Current Affairs 7th Class

 Visualising Solid Shapes
  • Description of Some Basic Shapes:
            (i) Square                                   It has four sides and four corners.                   All its sides are of the same length.               (ii) Rectangle                 It has four sides and four corners.                               The opposite sides of a rectangle are of the same length.             (iii) Triangle                            It has three sides and three vertices.                                                                                 (iv) Cuboid                It has 6 flat faces, 12 straight edges and 8 vertices.               (v) Cube               (vi) Cylinder                                       It has 3 faces                                \[\to\]             1 curved face and 2 flat faces.             It has 2 curved edges.             (vii) Cone                           It has 2 faces                                \[\to\]             1 curved face and             It has 1 curved edge.    
  • Three dimensional shapes have length, breadth and height or depth.
  • Two-dimensional shapes have only length and breadth.
  • Three-dimensional (or 3 - D) shapes can be visualised on a two-dimensional (or 2-D) surface.
  • A net is a more...

Integers
  • Natural numbers (N): Counting numbers 1, 2, 3,…... etc., are called natural numbers.
            N= {1, 2.3, 4, …….}  
  • Representation of natural numbers on a number line: To represent natural numbers on a number line we should draw a line and write the numbers at equal distances on it as shown.
               
  • Whole Numbers (W): The set of natural numbers together with zero is known as the set of whole numbers.
            W= {0, 1, 2, 3 …...}  
  • Integers (Z): The set containing negatives of natural numbers along with whole numbers is called the set of integers.
                     1, 2, 3, 4, .... etc., are called positive integers and are denoted by\[{{Z}^{+}}\].               \[\therefore \]\[{{Z}^{+}}\]= {1, 2, 3, 4, .......}             -1, - 2, -3, - 4,  ...... etc., are called negative integers and are denoted by\[{{Z}^{-}}\].             \[\therefore \]\[{{Z}^{-}}\]= {..............-3,-2,-1}             Note:    1.Usually negative numbers are placed in brackets to avoid confusion arising due to two signs I evaluations. e.g., 3+ (-5) =-2
  • 0 is not included in ether\[{{\mathbf{Z}}^{\mathbf{+}}}\,\mathbf{or}\,{{\mathbf{Z}}^{\mathbf{-}}}\]. Hence, it is non – negative.
  •                 (i) To represent quantities like profit, income, increase, rise, high, north, east, above, depositing, climbing and so on, positive numbers are used.               (ii) To represent quantities like loss, expenditure, decrease, fall, low, south, west, below, withdrawing, sliding and so on, negative numbers are used.               Note:    1. 0 is neither positive nor negative.
  • The + sign is not written before a positive number.
  •             3.\[\frac{1}{2}\] and 0.3 are not integers as they are not whole numbers.  
    • Representation of integers on a number line: Integers are represented on the number line as shown.
                              On a number line when we             (a) Add a positive integer, we move to the right.             (b) Add a negative integer, we move to the left.             (c) Subtract a positive integer, we move to the left.             (d) Subtract a negative integer, we move to the right.    
    • Properties of integers:
                (i) Closure property: Closure property is satisfied with respect to addition, subtraction and multiplication in the set more...

