NCERT Solutions for Complex Numbers and Quadratic Equations Exercise 5.3 Class 11 Maths

September 13, 202239 Insightful Publications

**NCERT Exercise 11.3 Class 6 Maths Solutions: **NCERT solutions for algebra exercise 11.3 Class 6 Maths teaches students several problem-solving methods. The NCERT solutions are prepared by subject experts at Embibe to help students score higher marks in their exams. The solutions are detailed and easily understandable by a Class 6th student. Students can improve their mathematical skills by practising from the NCERT textbooks.

The purpose of preparing NCERT exercise 11.3 Class 6 Maths solutions is to assist students in gaining knowledge of the chapter – Algebra. By using solutions prepared by qualified teachers, students can enhance their speed in solving problems from the NCERT textbook. These NCERT solutions can provide students with various tips and tricks to answer the questions in the textbooks. These step-by-step solutions will help students with their homework as well. Read on to learn more NCERT exercise 11.3 Class 6 Maths solutions in detail.

NCERT exercise 11.3 Class 6 Maths solutions focuses into the fundamentals of algebra. The matchsticks pattern helps in the explanation of algebraic concepts. Matchsticks are used to create a variety of patterns. Students can grasp the concept of variables by using these. Students can use variables to express common rules in geometry and arithmetic. Students will find the chapter more fascinating because of the thorough solutions.

Before jumping into more details, let us have an overview of NCERT solutions for exercise 11.3 Class 6 Maths:

Class | CBSE Class 6 |

Book Name | NCERT Class 6 Maths |

Solutions | Exercise 11.3 Class 6 Maths Solutions |

Available on | Embibe |

Price | Free |

NCERT solutions for algebra exercise 11.3 Class 6 Maths is an excellent resource for students who want to improve their algebra skills. Students will grasp the application of algebra in numerous expressions once they have completed this exercise. NCERT exercise 11.3 Class 6 Maths will assist students in their understanding of advanced mathematics. Students are advised to practice this exercise before jumping onto another exercises.

Embibe provides free NCERT solutions to all the students to help them understand the basic concepts of algebra. Students will gain a better understanding while solving these in-text exercises, helping them achieve higher grades. Below we have provided a free PDF link for Class 6 students so that they can download it to study offline:

**Q.1. Make up as many expressions with numbers (no variables) as you can from three numbers 5,7 and 8. Every number shouldbe used not more than once. Use only addition, subtraction and multiplication.Solution: **Given, only addition, subtraction and multiplication must be used.

By using associativity property of numbers, we get,

The expressions can be:

Expressions using number operations with addition and subtraction operators: 5+(8-7)

Expressions using number operations with subtraction and addition operators: 5-(7+8)

Expressions using number operations with multiplication and subtraction operators: 8×5-7

Expressions using number operations with multiplication and addition operators: 8×7+5

Expressions using number operations with subtraction and multiplication operators: 8-5×7

Expressions using number operations with addition and multiplication operators: 5+7×8

Expressions using number operations with multiplication and addition operators: 5×7+8

Expressions using number operations with addition and subtraction operators: 8+7-5

And, 5+7+8, 5×7×8, 5-7-8, 7-8-5, 8-7-5 are other expressions that can be formed by addition, subtraction and

multiplication only.

Hence, the above given are the expressions with numbers which we can form from the given three numbers.

**Q.2. Check whether the expression with numbers only.y+3**

**Solution:** Given, y is added to 3.

Variable does not have a fixed value whereas numbers(constants) has fixed value.

That is, it has a variable y. Hence, it is not an expression with numbers only.

**Q.3. Check the following expression with numbers only or not.7×20–8z**

**Solution:** Given: 7×20–8z

Variable does not have a fixed value whereas numbers(constants) has fixed value.

In the given expression it has a variable ‘ z ’ Hence, it is not an expression with numbers only.

**Q.4. Check the following expression is with numbers only or not.521–7+7×2**

**Solution:** Given:

521–7+7×2

Variable does not have a fixed value whereas numbers(constants) has fixed value. There are no variables in the

given expression and three arithmetic operations are performed. Hence, it is an expression with numbers only.

DOWNLOAD NCERT EXERCISE 11.3 CLASS 6 MATHS SOLUTIONS

Questions dealing with expressions in the form of variables appear in the NCERT solutions for Class 6 Mathematics chapter 11 exercise 11.3 algebra. This exercise consists of six easy questions divided into subparts. The first problem asks students to create expressions using only numbers, whereas the rest of the questions require them to use both numbers and variables. When addressing these problems, keep in mind that all variables are numbers, even if they have different values, and that the same arithmetic rules that apply to numbers can also be applied to variables.

