Sets and Venn Diagrams The relationship between sets can be represented by diagrams is known as Venn Diagrams. In venn diagrams,  1. A rectangle is represent a universal set. 2. Circles or ovals are represent other subsets of the universal set. Example: The set of Natural numbers is a subset of set of Whole numbers, which […]

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Fraction – Introduction Definition: In mathematics, A fraction is a numerical value, that represents a part of a whole. When an object or group of objects is divided into equal parts, then each individual part is a fraction. A fraction can be a portion of any quantity out of the whole and whole can be […]

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 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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Set Theory      In our everyday life we often speak about collections of objects.  A particular kind of sets such as, a football team, a group of students, bunch of flowers, etc. In mathematics, we also come across the collections, For example – Whole numbers, factors, natural numbers etc. In simply we can say it’s a […]

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Proper and Improper Fractions Proper Fraction: Definition A “Proper Fraction” is a fraction whose numerator is smaller than it’s denominator. Example: In below figure 1/5, is a proper fraction because numerator 1 is smaller than denominator 5. Similarly, 4/9, 3/7 and 5/8 are a proper fractions because every fraction has numerator is smaller than denominator. Some more […]

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Mixed Numbers Definition: A “Mixed Number” is combination of a whole number and a fraction. Example: If we have two whole cakes and one half cake, then we describe this as 2 and 1/2 cakes or 2 1/2 cakes. 2 1/2 (Two and a half) is a mixed number.It is also called Mixed fraction. Writing mixed numbers as fraction Mixed numbers can […]

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Representation of numbers on Number Line Natural numbers Natural numbers : A set of counting numbers, is known as natural numbers. N = (1, 2, 3, 4, 5,…..) This is a number line for Natural Numbers. Whole numbers Whole numbers : When we add the number zero (0) to the natural numbers, we get whole numbers. W = […]

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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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Place Value – Charts – Definition, Facts, Examples, With Solutions What is Place Value We across all time various numbers consists of digits. Digits may be one digit or two digits, three digits or many more. As the name suggests, Place Value is related to the position or place. The value of each digit in […]

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