0
Add your answer:
Earn +20 pts
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.
Is 17 plus 0.02 rational or irrational?
They add up to 17.02 which is rational number
Is 12 plus 0.05 rational or Irrational number?
It can be written as a fraction, so it is rational.
Does an irrational plus a rational number equal an irrational number?
Yes, always.
Is an irrational number plus an irrational number equal a rational or an irrational number?
An irrational number is a number that has no definite end. So it can't be multiplied or divided by anything to make a rational number that does have a definite end.
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
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.
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 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.
