WebThe correct option is A. 17 36. A fraction is terminating only when the prime factors of denominator contains only 2 and 5. Otherwise, the fraction is non-terminating and repeating. For e.g. The prime factors of 250, 25 and 32 in option A, B and C respectively contain only 2 and 5. 250 =2×53, thus 3 250= 0.012 (terminating decimal) Web6 mrt. 2024 · The content of the theorem is that any rational number, and only a rational number, has a repeating or terminating decimal expansion. A decimal expansion of the number, is if we write it in the decimal system, for instance 2.365 2.365, these can also go forever, such as 1.41421356\dots 1.41421356…. This means that when we write any …
7.1: Rational and Irrational Numbers - Mathematics …
Web29 nov. 2013 · A number is rational if and only if it has an eventually repeating decimal representation. So a number like 4.212121... or 4.999212121... is rational, while the number 4.212112111211112... is not. Share Cite Follow answered Nov 29, 2013 at 19:13 user61527 Add a comment 14 Webrational number any number that can be expressed as a ratio (a/b) where a and b are integers and b is nonzero irrational number any real number that is not rational; in decimal form, all irrational numbers are nonterminating and nonrepeating perfect square a number whose square root is rational colorado rockies official website
Identifying Rational Decimal Numbers Algebra Study.com
Web25 nov. 2016 · It is known that a rational number n/d which cannot be reduced (by removing common factors) has this property if and only if d is divisible by 2 or by 5 and is not divisible by any other prime number. 4 We could easily construct a method to determine if an already-reduced rational number has that property. WebA rational number is any number that can be expressed in the form of p q, where p, q are integers and q ≠ 0. So 3 2 qualifies as a rational number right? But, in decimal form, 3 … Web16 mrt. 2024 · Finding if Decimal Number is rational or irrational Last updated at March 16, 2024 by Teachoo Let us find if decimal numbers are rational or irrational Let us look at some examples Q: Is 2.5 a rational number? -a- Since 2.5 has a terminating expansion So, it is a rational number. -ea- Q: Is 0.142857142… a rational number? -a- colorado rockies opening day