Even numbers play a very important role in the world of mathematics as well as human life. The number can be considered as the arithmetic value that can be perfectly utilised in terms of expressing the quantity of an object and it will also make sure that the calculation performing process will become very much easy for the people. The numbers are broadly classified into real numbers and imaginary numbers and further being clear about the sub-classification of the real numbers as even number and odd number is very much important for the people to become successful in the long run.
By the definition, even number is the one that is perfectly divisible by two and an odd number will be the one that is perfectly not divisible by two.
Even numbers are considered to be numbers that can be perfectly divided by two and they will be a reminder as zero. On the other hand, the odd numbers are the ones that can be perfectly divided by two but will always leave the remainder of one.
It is very much important for the kids to be clear about the set representation of the even and odd numbers as well so that they never face any kind of hassle throughout the process and everything has been professionally carried out. The formalised definition of the even number in the form of integer can be perfectly considered as N is equal to 2K so that there is no query in the minds of people and the formalised definition in the cases of odd numbers can be perfectly considered as N is equal to 2K +1. This particular classification will only apply to the world of integers and the non-integers numbers like fractions and decimals or infinity will never be even or never be odd.
Following are the basic properties of the even and odd numbers about which everybody should know very clearly:
- The sum of two even numbers will always be the even number
- The sum of two odd numbers will always be the even number.
- The sum of even and odd numbers will always be the odd number
- Even numbers will be perfectly divisible by two and the remainder will be zero.
- The order number will not be perfectly divisible by two and the remainder will be the one.
- The even number will always end with zero, two, four, six and eight
- The odd number will always end with one, three, five, seven and nine
It is very much important for the kids to be clear about the entire process of checking the even and odd numbers very easily in the whole process so that there is no hassle at any point in time and everything has been very easily carried out. Decimals are not considered to be even either odd because they are not the whole numbers. One cannot say that 1/3 is a number whereas it is a perfect category of a fraction. Similarly, on the other hand, 12.34 can never be considered as a whole number because it is the perfect category of decimals. Hence, only the integers can be even or odd and fractions, as well as decimals, can never be categorised into odd and even numbers. Zero is an even number because it has the integer multiple of two, specifically zero into two. Hence, it is very much important for the kids to be clear about all these kinds of basic concepts so that they never face any kind of problem at the time of solving the questions in exams.
Apart from this, the kids need to be clear about other concepts like prime numbers, composite numbers and several other kinds of related things which is only possible if they register themselves on Cuemath where they will be taught by the experts of the industry in the whole process.