Algebraic Expressions Introduction to Algebraic Expressions Constant Constant is a quantity which has a fixed value. Terms of Expression Parts of an expression which are formed separately first and then added are known as terms. They are added to form expressions. Example: Terms 4x and 5 are added to form the expression (4x +5). Coefficient […]
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Perimeter and Area Area of path formed =(πR2-πr2) sq units =π(R2-r2) sq units =π(R+r)(R-r) sq units 1 cm2 = 100 mm2 1 m2 = 10000 cm2 1 dm2 = 100 cm2 1 km2 = 1000000 m2 1 hectare = 10000 m2 Perimeter Perimeter is the total length or total distance covered along the boundary of
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Rational Numbers pqrq [pr]q pq rs pq (additive inverse of rs) Rational Numbers A rational number is defined as a number that can be expressed in the form pq , where p and q are integers and q≠0. In our daily lives, we use some quantities which are not whole numbers but can be expressed
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Comparing Quantities Ratio and Proportion Percentages For example: 16%=16100 Profit and Loss Gain = (SP) – (CP) Loss = (CP) – (SP) Loss%=loss×100CP Simple Interest SI=P×R×T100 Prices related to an item (ii) Cost price Finding the profit or loss percentage Percentages Percentages are ratios expressed as a fraction of 100. Percentages are represented by the
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THE TRIANGLE AND ITS PROPERTIES A triangle is a simple closed curve made up of three line segments. Classification of triangles: On the basis of sides: A triangle is said to be On the basis of angles: A triangle is said to be Angle sum property of a triangle: The sum of all three interior
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Lines and Angles Line, line segment and ray We come across many shapes in daily life. Consider a triangle, a square or any other shape. To draw any of these figures, one begins with a line or a line segment or a curve. Depending upon the number and arrangement of these lines we get distinct
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Simple Equations Introduction to Simple Equations Variables and Expressions Variable is a quantity that can take any value, its value is not fixed. It is a symbol for a number whose value is unknown yet. Expressions are formed by performing operations like addition, subtraction, multiplication and division on the variables. Example: 6x – 3 is
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Data Handling Double Bar Graphs Double bar graphs are an effective tool to compare the values of two quantities for the same observation. For example, consider the marks obtained by five students of a class in two tests. Using a double bar graph, we can analyses which week students had better marks. Double Bar Graphs
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Fractions and Decimals Introduction: Fractions The word fraction derives from the Latin word “Fractus” meaning broken. It represents a part of a whole, consisting of a number of equal parts out of a whole. E.g. : slices of a pizza. 10, 39, 389 To know more about Fractions, visit here. Fractions play an important part
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Forests: Our Lifeline There are three major types of forests- tropical, temperate and boreal forests. Forest profile There are different kinds of plants of varied height and size in the forests. Parts of a tree above the stem, including the branches and leaves are collectively known as the Crown. Trees belonging to the genus Pinus
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