Prime Numbers in Grade V

Hello friends, today in math help session, we will learn about the few interesting topics of Grade V. algebra 1 (also you can play number sets algebra 1 worksheets) is taught to students of grade V and in this we learn several interesting topics. As you all know the building block of anything must be strong. If we have strong base then you can set up the strong building. The same case impels with mathematics if your basic concepts are good then no one can defeat you in the this subject. Math is all game of concepts and once you come up with all the concepts you become the master of the subject. In this article we will talk about the few interesting topics of mathematics that you study in Grade V. Let’s start with the very first topic that is, relationship between data. In this students learn how to determine the relation between the different information given in any problem.

What do you understand by Prime Numbers and Composite numbers? Start with prime numbers; it is defined as a number that can be evenly divided only by one and number itself. The other condition for this is that the number must be whole number and greater than one. In other words we can also define the prime number as a whole number that has only two factors in which one is number itself and other is one. On the other side a composite number is that which has other factors also in addition to one and itself. The two numbers zero and one are neither considered as prime number nor as composite number. Zero and one are out of the family of prime and composite numbers. All Even numbers are divisible by two and so set of all the even numbers greater than two. Composite numbers are that numbers which end with five and zero are divisible by five. The prime numbers between 2 and 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.
A positive integer is a composite number if it has a positive divisor other than one or itself. It can also be explained as any positive integer than one that is not on group of prime numbers. In mathematical language n>0 is an integer and there are integers 1< a, b<n in such a way that n = a X b, then ‘n’ is composite number. So, according to definition of prime numbers and composite number, every integer greater than one is either a prime number or a composite number.


For instance the number 14 is a composite number. How? Are you thinking this then relax I will explain how 14 is be a composite number, 14 is having one and itself as its factor. Apart from this, it has other factors also, 14 can also be written as: 7 X 2. The number 14 is now having four factord including 1, 2, 7 and 14 so we can easily say that 14 is a composite number. Now who will tell me what is 2? Ya friends, 2 is a prime number because it has only two factors one and itself. So, 2 is a prime number.

Now, take few more examples of composite and prime numbers so that you can easily understand the concept of the problem. Now, what is 5 a prime number or a composite number? 5 is a prime number because it has two factors only that includes: one and number itself. And in composite more than these factors should be present. Now one more example of this, is 25 a prime number or composite number? As 25 can be factored as 25 = 5 X 5. The 25 is having more than two factors so it is considered as composite number not a prime number. The number 25 is having 1, 25 and 5 as its factor, which is satisfying the condition of composite number.

Now, move to next topic that is “variable”, it is a “symbol” or “name” that stands for a value. For example: a + b, here ‘a’ and ‘b’ both are variables. In other terms we can define the same variable as a value that may change within the scope of a given problem or set of operations. In opposite of this a constant is used, which defines a constant value. A constant is a value that remains unchanged, in unknown and undetermined terms. Both these concepts are fundamental to many areas of mathematics and its different applications. Students let’s clear the example with help of previous studies that you had done. In the primary classes when teacher asks you to solve different questions of finding the unknown, what you use to do? You try to find the unknown value by applying different operations that are defined in the problem. Like, _+ 4 = 8,
In this problem you use to calculate the value of blank space by changing the position of constants like,
_ = 8 – 4,
_ = 4,
Thus in blank place we have to put 4, in order to get the answer,
4 + 4 = 8.
In the same way we use to solve the problems involving variables. In grade V the blank space is replaced with help of variables. The variables can easily be used in place of numeric value. In the same problem variable can be put as: x + 4 = 8,
In this blank is taken by variable x, and we can solve this same as of above problem.
Take constants on one side and variables on the other side. Generally, we use to place variables on left side and constants on right side. Whenever we change the position of constants and variables we used to change the sign of the constant and variables. Like if on side side any number is positive than on left side it is negative. In above example:
X + 4 = 8, take 4 on the left side and when we take 4 on other side we have to change the symbol of the 4 here it is positive on the other side it is negative.
X = 8 -4,
X = 4. Thus answer is 4. Or value of variable is 4. Now, let’s see few more examples of the same problem, like
2x + 4 = 14 – 4x,
In this problem we have one variable x, but it is defined on both the sides, so take the x values one side and constants on the other side of the equal sign. On doing so we get,
2x + 4x = 14- 4,
6x = 10,
X = 10/6,
X = 5/3
In this the value of variable x is equal to 5/3. One more example of the same type problem.
X + 2x + 3x – 4 + 8 – 5 = 0 in this, problem all the terms are given on the same side, no need to take tension follow the same strategy that I have explained in this article, i.e. of taking constants on one side and variables on the other side of the equal sign.
X + 2x + 3x = 5 +4 – 8,
6x = 9 -8,
6x = 1
And, x = 1/6. In this way you can simply calculate the value of the variable or variables by simply moving the numbers and constants from one side to other and performing operations on them.
Now, move to the other important topic of grade V i.e graphs. Graphs are the simple way of representation of data with the help of graph you and easily place the data on the graph and the other person can easily understand the problem. In the graph we have two axes one is defined as x- axis and other is defined as y- axis. The horizontal line is the x- axis and the vertical line is defined as y- axis. Whenever we have to plot the values we place the values on both the axes according to the requirement. Usually we divide the graph in 4 quadrants, the two are of x and two y. first is + x quadrant, next is + y quadrant, third is –x and the last is – y. With the help of graph you can easily understand the problem.
In grade V students learn the graphs of data management and probability, geometry and spatial geometry, number sense and numeration, pattering and algebra.
Kids it is quite difficult to draw the graph here, but I have given you an overview which will help you while solving this type of problems. In short I can only say that graph representation is the best way to solve any problem as in this we can easily determine the data that what is given to us and what we have to calculate.
This is all about all the three topics from my side, if you face any problem and you can ask your problems and I am here to answer all your queries and to help you in learning mathematics.

In upcoming posts we will discuss about Linear Functions in Grade V. Visit our website for information on 12th biology Maharashtra board syllabus