decimal expansion of root 5 is terminating or non terminating The decimal expansion of 5 is a a terminating decimal b a terminating or recurring decimal c a non terminating and non recurring decimal d none of these Choose the correct option Answer 6 people found it helpful harsh24117 report flag outlined Answer C a non terminating and non repeating decimal Find Math textbook
Result with terminating decimals only non periodic part Result with only repeating decimals and Mixed result both non periodic and periodic parts The first case is the easiest to analyze To find the Since these numbers do not contain decimals that continue without end they are considered examples of terminating decimal numbers By comparison a number such as the square root of 2 or 2 is a different story The decimal equivalent of the square root of 2 turns out to be 1 4142135624
decimal expansion of root 5 is terminating or non terminating
decimal expansion of root 5 is terminating or non terminating
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The fraction 5 10 has the decimal expansion of 0 5 which is a terminating decimal expansion because digits after the decimal point end after one digit A rational number has either a terminating decimal expansion or a non A non terminating decimal is a decimal number that goes on forever without reaching an end or settling into a repeating pattern It is a number that cannot be expressed as a fraction with finite digits Instead
Terminating decimals Terminating decimals mean it does not reoccur and end after a finite number of decimal places For example 543 534234 27 2 etc Non terminating decimals It means that the decimal numbers have infinite digits after the decimal point For example 54543 23774632439473747 827 79734394723 etc A terminating decimal expansion is a decimal number that has a finite number of digits after the decimal point It is the decimal representation of a fraction where the denominator after reducing the fraction to lowest terms is a power of 10 For example the fraction frac 3 4 has a terminating decimal expansion of 0 75
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4 Find out whether 5 348 is a terminating or a non terminating decimal Solution The given decimal is 5 348 Multiply and divide it by 1000 we get 5 348 frac 5 348 times 1000 1000 frac 5348 1000 It s a Without actual division find whether the rational number dfrac 1323 264600 is terminating or non terminating I know that to solve this we have to convert the denominator into the formula 2 n 5 m
Decimal representation of rational numbers is a method of finding decimal expansion of the given rational number or converting a rational number into an equivalent decimal number using long division Decimal form of a Also to be considered a repeating decimal the repeating digits cannot all be zero For non terminating decimals that do not repeat not all of the digits are known No matter how many digits are known there will always be a digit following it that needs to be determined Below is a non terminating and repeating decimal example Non
1 Check Whether 75 455 Is Terminating Or Non terminatingdecimal
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decimal expansion of root 5 is terminating or non terminating - Otherwise the remainders will begin to repeat after some point and you have a repeating decimal Example 1 Convert the fraction 5 8 to a decimal The division is as follows 0 625 8 5 000 48 20 16 40 40 0 So 5 8 0 625 This is