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Yes, the sum is always rational.

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6y ago
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6y ago

Yes.

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Q: Is a Rational number plus rational number equals rational number?
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Related questions

Is a rational plus an irrational equals a rational?

No. A rational plus an irrational is always an irrational.


If x is a rational number and y is a rational number than is x plus y rational?

If both numbers are rational then x plus y is a rational number


Is a rational number plus a rational number always a rational number?

Yes, it is.


Why does a rational number plus an irrational number equal an irrational number?

from another wikianswers page: say that 'a' is rational, and that 'b' is irrational. assume that a + b equals a rational number, called c. so a + b = c subtract a from both sides. you get b = c - a. but c - a is a rational number subtracted from a rational number, which should equal another rational number. However, b is an irrational number in our equation, so our assumption that a + b equals a rational number must be wrong.


Can a rational number plus an irrational number equal a rational number?

No, never.


Is 17 plus 0.02 rational or irrational?

They add up to 17.02 which is rational number


Why does a rational number plus a rational number or a rational number multiplied by a rational number equal to rational number?

The way in which the binary functions, addition and multiplication, are defined on the set of rational numbers ensures that the set is closed under these two operations.


Is a rational number plus a rational number rational?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Is 15 plus 0.07 a rational or irrational numer?

The sum is a rational number.


Is 12 plus 0.05 rational or Irrational number?

It can be written as a fraction, so it is rational.


Is 10 plus 0.01 rational oe irrational?

10+0.01 = 10.01 and it is a rational number


Why is the sum of an rational number and irrational number an irrational number?

The rational numbers form a field. In particular, the sum or difference of two rational numbers is rational. (This is easy to check directly). Suppose now that a + b = c, with a rational and c rational. Since b = c - a, it would have to be rational too. Thus you can't ever have a rational plus an irrational equalling a rational.