Scientific Notation

Scientific notation is defined as shorter method to state simplest form of very large numbers. This method is called scientific notation. Scientific Notation is powers of the base number 10 has expressed in the scientific notation.

Scientific notation, also known as standard form or as exponential notation, is a way of writing numbers that accommodates values too large or small to be conveniently written in standard decimal notation.

In Scientific Notation all the numbers are written as:

a × 10^b

("a times ten to the power of b"), where the exponent b is an integer, and the coefficient a is any real number.

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Basic Scientific Notations:

1 * 10¹ = 1

1 * 10² = 10

1 * 10³ = 100

1* 10⁴ = 10000

1 * 10⁵ = 100000

Let us try to understand this with the help of the below example on scientific Notations.

Scientific Notation Example 1)

solve 5.59 *
-->10⁵
Solution:

Given that 5.59 *
-->10⁵
Significant value = 5.59

Exponent = 5

You can change the Decimal point to the right side and add the three zeros

The solution is 559000.

Fundamental operations on Whole Numbers

The fundamental operations on whole numbers are addition, subtraction, multiplications, and division.

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Addition: Addition means combining parts to get a whole.

Example: Meena has 5 chocolates in her purse. Her mom gave her 7 more chocolates. How many chocolates does she have in total?

Total Chocolates in Meena’s Purse = 5 chocolates + 7 Chocolates = 12 Chocolates.

Subtraction: Subtraction is the study of arithmetic operation for finding the difference between the two quantities or numbers.

Example:

1) 6 - 6 = 0

The value 6 minus value 6 equal to 0

The solution is 0(zero).

2) 12 – 24 = - 12

The value 12 minus value 24 equal to minus 12

The solution is minus 12

Multiplication: Multiplication is one type of arithmetic operations and repeated one number to the number of times equal to the other number. Symbol used for subtraction (x).

Example: 229*101 means 101 times 229

= 100 times 229 + one time 229 ( by using multiplication method)

= 22900 + 229

= 23129

Division:

-->Division is one type of arithmetic operations and it is the process of repeated subtraction. Symbol used for division (÷).

Example: Divide 40 by 8

Solution:

40

– 8 … (1)

____

32

– 8 … (2)

____

24

– 8 … (3)

____

16

– 8 … (4)

____

8

– 8 … (5)

____

0

____

So, 40 is divided by 8 in 5 times

40 ÷ 8 = 5

Angles and types of Angles

Today lets talk about Angles..

First of all lets understand what is an Angle is..............

An angle is an outline formed by two influence with the similar opening point.
The point at which the arms meet (o) is known as the vertex of the Angle.

Types of Angles:

Lets go through the different types of angles.

Right Angle: An angle whose measure is 90 degrees is called as a Right Angle.

Acute Angle: An angle whose measure is less then one right angle (i.e., less than 90 degrees). Is called an Acute Angle.

Obtuse Angle: An angle whose measure is more than one right angle and less than two right angles (i.e., less than 180 degrees and more than 90 degrees ) is called an Obtuse Angle.

Straight Angle: An angle whose measure is 180 degrees is called a Straight Angle.

Reflex Angle: An angle whose measure is more than 180 degrees and less than 360 degrees is called a Reflex Angle.


Complete Angle: An angle whose measure is 360 degrees is called a Complete Angle.

Histograms

What is a Histogram?????

In simple language: A two dimensional frequency density diagram is called a histogram. A histogram is a diagram which represents the class interval and frequency in the form of a rectangle. There will be as many adjoining rectangles as there are class intervals.

Its self explanatory and also easy to understand the distribution of data since it does not involve calculations and solutions.

You will understand this better if we do some practical problems on Histogram.

Lets take some data and try to plot it in the form of a Histogram.

Example 1:












This data can be presented in the form of following Histogram.

Bar Graph

A bar graph is a graphical illustration of frequency distributions of ungrouped information. It is a pictorial demonstration of the arithmetical data by a number of bars of uniform width erected vertically with like spacing between them.

Bar charts are used for plotting discrete (or 'discontinuous') data i.e. data which has discrete values and is not continuous. Some examples of discontinuous data include 'shoe size' or 'eye color', for which you would use a bar chart. In contrast, some examples of continuous data would be 'height' or 'weight'. A bar chart is very useful if you are trying to record certain information whether it is continuous or not continuous data.

How to Draw a Bar Graph?????

Sounds hard but is very easy.

Three steps and we are there lets see......

Step 1: Draw horizontal and vertical axes on the graph paper.
Step 2: Take one set of the data along x-axis and other set of data in y-axis.
Step 3: Now plot the bars using given data.

Lets try plotting some Bar Graphs using the below data.

An officer with a monthly salary of Rs. 10,000 plans his budget for a month as given below:


This Data can be represented by the below Bar Graph


Try some its easy..............................................