Questions and Answers
Irrational numbers cannot be written in the p ⁄ q form. There is a unique real number that can be represented on a number line. If r is one such rational number and s is an irrational number, then (r + s), (r – s), (r × s) and (r ⁄ s) are ______.
irrational
Formulas Any number that can be written in the form of p ⁄ q where p and q are integers and q ≠ 0 are ______ numbers.
rational
For positive real numbers, the corresponding identities hold together ______.
irrational
Study Notes
Characteristics of Irrational Numbers
- Irrational numbers cannot be written in the p ⁄ q form.
- There is a unique real number that can be represented on a number line.
Operations with Rational and Irrational Numbers
- If r is a rational number and s is an irrational number, then (r + s), (r – s), (r × s) and (r ⁄ s) are irrational numbers.
Rational Numbers
- Any number that can be written in the form of p ⁄ q, where p and q are integers and q ≠ 0, are rational numbers.
Identities for Positive Real Numbers
- For positive real numbers, the corresponding identities hold together.
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