Rational numbers/Advanced Study

A rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator p and a non-zero denominator q.[1]

The rational numbers (ℚ) are included in the real numbers (ℝ), and in turn include the integers (ℤ), which include the natural numbers (ℕ)

Examples

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  1.  
  2. 5
  3. 0.2

Notice the number 5 in second example! It is because all numbers are divisible by 1 and at such it is actually   but it is more convenient to write it as 5. Note Though all numbers are divisible by 1 some numbers are considered irrational ie they cannot be represented in the form   also note that it impossible to have a number with 0 as the denominator (b must not be equal to 0 in  ).

Operations Involving Rational Numbers

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Addition

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  +   =  

Subtraction

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  -   =  

Multiplication

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   =  

Division

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  ÷   =    =  .

See Also

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References

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