# NCERT Solutions for Class 6 Maths Chapter 11 Exercise 11.3

NCERT Solutions for Class 6 Maths Chapter 11 Exercise 11.3 (Ex. 11.3) Algebra step by step question answers done by subject experts free to use online or download. All the solutions are prepared for the academic session 2021-2022.

Class 6 math exercise 11.3 provides a basic idea about the formation of algebraic expression. All the questions in ex. 11.3 of 8th math are simple to understand and easy to solve.## Class 6 Maths Chapter 11 Exercise 11.3 Solution

### CBSE NCERT Class 6 Maths Chapter 11 Exercise 11.3 Solution in Hindi and English Medium

Class: 6 | Mathematics |

Chapter: 11 | Algebra |

Exercise: 11.3 | English and Hindi Medium |

### Class 6 Maths Chapter 11 Exercise 11.3 Solution in Videos

#### Properties of Addition of Literals

Like numerals, addition of literal numbers have the following properties: For all literal numbers a, b and c:

(i) a + b = b + a

(ii) a + (b + c) = (a + b) + c

(iii) a + 0 = a = 0 + a However, subtraction of literals has none of these properties.

##### Laws of Addition and Subtraction of Literal Numbers

Integer Property | Addition | Subtraction |
---|---|---|

Commutative Property | x + y = y+ x | x – y ≠ y – x |

Associative Property | x + (y + z) = (x + y) + z | (x – y) – z ≠ x – (y – z) |

Identity Property | x + 0 = x =0 + x | x – 0 = x ≠ 0 – x |

Closure Property | x + y ∈ Z | x – y ∈ Z |

### Class 6 Maths Exercise 11.3 Extra Questions with Answer

##### Write each of the following phrases using numbers, literals and the basic operation of subtraction: (i) Subtract 2 from x (ii) 9 less than a literal y (iii) Decrease x by 5 (iv) Decrease the sum of a and b by x (v) y less than the sum of x and 8.

(i) x – 2

(ii) y – 9

(iii) x – 5

(iv) (a + b) – x (v) (x + 8) – y

(v) y < x + 8

##### Write each of the following phrases using numbers, literals and the basic operations of addition, subtraction and multiplication: (i) Multiply a by 6 (ii) 5 times b (iii) The product of x and 2 (iv) 7 times x added to a (v) y subtracted from 4 times x

(i) 6a

(ii) 5b

(iiii) 2x

(iv) 7x + a (v) 4x – y

#### Multiplication of Literal Numbers

Multiplication can be indicated in several ways. To indicate the result of multiplying 2 by a, we can write as (i) 2 × a, (ii) 2.a or (iii) 2a. Thus, ab means a multiplied by b; 5a means a multiplied by 5.

The third form in which 2 and a are written side by side without the multiplication (×) sign or dot (.) between them is the one most extensively used.

### Class 6 Maths Exercise 11.3 Important Questions

##### Why is the commutative property of addition important?

Place value and commutative property are important to remember when understanding and solving addition and multiplication equations. The order of the numbers in the equation does not matter, as related to the commutative property, because the sum or product is the same.

##### When numbers literals are multiplied they are called?

A multiplying literal number or product of more literals in a term is called a literal factor.

##### How is linear algebra used in real life?

Linear algebra has many use in real life some examples are as:

The vibration frequencies of a violin strings (the “sound” of a violin)

Same for a drum.

The resonant frequencies of a bridge.

The energy levels of atoms.

The microwave energy distribution in a microwave oven.

You will also find hints of it in any systems that uses resonance, such as NMR and MRI, more at this place.

##### Are there any examples in exercise 11.3 of Class 6 Maths NCERT?

No, there are no examples in exercise 11.3 of grade 6th Maths. Only 6 questions are there in exercise 11.3 of grade 6th Maths. In this exercise students will study expressions with variables. If students want to practice more questions of this exercise type, they can refer to any other book like NCERT Exemplar or R.S. Aggarwal, etc.

##### Can questions come in the exam from exercise 11.3 of class 6 Maths?

Yes, questions can come in the exam from exercise 11.3 of class 6 Maths. Exercise 11.3 of 6th standard Maths has 6 questions. All questions of this exercise are important from the exam point of view. But, the most important questions of this exercise that have more chance to come in the exams are questions 4, 5, and 6. Most probably, two marks or more than two marks questions can come from this exercise.

##### Can students complete exercise 11.3 of class 6th Maths within half hour?

No, students can’t complete exercise 11.3 of class 6th Maths within half hour. This exercise has 6 questions. Students need at least two days to complete exercise 11.3 of class 6th Maths if they give 1 hour per day to this exercise. This is an approximate time. This time completely depends on student’s working speed, efficiency, capability, and many other factors.

##### Is exercise 11.3 (chapter 11) of class 6th Maths difficult to solve and understand?

No, exercise 11.3 (chapter 11 Algebra) of class 6th Maths is quite easy to solve and understand. All questions of this exercise are straightforward except questions 3 and 5. In questions 3 and 5, students face problems while solving. But difficulty level of any topic/question varies from student to student. So, Exercise 11.3 (chapter 11 Algebra) of class 6th Maths is easy or not depends on students also. Some students find it complicated, and some find it simple.