Math Rules of Integers

Introduction to math rules of integers:

In mathematics, rules of integer is one interesting topics in number representation. Integer contains a set of numbers in which are positive integer, negative integer and zero. It contains complete entity or unit. In integer, there are no fractional parts. Integer performs different arithmetic operations such as addition, subtraction, multiplication and division. Let us solve some example problems using math rules of integers.

Example for integers:

287, -547, 0, 31, etc,

I like to share this Positive and Negative Integers with you all through my article.

Different math rules of integers:


Different math rules of integers are,

Rules of Integer Addition:

In addition, we use the same sign. If we add the same sign integer values then we get the same sign.

Positive integer + Positive integer    =   Positive integer

Negative integer + Negative integer  =    Negative integer

Otherwise, we use different signs. We subtract the different sign integer values then we get the largest absolute value.

Positive integer + Negative integer

Negative integer + Positive integer

Rules of Integer Subtraction:

In subtraction, we keep the first integer as same, change the subtraction sign to addition and change the second integers sign into its opposite then we follow the rule for integer addition.

Rules of Integer multiplication:

Like addition rule,

Positive integer  ×  Positive integer     =   Positive integer

Negative integer  ×  Negative integer   =  Positive integer

Positive integer   × Negative integer    =  Negative integer

Negative integer  ×  Positive integer    =  Negative integer

Rules of Integer Division:

Positive integer  ÷  Positive integer  =  Positive integer

Negative integer  ÷  Negative integer  =  Positive integer

Positive integer   ÷ Negative integer  =  Negative integer

Negative integer  ÷  Positive integer  =  Negative integer

Having problem with Adding Integers keep reading my upcoming posts, i will try to help you.

Example problems using math rules of integers:


Some example problems using math rules of integers are,

Example 1:

Using integer addition rule in math, solve the given integers

450 + 257

Solution:

Given two integer numbers are

450 + 257

Both are two positive integers so, the result is also a positive numbers

Here we add 450 into 257, and then we get the result

450 + 257

707

Solution to the given two integers is 707.

Example 2:

Using integer subtraction rule in math, solve the given integers

897 – 456

Solution:

Given two integer numbers are

897 – 456

Both are two positive integers so, the result is also a positive numbers

Here we subtract 897 into 456, and then we get the result

897 – 456

441

Solution to the given two integers is 441.

Example 3:

Using integer multiplication rule in math, solve the given integers

754 × 12

Solution:

Given two integer numbers are

754 × 12

Both are two positive integers so, the result is also a positive numbers

Here we multiply 754 into 12, and then we get the result

754 × 12

9048

Solution to the given two integers is 9048.

Example 4:

Using integer division rule in math, solve the given integers

45870 ÷ 30

Solution:

Given two integer numbers are

45870 ÷ 30

Both are two positive integers so, the result is also a positive numbers

Here we divide 45870 by 30, and then we get the result

45870 ÷ 30

1529

Solution to the given two integers is 1529.

Example 5:

Using integer multiplication rule in math, solve the given integers

- 720 × 18

Solution:

Given two integer numbers are

- 720 × 18

Given integer number has both positive integer and negative integer so, the result is a negative numbers

Here we multiply - 720 into 18, and then we get the result

- 720 × 18

- 40

Solution to the given two integers is -40.

Example 6:

Using integer addition rule in math, solve the given integers

- 42 + (- 85)

Solution:

Given two integer numbers are

- 42 + (- 85)

Both are two negative integers so, the result is also a negative numbers

Here we add -42 into -85, and then we get the result

-42 - 85

-127

Solution to the given two integers is -127