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Would the difference of a rational number and a rational number be rational?
Wiki User
∙ 10y ago
The difference of two rational numbers is rational. Let the two rational numbers be a/b and c/d, where a, b, c, and d are integers. Any rational number can be represented this way. Their difference is
a/b-c/d
= ad/bd-cb/bd
= (ad-cb)/bd.
Products and differences of integers are always integers. This means that ad-cb is an integer, and so is bd.
Thus, (ad-cb)/bd is a rational number (since it is the ratio of two integers). This is equivalent to the difference of the original two rational numbers.
Wiki User
∙ 10y ago
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What would be difference of 2 rational numbers?
Another rational number.
Is the difference of two rational numbers a rational number?
Yes.
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.
Must the difference between two rational be a rational number?
Yes, it must.
Must the difference between two rational numbers be a rational number?
Yes.
Is the difference of two rational numbers always rational?
Yes. This is the same as asking for one rational number to be subtracted from another; to do this each rational number is made into an equivalent rational number so that the two rational numbers have the same denominator, and then the numerators are subtracted which gives a rational number which may possibly be simplified.
How the difference of two rational numbers can be rational and irrational?
There is no number which can be rational and irrational so there is no point in asking "how".
What is the difference between a whole number and a real number?
An example of a whole number would be this >>> 2 1/3 Except a real number would be any rational Or irrational number :)
Can difference between two irrational number can results in rational number?
Yes. 2+sqrt(3) and 5+sqrt(3). Their difference is 3, which is rational.
The difference of two rational numbers is always a rational number?
Yes, that's true.
Would 0.37 be integer whole number or rational number?
It is a rational number.
What is the difference between a rational number and a natural number?
a rational number is different from a natural number because a rational number can be expressed as a fraction and natural numbers are just countinq numbers =D