    Fractions and Decimals
    • A fraction is a part of a whole.
    • A number of the form \[\frac{p}{q}\], where p and q are whole numbers and q\[\ne \]0 is known as a fraction.
    • In the fraction\[\frac{p}{q}\], p is called the numerator and q is called the denominator.
    • The numerator tells us how many parts are considered of the whole.
    • The denominator tells us how many equal parts the whole is divided into.
                  Note: Usually fractions are written in their lowest terms.             The numerator and the denominator of a fractions in its lowest are coprime.             That is, their H. C.F. is 1.  
    • Types of fractions:
                (i)  Simple fraction: A fraction in its lowest terms is known as a simple fraction.             e.g.,\[\frac{12}{25},\frac{5}{7},-\frac{4}{3}\,\,etc.,\]               (ii) Decimal fraction: A fraction whose denominator is 10, 100, 1000 etc., is called a decimal fraction.             e.g.,\[\frac{3}{10},\frac{7}{100},\frac{24}{1000},\frac{131}{1000}\,etc.\]               (iii) Vulgar fraction: A fraction whose denominator is a whole number other than 10, 100, 1000, etc., is called a vulgar fraction.               e.g.,\[\frac{2}{9},\frac{4}{13},\frac{11}{20},\frac{27}{109}etc.,\]               (iv) Proper fraction: A fraction whose numerator is less than its denominator is called a proper fraction.                                                                                                         e.g.,\[\frac{3}{7},\frac{5}{11},\frac{23}{40},\frac{73}{100}etc.,\]                                                                  (v) Improper fraction: A fraction whose numerator is greater than or equal to its denominator is called an improper fraction.                      e.g.,\[\frac{11}{7},\frac{25}{12},\frac{41}{36},\frac{53}{53}etc.,\]                                                            (vi) Mixed fraction: A number which can be expressed as the sum of a natural number and a proper fraction is called a mixed fraction.             e.g.,\[1\frac{3}{4},4\frac{5}{7},7\frac{3}{13},12\frac{6}{5}etc.,\]  
    • Like fractions: Fractions having the same denominator but different numerators are called like fractions.
                e.g.,\[\frac{5}{14},\frac{9}{14},\frac{11}{14},etc.,\]  
    • Unlike fractions: Fractions having different denominators are called unlike fractions,
                e.g.,\[\frac{2}{5},\frac{5}{7},\frac{9}{13},etc.,\]  
    • An important property: If the numerator and denominator of a fraction are both multiplied by the same none zero number, its value is not changed.
                Thus,\[\frac{3}{4},=\frac{3\times 2}{4\times 2}=\frac{3\times 3}{4\times 3}=\frac{3\times 4}{4\times 4}\,\,etc.,\]  
    • Equivalent fractions: A given fraction and the fraction obtained by multiplying (or dividing) its numerator and denominator by the same non-zero number, are called equivalent fractions.
                E.g., Equivalent fractions of \[\frac{9}{12}\]are \[\frac{3}{4},\frac{6}{8},\frac{12}{16}\] etc.,  
    • Method of changing unlike fractions to like fractions:
                Step 1: Find the L.C.M. of the denominators of all the given fractions.             Step 2: Change each of the given fractions into an equivalent fraction having denominator equal to the L.C.M. of the denominators of the given fractions.  
    • g., convert the fraction \[\frac{5}{6},\frac{7}{9}\,\,and\,\frac{11}{12}\] into like fractions.
                L.C.M. of 6, 9 and 12 = 3\[\times \]2 \[\times \]3 \[\times \] 2 = 36             Now,\[\frac{5}{6}=\frac{5\times 6}{6\times 6}=\frac{30}{36};\,\,\,\,\,\,\frac{7}{9}=\frac{7\times 4}{9\times 4}=\frac{28}{36}\] and             \[\frac{11}{12}\times \frac{11\times 3}{12\times 3}=\frac{33}{36}.\]             Clearly, \[\frac{30}{36},\frac{28}{36}\]and \[\frac{33}{36}\] are like fractions.  
    • Irreducible fractions: A fraction \[\frac{a}{b}\]is said to be irreducible or in lowest terms, if the more...

    Data Handling  
    • Representing data with the help of bars or rectangles of uniform width in a diagram is called a bar graph or a bar diagram.
    • Each bar represents only one value of the data and hence there are as many bars as there are values in the data.
    • The length of the bar indicates the value of the item. The width of the bar does not indicate anything.
    • All bars should rest on the same line called the base.
    • The bars may be drawn horizontally or vertically.
    • A double bar graph helps us to compare two collections of data at a glance.
                  Collection and Tabulation of Data:
    • The word data means information in the form of numerical figures or a set of given information.
    • Data obtained in the original form is called a raw data.
    • Arranging the numerical figures of a data in ascending or descending order is called an array.
    • Arranging the data in a systematic tabular form is called tabulation or presentation of the data.
    • Tabulated data is easy to understand and interpret.
    • Each numerical figure in a data is called an observation.
    • The number of times a particular observation occurs is called its frequency.
    • The difference between the highest and the lowest values of the observations in a given data is called its range
    • When the number of observations is large, we make use of tally marks to find the frequencies.
    • Tallies are usually marked in a bunch of five for the ease of counting.
     
    • Mean, mode and median:
    • Mean in statistics is the same as average in arithmetic. Average is a number that shows the central tendency of a group of observations.
    • For a raw data,
     
    • Mode: The observation which occurs for a maximum number of times is called the mode of the given data.
                \[\operatorname{Mean}=\frac{Sum\,\,of\,Observations}{Number\,of\,observatoins};\]                       \[\operatorname{Mean}\,of\,'n'\,\,Numbers=\frac{Sum\,\,of\,numbers}{Number\,of\,addends}\]  
    • Median: After arranging data in ascending or descending order of magnitudes the value of the middle term is called the median of the data.
                (i) When the number of observations is odd, there will be only one middle term and this term is the median.             (ii) When the number of observations is even, there will be two middle terms. The average of these two middle terms is the median of the data.  
    • Some situations in our life happen certainly. Some are impossible and some that may or may not happen. This is called chance or probability of an event to occur.
     

