Numbers are confusing, complex and also very vast, they are endless and tend to infinity. But they are ways to make sure we understand numbers and make use of them in our day to day life.
Numbers are vast hence we have a term called Number system that is used to help us identify the numbers. There are numbers ranging from negative to positive and all extending to infinity and in the centre of all lies the hero of all the numbers '0'.
What are the different types of Numbers
- Natural Numbers – or the counting number are probably the first type of numbers you will have come across. The Natural numbers are whole numbers greater than zero. These numbers are 1, 2, 3, 4 numbers that you can physically count. Natural Numbers do not include negative values. For this, we need another group. Note: Some people include zero as a Natural Number, if unsure it is best to check with your teachers whether they do or not.
- Integers are whole numbers, both negative and positive, including zero. These numbers are -3, -2, -1, 0, 1, 2, 3. Positive integers are integers greater than zero, and negative integers, not surprisingly, are integers less than zero.
- Rational Numbers- The rational number are numbers that can be written as a fraction where both the numerator and denominator are integers. This means that both the top and bottom of the fraction are whole numbers.
- Irrational Numbers- are numbers that can’t be written as fractions, examples of these are ones such as. If we try to write these numbers as decimals they go on forever, with no recurring digits.
- Square Numbers- are integers that can be written as the square of some other integers, ie. a product of an integer multiplied by itself. Examples of these are 4, (2×2) and 81, (9×9). Square Numbers can also be written in the form. This notation means 5 squared, which is 25.
- Surds are numbers left in the form, where n is a positive integer that is not a square number.
- Prime numbers are numbers greater than 1 that can only be divided by themselves and 1 to give an integer answer. Example of these are 2, 3, 5, 7, 11, 13, 17,..... Note that 2 is the first and only even prime number. Note: Some courses class the number 1 as a prime number, if unsure it is again best to check with your teacher.
- Real Numbers- are all the numbers that you have ever come across, all of the rational and irrational numbers. All of these real numbers can be written in a finite or infinite decimal form.
They can download the PDF and solve the questions in which the get doubts.
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