Define Integers in Math

Introduction to define integers in math:

In mathematics, define integer is one interesting topics in number representation. Integer has a set of numbers in which includes positive integer, negative integer and zero. An integer 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 for define integers in math.

Example for define integers: 789, - 246, 0, 54, etc.

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Different rules for define integers in math:


Different rules for define integers in math are,

Integer Addition Rules:

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

Integer Subtraction Rules:

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.

Integer multiplication Rules:

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

Integer Division Rules:

Like multiplication,

Positive integer ÷ Positive integer = Positive integer

Negative integer ÷ Negative integer = Positive integer

Positive integer ÷ Negative integer = Negative integer

Negative integer ÷ Positive integer = Negative integer

Is this topic What is a Positive Integer hard for you? Watch out for my coming posts.

Example problems for define integers in math:


Some example problems for define integers in math are,

Example 1:

Using integer addition, simplify the given integers

782 + 854

Solution:

Given two integer numbers are

782 + 854

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

Here we add 782 into 854, and then we get the result

782 + 854

1636

Solution to the given two integers is 1636.

Example 2:

Using integer subtraction, simplify the given integers

758 – 500

Solution:

Given two integer numbers are

758 – 500

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

Here we subtract 758 into 500, and then we get the result

758 – 500

258

Solution to the given two integers is 258.

Example 3:

Using integer multiplication, simplify the given integers

85 × 54

Solution:

Given two integer numbers are

85 × 54

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

Here we multiply 85 into 54, and then we get the result

85 × 54

4590

Solution to the given two integers is 4590.

Example 4:

Using integer division, simplify the given integers

9875 ÷ 25

Solution:

Given two integer numbers are

9875 ÷ 25

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

Here we divide 9875 by 25, and then we get the result

9875 ÷ 25

395

Solution to the given two integers is 395.

Example 5:

Using integer multiplication, simplify the given integers

- 456 × 25

Solution:

Given two integer numbers are

- 456 × 25

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

Here we multiply - 456 into 20, and then we get the result

- 456 × 20

- 9120

Solution to the given two integers is -9120.

Example 6:

Using integer addition, simplify the given integers

- 76 + (- 112)

Solution:

Given two integer numbers are

- 76 + (- 112)

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

Here we add - 76 into - 112, and then we get the result

- 76 - 112

-188

Solution to the given two integers is -188.