# NCERT Solutions for Class 6 Maths Chapter 6 Exercise 6.2

NCERT Solutions for Class 6 Maths Chapter 6 Exercise 6.2 (Ex. 6.2) Integers updated for academic session 2020-2021 for CBSE and State board (who are using NCERT Books) free to download.

In Class 6 Maths Exercise 6.2, we will learn how to plot two or more different numbers (negative or positive) on number line. All the solutions are done using simple way and easy steps. Videos related to exercise 6.2 is also given with complete explanation.## Class 6 Maths Chapter 6 Exercise 6.2 Solution

Class: 6 | Mathematics |

Chapter: 6 | Integers |

Exercise: 6.2 | NCERT Solutions in Hindi and English |

### CBSE NCERT Class 6 Maths Chapter 6 Exercise 6.2 Solution in Hindi and English Medium

### Class 6 Maths Chapter 6 Exercise 6.2 Solution in Videos

#### Absolute Value of an Integer

The absolute value or numerical value of an integer is a whole number which is obtained by deleting the sign before it. Thus, the absolute value of +2 is 2; –3 is 3; + 7 is 7; – 8 is 8; 0 is 0.

On the number line shown by Fig., both points A and B are at a distance of 6 units from O. A is at a distance of 6 units from O (0) in the positive (right) direction. B is at a distance of 6 units from O (0) in the negative (left) direction. If we do not take note of the directions, we can say that both A and B are at a distance of 6 units from O. In other words, the absolute value of the distance of each from O is 6. The absolute value of an integer a is indicated by | a |. Thus, | +6 | means absolute value of +6; | –6 | means absolute value of –6. Since the absolute value of +6 and –6 is the same and each is equal to 6, we have | +6 | = | –6 | = 6. The absolute value of 0 is 0, i.e., | 0 | = 0.

The absolute value of an integer is always greater than 0 or equal to 0.

The absolute value of an integer is either greater or equal to the integer

##### Write: (i) five negative integers just greater than –8, (ii) five negative integers just less than –12.

(i) Five negative integers just greater than –8, are -7, -6, -5, -4, -3

(ii) Five negative integers just less than –12, are -13, -14, -15, -16, -17

##### Find the absolute value of: (i) 5 (ii) 0 (iii) –7 (iv) – | –3 | (v) – | –8 | (vi) | 9 – 10 |

Absolute values of given numbers are:

(i) 5

(ii) 0

(iii) 7

(iv) – 3

(v) –8

(vi) 3

#### Operations on Integers

##### Addition of Integers

We know how to add two whole numbers using the number line. In this section, we shall extend this method to the addition of integers. Adding –4 to a number means moving 4 steps to the left of the number. Adding 4 to a number means moving 4 steps to the right of the number.

##### Rule 1:

If two positive integers or two negative integers are added, we add their values regardless of their signs and give the sum their common sign.

##### Rule 2:

To add a positive and a negative integer, we find the difference between their values regardless of their signs and give the sign of the integer with more numerical value.

##### Add the following integers: (i) 121 and 249 (ii) –175 and –694 (iii) –212 and 427

(i) Both the integers are positive. So, by using the rule for addition of integers having the like signs, we have, 121 + 249 = 370

So, 121 + 249 = 370

(ii) Both the integers are negative. So, by using the rule for addition of integers having the like signs, we have, – 175 + – 694 – 869

So, (–175) + (–694) = –869.

(iii) Here, the integers to be added are of the unlike signs, therefore to add them, we find the difference of their absolute values and give the sign of the integer with more numerical value.

–212 + 427 = | 427 | – | –212 | = 427 – 212 = 215.

##### Adding Two Positive Integers

Let us add +4 and +6

(+4) + (+6) = 10.

##### Adding Two Negative Integers

Let us add –2 and –5

(–2) + (–5) = –7.

##### Adding a Positive and a Negative Integer

Let us add +3 and –9

3 + (–9) = –6.

##### What do mean by absolute value of a number?

The absolute value or numerical value of an integer is a whole number which is obtained by deleting the sign before it. Thus, the absolute value of +2 is 2; –3 is 3; + 7 is 7; – 8 is 8; 0 is 0.

##### Find the successor of each of the following integers: (i) 0 (ii) –312 (iii) –89 (iv) –1 (v) –413 (vi) –815

Successor of the following integers:

(i) 1

(ii) –311

(iii) –88

(iv) 0

(v) –412

(vi) –814

##### Simplify: (i) (–850) + (–615) + 82 + (–225) (ii) 1250 + (–413) + 48 + (–609)

(i) (–850) + (–615) + 82 + (–225)

After simplifying we can write, – 850 – 615 + 82 – 225 = – 1690 + 82 = 1608

(ii) 1250 + (–413) + 48 + (–609)

After simplifying we can write, 1250 – 413 + 48 – 609 = 1298 – 1022 = 276