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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.
Is 681 an rational number?
Yes
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.
What s happens when rational numbers are multplied?
The product of two rational numbers is always a rational number.
Is 681 a prime number?
No.
Is 0.1351351351351 a rational number?
Whether that's all there is to it, or the '135's keep going on forever, either way, it's a rational number.
Is 0.135135135135 a rational number?
Whether that's all there is to it, or the '135's keep going on forever, either way, it's a rational number.
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 3.456 a rational or irrational number?
It is a rational number. It can be written as a fraction.
What is a real number that is not rational a natural number or an integer?
no # all numbers are real #'s
Is 9.3808315 a rational or an irrational number?
Rational. It can be expressed a s fraction having integers for the denominator and numerator. ie 93,808,315/100,000,000
Is the product of a rational number and a rational number a rational number?
yes
How do you find equivalent rational number s?
Given a rational number, express it in the form of a ratio. You can then calculate equivalent rational fractions if you multiply both, its numerator and denominator, by any non-zero integer.
