Positive and Negative Chart

The integers are the obligatory in mathematics. There are the first topics in mathematics. The numbers are the basics of each person’s daily life.The integers are can be devided by tow parts.

The integers are may be seperated as positive integers  and negative integers.  The numbers should not have any end, it is normally endless. Normally, the integers are many types like whole numbers, counting numbers, positive integers,negative integers.

Defintion:

Positive intergers are defined as, each and every natural numbers are all called as positve numbers. The positive numbers should be like, 1, 2, 3, 4, 5,…….. . In the number chart the positive integers are represented as the right side of zero.

Negative integers are defined as, the opposite of every positive numbers are all called as negative numbers.The negative numbers should be like , -1, -2, -3, -4,-5,…… . In the number chart the negative integers are represented as the left side of zero. The negative integers are using (-) symbol.

positive and negative chart:

The chart should explains the operations. They are,

Adding Intergers chart:

Positive integer + Positive integer= Positive integer.
Positive integer + Negative integer= Higher integer symbol.
Negative integer +Positive integer= Higher integersymbol.
Negative integer+Negative integer= Negative integer.

Subracting Integerts chart:

Positive integer – Positive integer = Positive integer.
Positive integer– Negative integer = Positive integer.
Negative integer– positive integer = Higher integer symbol.
Negative integer –Negative integer=Higher integer symbol.

Multiplication integerts chart:

Positive integer * Positive integer = Positive integer.
Positive integer * negative integer = Negative integer.
Negative integer*Positive integer= Negative integer.
Negative integer*Negative integer= Positive integer.

Dividing integers:

Positive integer /  Positive integer= Positive integer.
Positive integer / Negative integer= Negative integer.
Negative integer / positive integer = Negative integer.
Negative integer /Negative integer = Positive integer.

Examples:

Problem 1:

Find the addtion of integers which is following given chart:

(i)           (-5) + ( 10)

(ii)          (-7) +(-8)

Solution:

(i)           (-5) + (10):

According to the addtion chart, we get higher value symbol as a result.

= (-5) + (10).

= (10).

(ii)          (-7) + (-8):

According to the addition chart, we get negative value as the result.

= (-7) + (-8).

= -15.

Problem 2:

Find the subraction of integers which is following given chart:

(i)           (-10) – (-25).

(ii)          (100) – ( 58).

Solution:

(i)           (-10) – (-25).

According  to the subraction chart, we get higher value symbol as the result.

= (-10) –(-25).

= 15.

(ii)          (100) –(58).

According to the subraction chart, we get positive value as the result.

= 100 -58.

= 42.

Problem 3:

Find the multiplication of integers which is the value is (-50) * (25).

Solution:

According to the multiplication chart, we get negative value as a result.

= (-50) * (25).

= - 1250.

Problem 4:

Find the division of integers which  the value is (-25) / (-5).

Solution:

According to the division chart, we get positive value as a result.

= (-25) /(-5).

= 5.