Various Type of Numbers Chart

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What is Decimal Numbers? Terminating and Non-terminating | Recurring and Non-recurring decimal

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Decimal Number Decimal numbers are numbers that are written according to their place value. The decimal point is used to separate whole part from number value less than one.A symbol is used " . ", this is called decimal point. Example: 65.894 where 65 is a whole part and 894 is a fractional part. Type of Decimals 1. Terminating Decimals  2. Non-terminating Decimals 1. Terminating Decimals Every fraction a/b can be expressed as a decimal. If the decimal expression of a/b terminates i.e. comes to end, then the decimal so obtained is called a terminating decimal. Example: 1/2 = 0.5                   5/4 = 1.25                 13/5= 2.6 Thus, each of the numbers 1/2, 5/4 and 13/5 can be expressed in the form of a terminating decimal. 2. Non-terminating Decimals While expressing a fraction in the form of decimal, when we perform division we get some remainder. If ...
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Rational Numbers & Irrational Numbers | Examples

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Rational Numbers The numbers of the form a/b, where a and b are integers and b ≠ 0 are known as rational numbers. Example: 1/2, -4/5, 0, -1, 2 etc. or A number which can be expressed as a terminating decimal or repeating decimal , is called a rational numbers. Example:   5/3 = 1.666666....... =  1. 6               16/45 = 0.355555 ...... = 0.3 5  etc. Important result all natural numbers, whole numbers and integers are rational numbers. We can understand above terms with a picture diagram. Irrational Numbers A number which can neither be expressed as a terminating decimal nor a repeating decimal , is called an irrational number. Thus, non-terminating, non-repeating decimals are irrational numbers. Examples : Type 1. 0.2020020002....... , 0.4040040004...... etc. are a non-terminating and non-repeating decimal, therefore these are irrational number. Type 2 : If n is positive which is not a perfect squa...
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