Integers

Review on Integers

An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
The set of integers is denoted by the letter 'Z'.
Z = {. . . . . . . . . . -3, -2, -1, 0, 1 , 2, 3 . . . . . . . . .} is the set of integers. i.e. both +ve and -ve.
Z⁺ = {+1, +2, +3, +4, +5, +6 . . . . . . . . .} is the set of +ve integers.
Z^-= {-1, -2, -3, -4, -5, -6 . . . . . . . . . } is the set of -ve integers.

In the above number line, the negative integers left to the zero are increasing.
i.e. -3< -2< -1< 0< 1< 2< 3< 4 and so on.

Absolute Value of Integers

The absolute value of an integer is the numerical value without power to whether the sign is negative or positive. For example:
let A and B be two places in which A is -5 km left from zero and B is +5 km right from zero. Then, what can be the distance between A and B.
In simple sense,
Distance of A + Distance of B,
= -3 + 3
= 0, which is impossible.
But by using absolute value, we can write as:
Distance of (A + B) = |-3| + |3|
= 3 + 3
= 6 km.
In such case, the numerical value of either 3 or -3 will be same i.e. 3.

Operation on Integers

The fundamental operations of integers on number lines are:addition

• addition
• subtraction
• multiplication
• division

Things to remember

• An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
• The absolute value of an integer is the numerical value without power to whether the sign is negative or positive.
• The set of integers is denoted by the letter 'Z'.

• It includes every relationship which established among the people.
• There can be more than one community in a society. Community smaller than society.
• It is a network of social relationships which cannot see or touched.
• common interests and common objectives are not necessary for society.

Questions and Answers

Quiz