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Questions and Answers
Which of the following statements is true about rational numbers?
Which of the following statements is true about rational numbers?
- Their decimal expansion is always non-terminating.
- Rational numbers can never be negative.
- All rational numbers are integers.
- They can always be written in the form $\frac{p}{q}$ where $p$ and $q$ are integers and $q = 0$. (correct)
What is a key characteristic of irrational numbers?
What is a key characteristic of irrational numbers?
- They can always be expressed as fractions.
- The sum of an irrational number and a rational number is always irrational.
- Their decimal expansion is always non-repeating. (correct)
- Irrational numbers are a subset of rational numbers.
Which of the following is true about the decimal expansion of rational numbers?
Which of the following is true about the decimal expansion of rational numbers?
- It can be either terminating or non-terminating recurring. (correct)
- Rational numbers have unique decimal expansions.
- The decimal expansion of a rational number is always an integer.
- It is always non-recurring.
If $r$ is a rational number and $s$ is an irrational number, what can be said about $rs$?
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?
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?
How can the denominator of $\frac{1}{a+b}$ be rationalized?
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