Question

The number 8/7 obviously has no exact representation in any decimal floating:

a) Only base 8
b) Only base 10
c) Both base 8 and 10
d) None of the bases

Answer 1

The number 8/7 does not have an exact decimal representation in either base 8 or base 10, as both would result in a repeating decimal.

Step-by-step explanation:

The subject question is regarding whether the fraction 8/7 has an exact representation as a decimal in any numerical base system. The correct answer is that the fraction 8/7 has no exact decimal representation in either base 8 or base 10. In base 10, which is the decimal system, 8/7 results in a repeating decimal of 1.142857... Since the decimal repeats infinitely, it does not have an exact representation. Similarly, in base 8, 8/7 would also not have an exact representation, as no integer base system can precisely represent fractions where the denominator is not a factor of the base raised to some power.