Arithmetic Operations on Integers
Four basic Maths operations performed on integers are:
- Addition of Integers
- Subtraction of Integers
- Multiplication of Integers
- Division of Integers
Addition of Integers
Addition of integers is similar to finding the sum of two integers. Read the rules discussed below to find the sum of integers.
Example: Add the given integers
- 3 + (-9)
- (-5) + (-11)
- 3 + (-9) = -6
- (-5) + (-11) = -16
Subtraction of Integers
Subtraction of integers is similar to finding the difference between two integers. Read the rules discussed below to find the difference between integers.
Example: Add the given integers
- 3 – (-9)
- (-5) – (-11)
- 3 – (-9) = 3 + 9 = 12
- (-5) – (-11) = -5 + 11 = 6
Multiplication of Integers
Multiplication of integers is achieved by following the rule:
- When both integers have same sign, the product is positive.
- When both integers have different signs, the product is negative.
| Product of Sign | Resultant Sign | Example |
|---|---|---|
| (+) × (+) | + | 9 × 3 = 27 |
| (+) × (–) | – | 9 × (-3) = -27 |
| (–) × (+) | – | (-9) × 3 = -27 |
| (–) × (–) | + | (-9) × (-3) = 27 |
Division of Integers
Division of integers is achieved by following the rule:
- When both integers have the same sign, the division is positive.
- When both integers have different signs, the division is negative.
| Division of Sign | Resultant Sign | Example |
|---|---|---|
| (+) ÷ (+) | + | 9 ÷ 3 = 3 |
| (+) ÷ (–) | – | 9 ÷ (-3) = -3 |
| (–) ÷ (+) | – | (-9) ÷ 3 = -3 |
| (–) ÷ (–) | + | (-9) ÷ (-3) = 3 |
Integers – Definition, Properties and Worksheet
Integers are any number including 0, positive numbers, and negative numbers. Examples of integers are 3, 70, -92, 234, -3567 etc. Examples of numbers that are not integers are -1.3, 3/4, 2.78, and 345.97
In this article, we have covered everything about what are integers in maths, integers definition, types of integers, etc. to Integers classes 6 and 7.
Integers
Table of Content
- What are Integers?
- Types of Integers
- Integers on a Number Line
- Rules of Integers
- Arithmetic Operations on Integers
- Properties of Integers
- Applications of Integers
- Examples on Integers