counting money

In the previous post we have discussed about Negative and Positive Numbers and In today's session we are going to discuss about counting money.
When we talk about the transactions in earlier times, we recall the barter system of transaction. In this system we exchange the articles as per our requirements. Later the transaction of the objects was converted into the standard form, where the cost of each item was calculated in terms of the currency of each country. We call this currency as money.  Let us talk about counting money, where we have the standard unit of money in India as Rupees.
In case of Rupees, we say that 1 rupee is equal to 100 Paisa.
Now we say that the money can be converted into paisa in the following ways:
If we talk about converting rupees into paisa we say that the rupees will be multiplied into paisa by multiplying it by 100. So if we need to convert 3 Rupees into paisa, we write 3 Rupees = 3 * 100 = 300 Paisa
Similarly we say that Paisa will be converted into rupees by dividing paisa by 100. So we say that we proceed as follows:
400 Paisa = 400 / 100 = 4 Rupees
655 Paisa = 655 / 100 = 6 Rupees and 55 Paisa or we write it as Rs 6.55
If the amount of paisa is less than 100 paisa, we say that the money in rupees will be expressed as follows:
60 paisa can be written as Rs 0. 60 or we write as 0 Rupees and 60 Paisa.
 We can take help math online tutor to learn about how to Solve Systems of Equations. We can also download the icse board papers from the internet to get the detailed idea of the pattern of question paper. This helps the child to prepare for the upcoming examinations.

Negative and Positive Numbers

In the previous post we have discussed about Functions and Relations and In today's session we are going to discuss about Negative and Positive Numbers.

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Integer numbers extend from negative infinite to positive infinite numbers. Now we will look at Positive And Negative Number.

If we draw a number line representing the integer numbers and observe that numbers representing on the left side of the number line are all negative numbers and the numbers represented on the right side of the number line are positive numbers. Now if we look at the Positive and negative numbers, we observe that every positive number has its reverse and if we add the positive number and its reverse, we get the result 0. So we call 0 as the additive identity. We can express this relation as follows:

Let the number is 5, its negative number is (-5). Now if we add 5 and -5, we get:

  = 5 + (-5) = 0.

All mathematical operations can be performed on positive and negative numbers. Even positive numbers can be compared.

While comparing numbers we must remember the following rules:

1.    If we compare the positive number with number zero, we say all positive numbers are always greater than 0.

2.    If we compare a negative number with number 0, then we conclude that all negative numbers are always less than zero.

3.     If positive and negative numbers are compared, we conclude that all negative numbers are always smaller than positive numbers.

4.   More we move to the left of the number line, the numbers goes on decreasing. On another hand, if we go on moving to the right of the number line, we come to the conclusion that the number increases.

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Functions and Relations

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Hello friends, in this blog we will understand the concept of Relations and Functions. Here we will discuss relation and function one by one. First we will talk about relation. Suppose we have given two sets I and J then relation 'R' can be defined from set 'I' to set 'J', is a subset of I * J. It is denoted in two forms that are given as:

List form

Tabular form

There are different types of relation which are shown below.

Ø Reflexive Relation

Ø Symmetric Relation

Ø Transitive Relation

Now we will see small introduction about all these given relations. First we will discuss reflexive relation.

Reflexive relation is a relation such that every element is related to itself. For example: (I, I) Є R for all i Є I.

Symmetric relation: Any relation 'R' is called as symmetric relation if (i, j) Є R = (k, i) Є R for all i, j Є I.

Transitive relation: Any relation 'r' is said to be a transitive relation if (i, j) Є R and (j, k) Є R => (i, k) Є R for all i, j, k Є I.

Now we will understand the concept of function.

Function is a group of ordered pair in which two terms present in pair must be different. Now we will discuss different types of function which are given as:

Ø One – one function

Ø Onto function

Ø Into function

Let’s have small introduction about all given functions. First we will understand the concept of one – one function.

One – one function - A function f: I → J is called as one – one function if every input term 'I' has different image in 'J'. So we can also write it as:

f : I → J is one – one if value of 'I' not equal to 'J'. (I ᚌ J) → f (I) ᚌf (J) for all IJ Ԑ I.

Molar Mass of Water is the mass of one mole of H₂O. Cbse sample paper for class x is helpful for preparation of board exams. In the next session we will discuss about Negative and Positive Numbers.