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Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion: 23 / 8 
  • a)
     non-terminating non – repeating decimal
  • b)
     non-terminating repeating decimal 
  • c)
    non-terminating decimal
  • d)
     terminating decimal
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Without actually performing the long division, state whether the follo...
The given number is 23 / 8
We know a rational number is expressed in simplest form p/q and if q can be expressed as ×, then it is a terminating decimal. Clearly, 2 and 5 are not the factors of 23.
8 can be expressed in terms of its primes as 2 × 2 × 2
Or, 8 =., where m = 3 and n = 0
Since q can be expressed in the form of., we can say 23/8 is a terminating decimal.
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Most Upvoted Answer
Without actually performing the long division, state whether the follo...
We have, 238238 and here the denominator is 8.  ⇒ 8 = 23 x 5  We see that the denominator 8 of 238238 is of the form 2m x 5n, where m, n are non-negative integers.  Hence, 238238 has terminating decimal expansion. And, the decimal expansion of 238238 terminates after three places of decimal.Read more on Sarthaks.com - https://www.sarthaks.com/623388/actually-performing-division-whether-following-rational-numbers-terminating-expansion
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Community Answer
Without actually performing the long division, state whether the follo...
Terminating decimal expansion.
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Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion: 23 / 8a)non-terminating non – repeating decimalb)non-terminating repeating decimalc)non-terminating decimald)terminating decimalCorrect answer is option 'D'. Can you explain this answer?
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