Negative Exponents In this tutorial, we will learn about negative exponents. When we change a negative exponent into positive exponent, we write the reciprocal of the given positive exponent. Negative sign means the reciprocal of the given number. For any non zero number a, (a-m = 1/am). Where m is a positive integer and a-m […]

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Exponents and Power Rules In this chapter we will learn about exponent and power. These are very large numbers, and difficult to read, and compare. To make these numbers easy to read, compare and understand we use exponents. Exponents  Definition: When a number repeatedly multiply by itself, we raise it to a power. This is known as […]

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Whole numbers – Definition – Symbol and Examples What are Whole Numbers In our number system, various kinds of numbers such as; natural numbers, odd and even numbers, whole numbers, real numbers etc. In 628 A.D., first time the Indian mathematician and astronomer, Brahmagupta invented the number zero. Zero is used as a placeholder, it […]

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  Factor – Definition and Examples   Definition: A number break up into another numbers that can be multiplied together and get original number. or A number that divides into another number exactly and without leaving a remainder is a Factor. or A factor is a number that is divisible by another number and the quotient […]

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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 […]

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Odd numbers Definition: If any integer that can not divide exactly by 2, is an odd number. Simply, If we divide any integer by 2, and remainder is one, we get an odd number. The last digit of odd numbers is 1, 3, 5, 7, 9, 11… Example: 11, 23, 35, 47, 69, all are odd numbers. […]

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 Important sets in Mathematics  1.  N = Set of all “Natural” numbers. 2.  W = Set of all “Whole” numbers. 3.  Q = Set of all “Rational” numbers. 4.   Z = Set of all “Integers”. 5.  R = Set of all “Real” numbers. 6.  Z +  = Set of “Positive” Integers. 7. Q + = Set of “Positive Rational” numbers. 8.  R +  = Set of “Real” numbers.

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 Positive Integers on Number Line A number line shows positive integers on the right side of the zero.  We understand the concept in a better way with the help of examples.   Example: Below number line represents integer 4 an d 4 is a positive integer, so, 4 is right side of 0.       […]

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How to express Rational Numbers in Standard Form Definition: If in a rational number, numerator and denominator have no common factor other than 1, and its denominator is a positive integer then the rational number will be in a standard form. Standard form is also known as simplest form or lowest form.  Example: 1. Convert the rational […]

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