What is an Equation Definition: An equation is a mathematical statement with an ‘equality’ sign between two algebraic expression. The equality sign shows that the value of the expression to the left of the side (LHS or left hand side) is equal to the value of the expression to the right hand side (RHS or […]
Read More →Multiplying Decimals Here we learn multiplication of decimals with whole numbers. How to multiply decimals step by step. Multiply decimals by one digit whole numbers Step: 1- First we place both numbers, then solve the multiplication problem as we normally would with whole numbers. Example 1: 3.4 x 7 Step: 2 Starting to right, multiply each digit […]
Read More →Proportion When two ratios or (fractions) are equal, then they are in Proportion. A proportion is an equality of ratios. The symbol “::” or “=” to equal represent the two ratios. It can be written in two ways 1. Colon form 2. Fractional form The terms a, b, c, […]
Read More →Given: Two triangles △ ABC and △ ABD are on same base (or equal bases) AB, and area of △ ABC and △ ABD are equal. Proof: CD ∥ AB Construction: Draw CE and DF perpendicular to AB.So DF is the height of △ ADB, and CE is the height of △ABC. CE perpendicular to AB and DF perpendicular to AB.Since, lines perpendicular to same line […]
Read More →Two triangles on the same base (or equal bases) and between the same parallels are equal in area. Given: △ ABC and △ PBC are two triangles on same base (or equal bases) BC and between the same parallels, BC and AP. To prove: ar △ ABC = ar △ PBC Construction: Through B, draw BD ∥ CA intersecting PA produced at D, and […]
Read More →Numerator and Denominator Numerator In math, the top number of a fraction that shows how many parts we have, is known as numerator. Denominator In math, the bottom number of a fraction that shows the number of equal parts of an item is divided into, is known as denominator. Numerator : Top number of a fraction Example: […]
Read More →Rules of Addition and Subtraction of like Terms In this lesson we will learn, how to add and subtract like terms Like Terms In an algebraic expression, like terms are terms that have same variables with same exponents and only the numerical coefficients of like terms are different. The terms must have the same variables […]
Read More →Similar Polygons Two polygons are similar if they have same shape, but not the same size. Similar polygons are polygons, if their corresponding angles are congruent, and the measure of their corresponding sides are proportional. The ratio of length of their corresponding sides are all in a constant ratio, and their corresponding angles are equal. […]
Read More →Regular polygon A polygon which has all sides are congruent(equal) and all angles are congruent (equal) is known as a regular polygon. If a triangle has all the sides are same and all the angles are same then it is a equilateral triangle or a regular triangle. If a quadrilateral has all the sides are same […]
Read More →Multiplication and division of Ratios If we multiplying or dividing the numerator and denominator by same number, we get same values. Suppose a ratio is 6:4 or 6/4 we multiply numerator and denominator by 2. 6×2/4×2 = 12/8 = 3/2 […]
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