Which Number Produces A Rational Number When Added To 0.5

Which number produces a rational number when added to 0.5
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A.square root of 3 B.1/4 C.0.54732871 D.-1.73205081 asked Feb 12, 2019 in Algebra 1 Answers by answer comment

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0.5 is a rational number. To keep the sum rational, the addend must also be rational. The square root of a number which is not itself a perfect square is irrational, so A cannot be the answer, because the sum would be irrational. B is a rational number and therefore when added to 0.5 produces another rational number, 0.75.

C and D are rational if the decimals are terminated as shown. Irrational numbers have non-terminating decimals. However D looks like -√3 to 8 places of decimals and C may be another irrational number accurate to 8 decimal places.

The most likely answer is B.

[If the question had been: which number produces an irrational number when added to 0.5, the answer would have certainly been A.]

answered Feb 12, 2019 by Top Rated User (1.2m points) ask related question comment

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Which number produces a rational number when added to 0.25 answered Oct 26, 2020 by ask related question comment

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