, 6, or 9 digit at the end. 
• Prime Factorization: Take a number, break it down to its prime factors and check for pairs. 
• Finding the Lowest Common Multiple of Perfect Squares: Find the smallest number by which you can multiply or divide a number to create a perfect square. 
• Patterns Among Squares: The squares of both odd and even numbers will show the same number of zeros at the end of their squares.

3.0NCERT Solutions for Class 8 Maths Chapter 1 A Square and a Cube : All Exercises

4.0CBSE Class 8 Chapter 1 Exercise 1.1 Comprises

• Determining Perfect Squares’ Identity: To determine whether a number is a perfect square, students need to look at the unit digit of the given number and apply prime factorisation techniques.
• Mathematical Operations Related to Perfect Squares: To solve problems that involve determining a number to multiply or divide by a number other than a perfect square so that the result is a perfect square.
• Understanding Unit Digit Patterns: Predicting what the last digit will be of a square or of any number without doing the complete multiplication (e.g. any number whose last digit is 3 will have its square's last digit be 9).

5.0Key Features and Benefits of : NCERT Solutions Class 8 Maths Chapter 1 Exercise 1.1

• Organized Logic - A step-by-step approach to discovering prime factors.
• Pattern Perception - Provides an opportunity for children to learn about square properties and develop patterns.
• Conformity to CBSE - Adheres strictly to current methodologies and language established by the CBSE in regards to Grade Level Description.
• Fast Calculation - Will allow for faster identification of non-squares, thus saving time.