DETERMINING THE NATURE OF THE DECIMAL EXPANSION OF RATIONAL NUMBERS REAL NUMBERS 01 Class 10th Mathematics (Practice Sheet) 1 Which of the following is a recurring decimal? A. 0.875 B. 0.363636... C. 0.112 D. 0.112 2 If the denominator of a rational number has prime factors of 2 and 5, what type of decimal expansion does it have? A. Terminating B. Non-terminating recurring C. Non-terminating non-recurring D. It depends on the numerator. 3 Which of the following numbers cannot be expressed in p q form? A. 0.123123... B. 0.0625 C. 0.0625 D. 0.2 4 If a rational number has a denominator of 11, what is the nature of its decimal expansion? A. Terminating B. Non-terminating recurring C. Non-terminating non-recurring D. It depends on the numerator 5 What will be the largest number that divides 100 and 25, and leaves 3 as remainder in each case? A. 7 B. 5 C. 1 D. 4 6 Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 1. 13 3125 2. 17 8 7 The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational, and of the form, p q what can you say about the prime factors of q? 1. 43.123456789 2. 0.120120012000120000. . . 8 Express 7 64 , 12 125 and 451 13 in decimal form. 9 The decimal expansion of the rational no. 43 2 45 3 will terminate after how many of decimals? 10 Write the following rational numbers in decimal form: 1. 42 100 2. 27 8 Page 1 Email: Phone No: Website:
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