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Earn +20 ptsQ: Is -6.81 s rational number
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Prove R is rational and S is irrational then R plus S must be irrational?
Let R + S = T, and suppose that T is a rational number.The set of rational number is a group.This implies that since R is rational, -R is rational [invertibility].Then, since T and -R are rational, T - R must be rational [closure].But T - R = S which implies that S is rational.That contradicts the fact that y is an irrational number. The contradiction implies that the assumption [that T is rational] is incorrect.Thus, the sum of a rational number R and an irrational number S cannot be rational.
Is -1.66 a rational or irrational number?
If the 6's continue, it is -5/3, and therefore it is rational. If they do not continue, it is -166/100, and still rational.
Is the product of a rational number and a rational number a rational number?
yes
What is 680.98 rounded to the nearest whole number?
681
Is a rational number multiplied a rational number rational?
Yes.
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