Empty set A set which does not contain any element is called an Empty set, or null set or void set. Empty set is denoted by { } or ∅ (Greek letter phi). Curly braces having no elements on it. Example: 1. The set of natural numbers less than 0, because there is no elements in the empty set. […]
Read More →Plot Points on Cartesian Coordinate System Example: Plot the point (2, 3) and identify its position in which quadrant is located. First we will place a dot at the intersection of X and Y axis, which is the center of the Cartesian coordinate and known as the origin. From the origin, move 2 units going right. Our point is […]
Read More →Cartesian Coordinate System Cartesian Coordinate system developed in seventeenth century by Rene Descartes the great French philosopher and mathematician. Cartesian Coordinate system, also called rectangular Coordinate system and used to position of points on a two dimensional or three dimensional plane. Let’s briefly learn about Cartesian Coordinate system. Cartesian Coordinate plane The plane is called Cartesian plane […]
Read More →Divisibility by 10 A number divisible by 10, If it has 0 (zero) in its, ones place. The multiples of 10 is 10, 20, 30, 40, 50, 60 70…. We get something common in these numbers. We see that each of these numbers has 0 in its ones place. Some more numbers like 100, 200, 1100, 1000, 4020, 5010, has 0 […]
Read More →Worksheets – Set Theory 8 Different Types of Questions on Sets with Answers. Question (1) Which of the following are sets. (i) The collection of all good books in a library. (ii) The collection of all even numbers less than 10. (iii) The collection of all dishonest people in a village. (iv) The collection of all students in […]
Read More →Even Numbers: Definition, Example, Properties and List of Even Numbers from 1 to 1000 Definition: If we divide any integer by 2, and remainder is zero, we get an even number. Simply, If any integer divide exactly by 2, is an even number. The last digit of even numbers is 0, 2, 4, 6, 8. Example: 12, 10, […]
Read More →Trigonometric Ratios of Some Specific Angles Trigonometric Ratios Here are Trigonometric Ratios of some Specific angles, 00, 300, 450 , 600 and 900. Example: (1) Find the value of sin600 cos300 + sin300 cos600 Values of Trigonometric Ratios from above table, sin 600 = √3/2, […]
Read More →Positive Numbers Definition- A Positive Number is a number, that is greater than zero. Example – 3 is a positive number(positive 3) and also written as “+” symbol in front of the number. Note- Zero is neither positive nor negative.
Read More →Decimal Expansions of Real Numbers There are three types of decimal expansions of real numbers. 1.Terminating 2. Non Terminating, Repeating 3. Non Terminating, Non Repeating 1.(Terminating) The remainder becomes zero. Let us take examples to know it. Example 1: Expansion of 7/4 In the example of 7/4 we found that after some steps the remainder becomes zero and the decimal […]
Read More →What are Rational Numbers ? Rational numbers are a fundamental concept in mathematics. Here is a detailed explanation of rational numbers: The word comes from “Ratio”, means comparison of two or more numbers. The natural numbers, whole numbers and integers all are the set of a rational number means any number that can be rewritten […]
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