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A number is said to be rational if it can be expressed as a ratio of two integers. That is, a number x is rational if and only if it is equivalent to p/q for some integers p and q where q is not 0.
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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 3.456 a rational or irrational number?
It is a rational number. It can be written as a fraction.
Can you subtract two rational numbers and get an irrational number?
Do you mean can we subtract one rational number from another rational number and get an irrational number as the difference? I'm not a mathematician, but I suspect strongly the answer is no. Wouldn't this imply that we can sometimes add a rational number to an irrational one, and get a rational number as a sum? That doesn't seem possible.Ans 2.It isn't possible. Proof :-Given two rational numbers, multiply the two denominators.Express each rational in terms of the common multiple.Algebraically add the numerators of the new rational numbers.Put this over the common multiple; there's the result expressed as a ratio.
If x is a rational number and y is an irrational number what can you say about x plus y?
It is irrational.
Is 0.74 a rational or irrational number?
It is a rational number, as it can be written as a fraction.
What is -2 rational number?
The given whole number of -2 is a rational number
How do you find a rational number between two given rational numbers?
Add them together and divide by 2 will give one of the rational numbers between two given rational numbers.
Why is the smallest rational number?
There can be no such thing. Given any rational number, x, the number x/2 is also rational and is smaller than x. This process can be continued for ever.
What irrational numbers can turn into a rational number?
No irrational number can turn into a rational number by itself: you have to do something to it. If you multiply any irrational number by 0, the answer is 0, which is rational. So, given the correct procedure, every irrational number can be turned into a rational number.
What can you say about the decimal expansion of any rational number?
If its a rational number then its decimal equivalent can be expressed as a fraction
What is the example rational numbers?
Given any two integers, x and y, such that y is not 0, then x/y is a rational number. So for example, 3476/43 is a rational number.
Can you have unlimited number of equivelant fractions to any given number?
Yes providing that they are rational numbers
Is twenty over nineteen a rational number?
Yes. A rational number can be written as a simple fraction where the numerator and denominator are integers, given that the denominator does not equal 0.
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.
Is the change in the value of an account when given to the nearest dollar a irrational number?
No, it is rational.
A short note on square root of rational number?
Square root of a rational number may either be rational or irrational. For example 1/4 is a rational number whose square root is 1/2. Similarly, 4 is 4/1 which is rational and the square root is 2 which of course is also rational. However, 1/2 and 2 are rational, but their square roots are irrational. We can say the square root of a rational number is always a real number. We can also say the rational numbers whose square roots are also rational are perfect squares or fractions involving perfect squares.
What number matches the number that follows 984339.78?
There is no such number. The given number is rational and rational numbers are infinitely dense. Between any two rational numbers - no matter how close together - there are an infinite number of rational numbers. That means, whatever number you propose as the "next" number, there are infinitely many numbers between 984339.78 and your proposed number. So it cannot be the "next".
