Absolute Value of an Integer
Absolute value of an integer is its numerical value without taking the
sign into consideration.
The absolute values of 9 = 9; the absolute value of 5 = 5 and so on.
The symbol used to denote the absolute value is, two vertical lines ( ), one on either side of an integer.
Therefore, if 'a' represents an integer, its absolute value is represented by a and is always nonnegative.
Note:
(i) a = a; when 'a' is positive or zero.
(ii) a = a; when 'a' is negative.
Find the absolute value of the following:
(i) 76
(ii) +50
(iii) 100
Solution:
(i) 76 = 76
(ii) +50 = 50
(iii) 100 = 100
Examples on absolute value of an integer:
(i) Absolute value of  7 is written as  7 = 7 [here mod of  7 = 7]
(ii) Absolute value of + 2 is written as + 2 = 2 [here mod of + 2 = 2]
(iii) Absolute value of  15 is written as  15 = 15 [here mod of  15 = 15]
(iv) Absolute value of + 17 is written as + 17 = 17 [here mod of + 17 = 17]
On a number line the number indicates the distance from 0 and the sign before the number tells us whether the distance is to the right or left of 0. For example +5 is 5 units away to the right of 0 where as 5 is 5 units away to the left of 0 on the number line. The numerical value of the unit regardless of the sign is called absolute value of an integer. The absolute value of an integer is always positive. Thus, the absolute value of 5 and 5 is 5. It is written as 5
So, 5 = 5 and 5 = 5
Find the mod of:
(i) 14  6 = 8 = 8
(ii)   10 =  10
(iii) 15   6 = 15  6 = 9
(iv) 7 +  7 = 7 + 7 = 14
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Practice the questions given in the worksheet on addition and subtraction using number line. We know, adding a negative number means moving to the leftside on the number line and adding a positive number means moving to the rightside on the number line.

We will learn subtraction of integers using number line. We know that subtraction is the inverse of addition. Therefore, to subtract an integer, we add its additive inverse. For example, to find +5 – (+3), we add +5 + (3). So, on the number line, we move to the left of +5

We will learn addition of integers using number line. We know that counting forward means addition. When we add positive integers, we move to the right on the number line. For example to add +2 and +4 we move 4 steps to the right of +2. Thus, +2 +4 = +6.

I. Compare the given numbers and put the right sign >, < or =. You may think of a number line when considering the answers:

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Practice the questions given in the worksheet on absolute value of an integer. We know that, the absolute value of an integer is its numerical value without taking the sign into consideration. I. Write the absolute value of each of the following: (i) 15 (ii) 24 (iii) 375

Practice the questions given in the worksheet on integers and the number line. The questions are based on integers and how to find the integers using a number line. I. Using the following number line, fill in the blanks:

What are integers? The negative numbers, zero and the natural numbers together are called integers. A collection of numbers which is written as... 4, 3, 2, 1, 0, 1, 2, 3, 4.. . These numbers
● Numbers  Integers
Integers
Multiplication of Integers
Properties of Multiplication of Integers
Examples on Multiplication of Integers
Division of Integers
Absolute Value of an Integer
Comparison of Integers
Properties of Division of Integers
Examples on Division of Integers
Fundamental Operation
Examples on Fundamental Operations
Uses of Brackets
Removal of Brackets
Examples on Simplification
● Numbers  Worksheets
Worksheet on Multiplication of Integers
Worksheet on Division of Integers
Worksheet on Fundamental Operation
Worksheet on Simplification
7th Grade Math Problems
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