Integers: Positive and Negative

Integers are the numbers consisting of positive numbers, zero and also the negative numbers.  The positive numbers and negative numbers are called as positive negative integers. Positive integers are the integers with positive sign for example, 2, 3, 1, 5 etc. and negative integers are the integers with negative sign. Examples of Negative Integers are -21, -3, -1, -5 etc. On a number line the integers are shown as given below

The following are the Positive and Negative Integers Rules:
Addition rules of Integers: 
When two positive integers are added the sum would be a positive integer; (3+5=8)
When two negative integers are added the sum would be a negative integer; [(-3) + (-5)= -(3+5)= -8]
When a positive integer and a negative integer are added, the numbers are subtracted and given the sign of the larger number;[ (3)+(-5)= -2]

Subtracting Positive and Negative Integers:
A positive integer subtracted from a negative integer would give a negative integer; (-7)-(4)=-7+4= -3
A negative integer subtracted from a positive integer would give a positive integer, here the numbers are added and given the positive sign; (5)- (-7)=(5+7) = 12
When two negative numbers are subtracted it gives a negative and a positive integer. The numbers are subtracted and given the sign of the larger number; (-5) – (-7)=-5+7= 2; -7 – (-5)= -7+5= -2

Multiplication Rules of Integers:
A  Positive Integer multiplied with a positive integer, the product would be a positive integer
3x5=15
A positive integer multiplied with a negative integer, the product would be a negative integer
3x (-5)=-15
A negative integer multiplied with a positive integer, the product would be a negative integer
(-7)x3=-21
A negative integer multiplied with a negative integer, the product would be a positive integer
(-7)x(-5)= 35

Dividing Positive and Negative Integers:
A  Positive Integer divided by a positive integer gives a positive integer, 15/5=3
A positive integer divided by a negative integer gives a negative integer, 15/(-3) = -5
A negative integer divided by a positive integer gives a negative integer, -21/3 = -7
A negative integer divided by a negative integer gives a positive integer, (-21)/(-7) = 3

Positive and Negative Integers Word Problems
The temperatures recorded in the Sahara Desert and Thar Desert are 138 degrees Fahrenheit and -55 degrees Fahrenheit respectively. Calculate the difference in the temperatures.
Sahara Desert Temperature= 138 degrees Fahrenheit
Thar Desert Temperature= (-55) degrees Fahrenheit
Difference in temperatures = Temperature in Sahara Desert – Temperature in Thar Desert
      = 138 – (-55) = 138 +55 = 193 degrees Fahrenheit (Answer)