    Simple Equations  
    • Variable: A symbol which takes various values is known as a variable. Normally it is denoted by letters x, y etc.
     
    • Constant: A symbol having a fixed numerical value is called a constant.
                Sometimes, 'c', 'k' etc., are used as symbols to denote a constant.  
    • Coefficient: In the product of a variable and a constant, each is called the coefficient of the other. Sometimes, symbols like a, b, I, m etc., are used to denote the coefficients.
     
    • Expression: An expression can be defined as a combination of constants, variables and coefficients by some or all of the four fundamental mathematical operations (+,-, x and -). g.
                3y -14 here, 3 is the coefficient of 'y', 'y' is the variable and -14 is the constant.  
    • Equation: A statement of equality of two algebraic expressions involving a variable is called an equation.
     
    • Simple linear equation: An equation which contains only one variable of degree 1 is called a simple linear equation.
                e.g.                   (i)  3x - 2 = 5 - 4x          (ii) 2(t - 4) = 6                 (iii) 2y + 5 \[=\frac{Y}{6}-2\]                 (iv)\[\frac{p-6}{6}+\frac{2p}{7}=3\]  
    • Solution of an equation: The value of the variable, which when substituted in the given equation, makes the two sides LH.S. (Left Hand Side) and R.H.S. (Right Hand Side) of the equation equal is called the solution or root of that equation.
                e.g., 3x + 4=10\[\Rightarrow \] 3x 10-4 = 6     \[\Rightarrow \] x = 2  
    • Verification:
                Substituting x = 2, we have                      L.H.S. = 3x + 4 = 3 (2) + 4 = 6 + 4 = 10 = R.H.S.             x = 2 is a solution of the given equation 3x + 4 = 10.               Rules for solving an equation:
    • Same number can be added to both sides of an equation.
    • Same number can be subtracted from both sides of an equation.
    • Both sides of an equation can be multiplied by the same non-zero number.
    • Both sides of an equation can be divided by the same non-zero number.
    • Transposition: Any term of an equation may be taken to the other side with the sign changed.
     
    • This process is called transposition.
                e.g., 4x-5=3x+5 \[\Rightarrow \]4x = 3x+5+5                         \[\Rightarrow \] 4x - 3x = 10                                     \[\Rightarrow \]x=10                         [Transposing \['-5'\]to R.H.S]             [Transposing '3x' to LH.S.]  
    • Cross multiplication: If \[\frac{ax+b}{cx+d=}\frac{p}{q}\]= then q(ax + b) = p(cx + d).This process is called cross multiplication.
        more...

      A Shirt in the Market   You have understood that there are different types of markets where you can buy different types of goods. You have read about the supply chain briefly in the previous chapter. In this chapter, you will get to know in detail about how goods pass through various stages till they reach you, the consumer, and how different people play different roles in this chain.   In a supply chain, there is a network of people and activities involved in trading to move a product or service from the supplier to the customer. The people involved in the supply chain earn money at their level. As the product or service moves in the chain of supply towards the consumer the rates of the product or service increase. Hence, the more the people involved in the supply chain, the higher is the price of the service or product.   STORY OF A SHIRT   Cotton is produced at a farm and undergoes various stages of spinning, weaving, dyeing, tailoring, etc., before it becomes a shirt. The wholesalers and retailers who earn the major chunk of profit are merely agents in the chain of sale.   A Cotton farmer   Shivram is a cotton farmer in Salem, Tamil Nadu. He grows cotton in his small field. When the harvest is ready and he collects enough kapas1 in his godown; he loads them in a lorry or a bullock cart and takes them to the wholesale market or mandi. Shivram sells his cotton to Ratan, a wholesaler at the mandi in pothis2. He earns Rs. 0,000 for his entire produce of cotton. Shivram will use this money to buy new seeds, farming equipment and fulfil his daily needs over the next few months. Ratan, on the other hand, sells the same cotton in quintals and earns much more than Shivram.   Q. Do you think the money Shivram gets is sufficient to lead a good life?   A wholesale market of cotton   Textile mill owners approach the wholesale dealer at the mandi to buy cotton. Ratan sells Shivram's produce at Rs. 5,000 for each quintal to Shambhu and earns a profit.   A wholesale market of cotton Shambhu owns a cotton gin in Tirupur. He has employed many spinners who spin cotton into yarn. After the cotton yarn is spun, Shambu sells it at a high price to traders at the Tirupur cloth market.   Raghu is a trader at the Tirupur cloth market. Raghu buys the yarn from Shambu and gives it to his weavers to weave cloth. He pays each of his weavers a salary of 2,000 per month. Sita is a weaver employed by Raghu. She works 10-12 hours more...

