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Joined: 26 Dec 2018
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Which of the following has a decimal equivalent that is a terminating
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31 Dec 2018, 00:25
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43% (00:57) correct 57% (00:49) wrong based on 76 sessions
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Which of the following has a decimal equivalent that is a terminating decimal? I. 1/128 II. 1/225 III. 1/384 A. I only B. II only C. I and II D. I and III E. I, II and III
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Re: Which of the following has a decimal equivalent that is a terminating
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31 Dec 2018, 00:37
For a fraction to have a decimal equivalent that is a terminating decimal, the denominator of the fraction must be power(s) of 2, or of 5, or of both 2 & 5.
I. 1/128 1/128 = 1/(2^7). Hence, this fraction will have a decimal equivalent that is a terminating decimal
II. 1/225 1/225 = 1/(5^2 x 3^2). Hence, this fraction will have a decimal equivalent that is NOT a terminating decimal.
III. 1/384 1/384 = 1/(2^7 x 3). Hence, this fraction will have a decimal equivalent that is NOT a terminating decimal.
Therefore, the Correct Answer is Option A. I only
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Re: Which of the following has a decimal equivalent that is a terminating
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31 Dec 2018, 09:08
DisciplinedPrep wrote: For a fraction to have a decimal equivalent that is a terminating decimal, the denominator of the fraction must be power(s) of 2, or of 5, or of both 2 & 5.
I. 1/128 1/128 = 1/(2^7). Hence, this fraction will have a decimal equivalent that is a terminating decimal
II. 1/225 1/225 = 1/(5^2 x 3^2). Hence, this fraction will have a decimal equivalent that is NOT a terminating decimal.
III. 1/384 1/384 = 1/(2^7 x 3). Hence, this fraction will have a decimal equivalent that is NOT a terminating decimal.
Therefore, the Correct Answer is Option A. I only Hello! Thanks for the explanation, I just have one question related to the wording: "For a fraction to have a decimal equivalent that is a terminating decimal, the denominator of the fraction must be power(s) of 2, or of 5, or of both 2 & 5." Is it JUST powers of 2 and 5? Because all the factions above have powers of either 2 or 5. Thank you!



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Joined: 26 Dec 2018
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Re: Which of the following has a decimal equivalent that is a terminating
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31 Dec 2018, 20:42
jfranciscocuencag wrote: DisciplinedPrep wrote: For a fraction to have a decimal equivalent that is a terminating decimal, the denominator of the fraction must be power(s) of 2, or of 5, or of both 2 & 5.
I. 1/128 1/128 = 1/(2^7). Hence, this fraction will have a decimal equivalent that is a terminating decimal
II. 1/225 1/225 = 1/(5^2 x 3^2). Hence, this fraction will have a decimal equivalent that is NOT a terminating decimal.
III. 1/384 1/384 = 1/(2^7 x 3). Hence, this fraction will have a decimal equivalent that is NOT a terminating decimal.
Therefore, the Correct Answer is Option A. I only Hello! Thanks for the explanation, I just have one question related to the wording: "For a fraction to have a decimal equivalent that is a terminating decimal, the denominator of the fraction must be power(s) of 2, or of 5, or of both 2 & 5." Is it JUST powers of 2 and 5? Because all the factions above have powers of either 2 or 5. Thank you! Hi, A fraction can be terminating if it has powers of 2 or 5 or both in the denominator. For eg. 1/2 = 0.5; 1/5 = 0.2; 1/10 = 0.1. See the wording in the question can be understood easily by above examples. On the other hand when the denominator is other than 2 or 5 or 2&5 then the fraction is not terminating for eg. 1/3 =0.3333333....
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Which of the following has a decimal equivalent that is a terminating
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02 Jan 2019, 03:25
Solution To find:• Which of the given options has a decimal equivalent that is terminating decimal? Approach and Working: We know that if denominator contains either 2 or 4 or 5 or 8 or combination of these then the fraction will be a terminating decimal I. \(128 = 2^7\) – Thus, \(\frac{1}{128}\) is a terminating decimal II. \(225 = 3^2 * 5^2\) – Thus, \(\frac{1}{225}\) is not a terminating decimal III. \(384 = 2^7 * 3\) – Thus, \(\frac{1}{384}\) is not a terminating decimal Hence, the correct answer is Option A Answer: A
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Re: Which of the following has a decimal equivalent that is a terminating
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02 Jan 2019, 03:31
UB001 wrote: Which of the following has a decimal equivalent that is a terminating decimal?
I. 1/128 II. 1/225 III. 1/384
A. I only B. II only C. I and II D. I and III E. I, II and III Since the numerator of all the 3 numbers are 1. We can check only for denominators. 128  2^7 > Only 2's. Hence Terminating Decimal 225  3*3*5*5 > NonTerminating Decimal 384  2^7 * 3 > NonTerminating Decimal



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Joined: 02 Aug 2009
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Re: Which of the following has a decimal equivalent that is a terminating
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12 Jan 2019, 00:30
UB001 wrote: Which of the following has a decimal equivalent that is a terminating decimal?
I. 1/128 II. 1/225 III. 1/384
A. I only B. II only C. I and II D. I and III E. I, II and III Terminating decimal means the denominator is of the form \(2^a*5^b\), where a and b can be any NONNEGATIVE integerlet us therefore, concentrate only on denominators.. I. 1/128.... denominator is 128 => \(128=2^7\)...YES II. 1/225.... denominator is 225 => \(225=5^2*7\)...NO III. 1/384.... denominator is 384 => 384 is a multiple of 3 as 3+8+4=12 and 12 is a multiple of 3...NO Only I, A
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Re: Which of the following has a decimal equivalent that is a terminating &nbs
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