Furthermore, unlike expressions with variables, expressions containing simply integers can be evaluated instantaneously. Students can profit from NCERT solutions for exercise 11.3 Class 6 Maths by developing the abilities needed to learn algebra. The concept of expressions serves as a foundation for using variables correctly in equations and formulae. Students must complete all of the examples in the chapter so that they understand how to use variables in a specific equation. Before moving on to the next exercise, kids should practice exercise 11.3 Class 6 Maths well.

NCERT solutions for Chapter 11 of Maths for Class 6 algebra introduces variables (or letters) in addition to numbers. Algebra plays an important role in Mathematics because it is a requirement for advanced Mathematics and a crucial subject to examine. Up to this point, we have worked with numbers and shapes, with the subject focusing on numbers, operations on numbers, and numerical properties. The use of letters is a key feature of algebra, as it allows equations and rules to be composed. The main benefit of this chapter is that the letters can be used to express any number, rather than being restricted to a single number. In addition, letters can be used to represent unknown values.

Using letters, which can correlate to any number without expressing a specific number, is one of the important topics presented in the NCERT solutions for Class 6 Maths chapter 11 – Algebra. Algebra is required for basic arithmetic operations. Everything depends on this concept, from adding two numbers to completing difficult research-level sums. Algebraic concepts are used to construct the framework of various equations, such as geometry issues. Answering all of the questions in the NCERT book is the greatest way to gain a thorough understanding of the above-mentioned concepts.

Students must practice the NCERT solutions for exercise 11.3 Class 6 Maths to have a deeper understanding of the important concepts related to algebra. Below we have mentioned some of the benefits of practising the NCERT exercise 11.3 Class 6 Maths solutions:

- The NCERT solutions are presented step-by-step to help students understand how to solve any question in the exam.
- The NCERT textbooks form the basis of examination. So, students must carefully go through the in-text exercises to score well in the final exams.
- While practising from the NCERT textbooks, students gain some complex problem-solving skills. This helps them in achieving great exam results.
- Students learn some complex problem-solving skills while practising from the NCERT textbooks. This helps them achieve higher grades in the exams
- Students learn time management skills ahead of the exams as practising helps them solve any question in a time-bound manner.
- NCERT solutions help students understand the type of questions asked during the exam. This allows them to secure good grades in the final exams.
- NCERT solutions are the most reliable study material as they strictly follow the CBSE guidelines, helping students score well in the exams.
- Students get to self-evaluate their work ahead of the exam after practising the NCERT solutions from the PDF links.
- Students can easily make room for improvement after solving all the in-text exercises and work on them carefully to avoid any minor mistakes.
- NCERT textbooks are the best for any Class 6 students. They must solve them to score higher marks as no other reference book is better than the NCERT textbook.

Some of the frequently asked questions on NCERT exercise 11.3 Class 6 Maths solutions are mentioned below:

**Q.1: What are the important topics covered in NCERT solutions for exercise 11.3 Class 6 Maths? ****Ans:** The use of variables in common geometry principles such as calculating the perimeter of a rectangle and square, commutative addition and multiplication of two and three numbers, distributivity of numbers, and equation construction are all discussed in this exercise.

**Q.2: How many questions are there in chapter 11 of Class 6 Maths? ****Ans:** There are around 30 questions in chapter 11 of Class 6 Maths. 12 questions are easy, eight are moderate type questions, and the rest 10 require more logical thinking than the others.

**Q.3: Where can I find the NCERT solutions for exercise 11.3 Class 6 Maths? ****Ans: **Students can find the NCERT solutions for exercise 11.3 Class 6 Maths on Embibe and download them on their computer to study offline.

**Q.4: Where can I find the free NCERT solutions for exercise 11.3 Class 6 Maths? ****Ans: **Students can find the PDF link on this page and download them for free as it is easily accessible. Students can then practice the solutions and score well in the exams.

**Q.5: List the important formulas from chapter 11 of Class 6 Maths. ****Ans:** The list of formulas from algebra are as follows:

1. The perimeter of the square: 4x length of the side of a square =4l.

2. The perimeter of the rectangle: 2(l + b), where l and b are the length and breadth of the rectangle respectively.

3. Commutativity of addition of two numbers a and b: a + b = b + a.

4. Commutativity of multiplication of two numbers a and b: a x b = b x a.

Speed = distance/time: s = d/t

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