Questions and Answers
Which of the following statements is true about rational numbers?
They can always be written in the form $\frac{p}{q}$ where $p$ and $q$ are integers and $q = 0$.
What is a key characteristic of irrational numbers?
Their decimal expansion is always non-repeating.
Which of the following is true about the decimal expansion of rational numbers?
It can be either terminating or non-terminating recurring.
If $r$ is a rational number and $s$ is an irrational number, what can be said about $rs$?
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For positive real numbers $a$ and $b$, which of the following identities always holds?
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How can the denominator of $\frac{1}{a+b}$ be rationalized?
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