Integers are numbers that can be positive, negative or zero in mathematics. Integers can be fractions, but they can’t be fractions. These numbers are used in addition, subtraction, multiplication, and division, among other numerical operations. Integers have numbers such as 1, 24, 5,8, -67, -12, and so on. Integers are represented by the capital alphabet “Z.” A set of whole numbers, a set of natural numbers which are also known as counting numbers, and their inverses are all examples of sets of integers. Integers are real numbers’ subordinates. Integers have numbers like -100, -12,-1, 0, 2, 1000, 594379834, and so on.
Integers comprise of the following types of numbers which are stated below:
- Real Numbers
- Natural Numbers
- Whole Numbers
- Rational numbers
- Irrational numbers
- Even and Odd Numbers, etc.
Vital Properties of Integers
The primary properties of Integers are given below:
- Closure Property
- Associative Property
- Commutative Property
- Distributive Property
- Additive Inverse Property
- Multiplicative Inverse Property
- Identity Property
Different Types of Integers:
The Number Zero
Neither a positive nor a negative integer, zero exists. It is a number that is neither positive nor negative. This is due to the fact that zero has no sign in Positive Integers.
Positive Integers
Positive integers are known as positive integers. A plus sign is used to denote positive integers. In a number line, all positive integers are on the right side of zero. As a result, any positive integer is greater than zero.
Negative integers
Negative Integers are a type of negative integer in the number system. Negative integers are shown and can be recognized with the help of a minus sign before every number. They are always smaller in value than zero and are placed on the left side of the number line.
What do you mean by CompositeNumbers?
Composite numbers are those numbers that are divisible by more than two variables. Composite numbers are all-natural numbers that are not prime numbers and are separated by more than two numbers. 6 is an example of a composite number since it can be divided by 1, 2, 3, and even 6.
Different Types of Composite Numbers
The following are the two main types of composite numbers:
Odd Composite Numbers (also known as Composite Odd Numbers) and a type of even composite number.
Odd Composite Numbers
The odd composite numbers are all odd integers that aren’t prime numbers. Composite odd numbers include 15, 21, 25, 27, 31, and so on. Take the numbers 1, 2, 3, 4, 9, 10, 11, 12, and 15, 16 for example. Just 9 and 15 are odd composites in this set of numbers. This is because they serve and match all the set properties of odd composite numbers.
Even Composite Numbers (also known as Composite Even Numbers)
Even composite numbers are all even integers that are not prime numbers. 4, 6, 10, 12, 14, 18, and so on are examples of composite even numbers in the entire number system. Just 4, 10, and 12 are composites in the given numbers set 1, 2, 3, 4, 9, 10, 11,12, and 15 since only those two numbers obey the composite number conditions.
Fun facts
- The smallest existing Composite Number is 4
- The smallest existing Prime Number is 2
- The smallest existing Odd Composite Number is 9
- The two-digit Smallest existing Composite Number is 12
Conclusion
Integers and composite numbers are a very vast concept. They hold a very important place in the entire number system. Integers and composite numbers can be mastered easily with the help of Cuemath online resources that are free, accessible, and very effective. Cuemath is an online learning platform that makes learning easy and fun for students. Cuemath helps students understand why behind what of every topic.