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Question: Name the subset(s) of the real numbers to which 0.444444.... belongs. A ) whole numbers, rational numbers, real numbers B ) rational numbers, real numbers C ) irrational numbers, real numbers D ) integers, rational numbers, real numbers Steps to derive 1 Let N = 0.44444... [First equation.]2 100 N = 44.444... [Second equation.]3 99 N = 44 [Subtract the first equation from the second equation.]4 N = 44 99 = 4 9 5 If a number can be expressed as a quotient of two integers, then it is a rational number. So, N = 0.44444. . . is a rational number.6 The set of rational numbers is a subset of the real numbers.
7 Therefore the subsets to which 0.44444. . . belongs to are: the rational numbers and the real numbers.Hence the right answer is Option B Click Here To Go Back Few Other Questions - What is the value of sin 0o + cos 60o?.. What is the value of tan 90°?.. What is the value of 8sin 30o?.. What is the length of hypotenuse in the graph, if θ = 45o?.. Cosine is represented as.. Which of the following trigonometric ratios is the ratio between adjacent side and hypoten.. Which relation is true for sin A, cos A, and tan A?.. Which of the following statements is true?.. What is the value of θ in the triangle?.. PQRS is a rectangle. Find the length of PT‾ without using Pythagorean theorem, if .. What is the value of 2 sin 45o - 2 cos 45o?.. What is the value of sin 27o rounded to the nearest thousandth?.. What is the area of the trapezoid, if the lengths of the parallel sides are 9 cm, 12 cm an.. Find the area of the parallelogram ABCD, if it is constructed by red and blue color trapez.. 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