5th Class

 Decimals and Its Operations   Decimals A fraction with the denominator as power of 10 (like 10, 100, 1000 etc.) is called decimal. It is expressed as the numbers with a point in between, called decimal point. It is expressed as the numbers with a point in between, called decimal point. In other words, decimal consists of two parts which are separated by a decimal point.  
  •                Example
2.564, 0.0023, 3.2565, 5431.23 are decimal.   Expanded Form of Decimals Expanded form of a decimal represents the addition of place values of the digits, respective to their positions in the decimal.  
  •                 Example
Write the expanded form of the more...

 Geometrical Figures   Introduction We observe different types of figures around us. They are in different shapes. In this chapter we will discuss about different types of geometrical figures such as line, angles etc.   Point To show a particular location, a dot (.) is placed over it, that dot is known as point.  
  •            Example
In the above figures point A represents \[\frac{1}{3},\] point B represents \[\frac{2}{3},\] and point C represents 1.   Line Segment Line segment is defined as the shortest distance between two fixed points. For example It is denoted as \[\overline{AB}.\]  

 Area, Perimeter and Volume of Geometrical Figures   Perimeter Perimeter is referred as the length of the boundary line, which surrounds the area occupied by a geometrical shape.  
  •             Example
Find the perimeter of the following figure. Solution: Perimeter of the figure = 4 cm + 3 cm + 4 cm + 2.5 cm+ 5 cm + cm = 23.50.   Perimeter of the Triangle A triangle has three sides. Perimeter of a triangle is the sum of its all the three sides. Perimeter of the triangle ABC = AB + BC + CA  
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 Graphical Representation of Data   Introduction You might have seen in the books, newspaper etc. graphs are used to give some valuable information, like people living under poverty line in different states, number of mal-nutritioned child in different Asian countries, number of unemployed people in India, number of uneducated people in a particular state etc. In this chapter we will study about the data and analysis of data with the help of graph.   Data The information, which is in the numeral form, is called data. The data is gathered in various ways. Then it is manipulated and represented on the graph.   Raw Data The initial data that the observer collects himself is called raw data.   Grouped Data When raw data is arranged in a table in order to extract the information contained by it easily, is called grouped data.   Presentation of Data more...

Applied Mathematics: Percentage, Ratio and Proportion   Introduction You must have heard the word percentage in day-to ?day conversation. ·         Ms. Arora?s daughter has got 94% in her Board Exam. ·         V-Mart is giving 50 percentage discount. The word ?Percentage? has come from two words: Per and Cent. Per means ?out of? and cent means ?Hundred?. So the word percentage means out of hundred or per hundred. In this chapter, we will study about percentage, profit/loss, ratio and proportion, direct and inverse variations and their use in our everyday life.   Percentage All fraction that are written with a denominator of 100 can be written as percentages. The symbol for percentage is %. Percentage can be shown using diagrams. Look at the given square below. It is divided into 100 smaller squares. more...

 Reasoning and Aptitude   Introduction Learning process is dependent on ones ability to think logically and reason quickly and effectively. So Reasoning and logic skills are an important part in our progress as these skills are very useful in our day to day life. In this chapter, we will learn various problems related to reasoning and aptitude.   Problems Based on Patterns Patterns is a list of numbers or letters that follows a certain sequence of a certain rule. To solve them all we have to do is figure out the pattern and come up with the next logical number or letter of the sequence.  
  •             Example
Which number will replace the question mark (?) in the number pattern given below? more...

 Number Sense and Numerations   Numbers Numbers are mathematical symbol by which we express date, time, distance, position, quantity etc. We use ten symbols (0, 1, 2. 3, 4, 5, 6, 7, 8, 9) to write any number. Like 346562232, 34654521155, 4003444656 etc.   Number System Number system deals with the study of different types of numbers. In this chapter, we will study about the categorization of different types of numbers. more...

 Operation on Numbers    Operation on Numbers In the previous chapter we have studied about numbers, way of numeration and some properties of numbers. In this chapter we will study operation on numbers. Addition, subtraction, multiplication and division are four basic arithmetic operations. Let us know about them.  Addition Under the operation of addition two or more than two numbers are added with each other.
  •       Example:
Add 544214474 and 904426456. Solution: 544214474 + 904426456 = 1448640930
  •     Example:
Add 798649665 and 23479725. Solution: 798649665 + 23479725 = 822129390  Subtraction Under the operation of subtraction, difference between two numbers is to be calculated.
  •       Example:
Subtract 234495 from more...

Categories of Computers   Introduction Computers are categorized on the basis of types of input signal processed by its peripherals, purpose of their use, physical structure, speed and reliability. Two types of signal are usually processed by the computer, these are digital and analog signal. Some types of computer processes both analog and digital signal. Therefore, depending on the types of input signal processed by computer, they are categorized into three groups.   v  Digital computers work on digital signal. v  Analog computers work on analog signal. v  Hybrid computers work on both digital and analog signal.   In this chapter we will study more about these classification.   Digital Computer   A digital computer is a computer that stores data in terms of binary more...

Understanding Windows 10   Introduction Microsoft windows is a Graphical User Interface operating system. If has features which guides the user to perform the specific task using the operating system. An operating system is a software component of a computer system that is responsible for the management of various activities of the computer and the sharing of computer resources. Generally, a computer uses two types of programs, application and system program users and application programs access the services offered by the operating -system, by means system calls and application programming interfaces. Users interact with a computer operating system though Command Line Interfaces (CLI) or Graphical User Interface (GUI). Some of the common operating systems are Linux, Windows etc.   Start menu When click on the start button, start menu appears on the screen giving all the available options to start using the Windows. Overview of the more...


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