answersLogoWhite

0

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].

User Avatar

Wiki User

10y ago

Still curious? Ask our experts.

Chat with our AI personalities

MaxineMaxine
I respect you enough to keep it real.
Chat with Maxine
JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga

Add your answer:

Earn +20 pts
Q: Why is q represented for rational numbers not R?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Math & Arithmetic

What is the symbol of a rational number?

The set of rational numbers is represented by Q.


Why set of rational number is denoted 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.


What is the symbol of irrational numbers?

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.


Is the square root of an irrational number rational?

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.


How are the rules for adding integers applied to operations with rational numbers?

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)