    Markets Around Us   Where do you get your household articles from? Where do you get your stationery, cosmetics and clothes from? Where do you get fruit, vegetables and groceries from? Of course, you get all these things from the market. You get everything you need in your daily life from the market. You go there to shop. What is a market? How do goods reach there and from where? Who are the people and which are the agencies involved in producing an article and reaching it to you? We will get to know all this and much more in this chapter.   Markets are places of trade. They serve as a link between the producers and the consumers and ensure distribution of goods and services in a society. A market is a place that brings together a buyer and a seller to exchange goods or services at a fixed or flexible price that is agreeable to both.   Markets were first held in open places, usually in the centre of villages and towns. Bartering of farm produce, clothing and tools took place there. Barter is a system where goods or services are directly exchanged for other goods or services without using money, for example, trading a cow for some sacks of rice or wheat, or a bag of sugar for utensils and clothes. There was no standard unit of exchange. At times, it was not possible to swap goods for other goods in an equable way. Money was created as a tool to help man avoid this problem.   Barter system   Q. why do you think barter system did not work for long?   RETAIL MARKETS   Retail markets include shops at fixed locations such as weekly markets, local neighbourhood markets, supermarkets and malls. These are all consumer markets.         WEEKLY MARKETS   Weekly markets are set up in almost every district on different days of the week. They are called by different names such as Monday market, Shani bazaar, etc. One can buy fresh vegetables and fruits, clothes, stationery and many other things at very reasonable prices at these markets. The vendors of this market have stands, carts or even sell their goods spread on the ground. This is because they shift from one area to another. Farmers and craftspersons get an opportunity to sell their goods directly to the consumer at these markets. Such markets are also called haats.   A Weekly market   Haats or street markets are popular because they are affordable and colourful. They are set up everywhere and offer all goods ranging from food to clothes. The rates of the items are lower as the vendors make purchases from the wholesale markets or handicraft the goods themselves. These markets are also more...

      Role of Gender   When a child is born, the first thing one wants to know about the child is whether it is a boy or a girl. To be a girl or a boy is an important aspect of one's identity in a society. The society we grow up in tells us how a girl should behave, what kind of behaviour is expected from a boy, what a girl or boy can or cannot do, etc. This forms fixed ideas in our minds about gender roles and we form gender stereotypes. Not all societies behave in the same way as ours. Ours is a patriarchal society where the roles played by women are valued less than the roles men play. But there are matriarchal societies also though very rare, where women are valued over men. This chapter will deal with all gender roles and try to wipe out gender bias against women in our society.   It is Sunday. Aarti and Sohan are excited about their grandmother's visit. Her train will arrive in two hours. There is a lot of work to do. Aarti has already got up early and taken a bath. "Aarti, come and help me set the breakfast table. Spread butter on these slices and then prepare the tea," mother orders. Solian is still languishing in bed. "Aarti, I need another packet of milk for preparing klieer. Could you go over to Sheela auntie's house and bring one?" says mother. Aarti goes to her neighbour's house. Sohan wakes up and calls out for a cup of tea. Aarti returns with the milk packet and keeps it in the kitchen. "Mother, I want to call up Sunidhi. It is her birthday today," she tells her mother. "Do that later, Aarti. Solzan has got up. Go and give him tea in his room," says her mother. Aarti does as told. Sohan is playing a video game. Aarti's eyes brighten for a minute and then she remembers that Sohan never lets her play with it. "It is not for girls," he says. Aarti calls up Sunidhi to wish her. Sunidhi invites her for her birthday party. Sohan comes out of his room and informs his mother, "Mother, I am going to see a movie with Raj in the evening. It is the latest Disney release...all right?" "Okay, but meet dadi before you go," mother answers. Aarti too wants to go out. Meekly, she asks, "Mother, can I also go out in the evening? Sunidhi has invited me for her birthday party." Aarti's mother is silent and then says, "Aarti, it would be dark before you return. It is not safe for you to stay out after dark. Besides, I will need your help in the house." Aarti tries again, "But mother, Sohan is going out too." Aarti's mother replies firmly, "Sohan is a boy. He can do as he pleases." Aarti does not argue.   From the day Aarti more...

