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Interactive practice · 18 questions on classifying numbers (natural, whole, integer, rational, irrational, real), simplifying before classifying, and the real number line, with step-by-step solutions.
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Easy To which sets does \(-5\) belong? Select all that apply.
Answer: C, D, F
Easy To which sets does \(0\) belong? Select all that apply.
Answer: A, C, D, F
Easy To which sets does \(\sqrt{13}\) belong? Select all that apply.
Answer: C, F
Easy To which sets does \(-\dfrac{9}{37}\) belong? Select all that apply.
Answer: D, E
Medium To which sets does \(\sqrt{225}\) belong? Select all that apply.
Answer: A, B, C, D, E
Easy To which sets does \(\pi\) belong? Select all that apply.
Answer: D, F
Medium To which sets does \(4.5\overline{6}\) belong? Select all that apply.
Answer: C, F
Hard To which sets does \(3.050050005\ldots\) belong? Select all that apply.
Answer: C, E
Medium To which sets does \(-\sqrt{64}\) belong? Select all that apply.
Answer: B, E, F
Hard To which sets does \(\sqrt{\dfrac{4}{49}}\) belong? Select all that apply.
Answer: A, F
Easy To which sets does \(18\) belong? Select all that apply.
Answer: B, C, D, E, F
Medium To which sets does \(-0.083\) belong? Select all that apply.
Answer: A, D
Medium To which set does \(\dfrac{-43}{0}\) belong?
Answer: A — None; it is undefined
Medium Which number is irrational?
Answer: B — \(\sqrt{13}\)
Easy Simplify \(\sqrt{225}\).
\(\sqrt{225}=\)
Answer: \(15\)
Medium Which values make \(x\ge 6\) true? Select all that apply.
Answer: B, D and D
Hard Which values make \(x<3\) true? Select all that apply.
Answer: C, D and B
Easy On a number line, the graph of \(x\le 1\) uses a ______ circle at \(1\).
Answer: C — closed (filled) circle