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R was used for Real numbers. Q, for rational numbers refers to the fact that it must be possible to express them as quotients [of two integers].

Q: Why is q represented for rational numbers not R?

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The set of rational numbers is represented by Q.

In number systems Rational number is not represented just by q . they are represented in the form of p and q . P/q is rational number where q is not equal to zero.

There is no special symbol.The set of rational numbers is denoted by Q and the set of real numbers by R so one option is R - Q.

No: Let r be some irrational number; as such it cannot be represented as s/t where s and t are both non-zero integers. Assume the square root of this irrational number r was rational. Then it can be represented in the form of p/q where p and q are both non-zero integers, ie √r = p/q As p is an integer, p² = p×p is also an integer, let y = p² And as q is an integer, q² = q×q is also an integer, let x = q² The number is the square of its square root, thus: (√r)² = (p/q)² = p²/q² = y/x but (√r)² = r, thus r = y/x and is a rational number. But r was chosen to be an irrational number, which is a contradiction (r cannot be both rational and irrational at the same time, so it cannot exist). Thus the square root of an irrational number cannot be rational. However, the square root of a rational number can be irrational, eg for the rational number ½ its square root (√½) is not rational.

You need the rules of multiplication as well as of addition. But multiplication of integers can be viewed as repeated addition. Thus, if p/q and r/s are two rational numbers then their sum is(p*s + q*r)/(q*s)

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There is no representation for irrational numbers: they are represented as real numbers that are not rational. The set of real numbers is R and set of rational numbers is Q so that the set of irrational numbers is the complement if Q in R.

It stands for the quotient. The letter R stands for the set of Real numbers.

The set of rational numbers is represented by Q.

The letter R was used for real numbers. So Q, for quotients was used for rational numbers.

A rational number is a number of the form p/q where p and q are integers and q > 0.If p/q and r/s are two rational numbers thenp/q + r/s = (p*s + q*r) / (q*r)andp/q - r/s = (p*s - q*r) / (q*r)The answers may need simplification.

The set is represented by Q. They form the set of rational numbers and the Q comes from quotient.

p/q * r/s = (p*r)/(q*s)

A rational number is a number which can be expressed in the form p/q where p and q are integers and p>0.If p/q and r/s are two rational numbers then(p/q)*(r/s) = (p*r)/(q*s).You may need to check that this fraction is in its lowest (simplest) form.

There is no specific symbol. The symbol for real numbers is R and that for rational numbers is Q so you could use R \ Q.

The defining characteristic is that they can be represented in the form of a ratio, p/q, of two integers, where q > 0.

In number systems Rational number is not represented just by q . they are represented in the form of p and q . P/q is rational number where q is not equal to zero.

There is no special symbol.The set of rational numbers is denoted by Q and the set of real numbers by R so one option is R - Q.