      Understanding Advertising   Our days are surrounded with advertisements. Switch on the television or the radio, an advertisement jingle1 hits our ears and we begin singing and humming along with it. If an advertisement slogan2 is catchy, we find ourselves repeating it all day long. Pick up the newspaper and we see big colourful advertisements glaring at us on the very first page; Step out of the house we see advertisements on massive billboards in the streets alluring us. Click on a site on the Internet and promptly an advertisement pops up. Ever thought what these advertisements are trying to do? Why do these advertisements catch our attention and stay in our mind? Read the chapter and you will come to know.   Aisha Bhimani is a 32-year-old housewife residing in Delhi. To ease her kitchen work, she wants to buy a food mixer. However, she does not know which is the best brand available in the market. She looks up the advertisements in the local newspaper. There she sees an advertisement of a mixer which claims that it is the best brand in terms of price and features. It also says that a juicer and dry grinder come absolutely free with the purchase of the mixer. Excited at the offer/ she visits the nearest showroom and purchases it.   What makes Aisha go for that particular brand?   Is it the advertisement in the newspaper?   WHAT IS ADVERTISING?   Advertising is a form of communication between the seller of a product and its buyer. An advertisement is used to persuade an audience to buy a certain product or service and thus promote business. Advertising messages are usually paid for by sponsors3 and viewed via various types of media such as newspapers, magazines,   Q. Rohan is watching a movie and enjoying himself. Only the movie has very long repetitive advertisements in between. He finally gets frustrated and stops watching the movie. What might he be feeling?   Advertisements on the television and in the newspaper Television, internet, text messages, banners, billboards, hoardings and announcements. Thus, advertising can be defined as the act of calling public attention to one's products, services, needs, etc., especially by paid announcements through the mass media.   PURPOSE OF ADVERTISING   As early as 1836, French newspaper La Presse included paid advertising in its pages. This made it possible for the newspaper to lower its price. Doing this, its readership increased   Know a Little More HD television came as a relief for television viewers as besides offering high definition it also offered advertisement-free programmes.   And thus there was an increase in its sale. This explains why newspapers and magazines have entire pages devoted to advertisements and why there are so many advertisements more...

      Understanding Media   English papers took nine months to reach India in the 18th century. How fast do you receive information today? What are the means by which we come to know about what is happening in another corner of the world? Why is it important to receive news and information on time? The answer to all these questions lies in knowing about the media. In this chapter, we will come to know about media in democracy.   'Media' is the plural form of the Latin word medium, meaning 'an intervening agency, or instrument'. We use the media to communicate. We write letters to our family members and Friends, call up people on the telephone, send documents and photographs through email, fax, etc., to share information or communicate with each other. These agencies or instruments like the letter, telephone, fax and email enable us to communicate with one or few persons and are means of personal media. But today, we are not frogs in the well. What happens in one comer of the world affects us all in a big way. The media has made such information accessible to us. Radio, television, newspapers, magazines and the Internet reach and influence a large number of people. These sources are called the mass media.   CHANGE IN MEDIA TECHNOLOGY   How and when did we begin to communicate? What are the different means of communication? When did mass media come to India? These could be the questions in your mind.   Communication developed gradually. Humans started to speak and communicate with words about 60,000 years ago. They began to write nearly 5,000 years ago. The printing press was invented some 600 years ago and people began to publish various thoughts and findings. Books which educated the masses came into being. Radio was invented only 110 years back followed by the television 30 years later. The radio and television were also sources of entertainment. When the Internet came about 45 years ago, it revolutionised the world of communication. With a click of a button one could travel all over the world. Children could explore and learn about the world around them.   In India, print media came into existence in 1780 with the introduction of a newspaper-The Bengal Gazette. The radio was developed in 1924 and the television in 1959. The quality and range of media has also evolved with the upgrading of technology.   Today we find 24-hour news channels, music Videos, nature documentaries, and reality shows about everything. There are also movies available on demand from cable providers or television and videos available online for streaming or downloading. We have access to media in taxis and buses, in classrooms and doctors' offices, and even in aeroplanes.   The Internet has become a medium that allows everyone the ability to express their opinions, for example, through blogging and social networking.   more...


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