Sorting a Number Into Its Sets Worksheet with Answer Key

What's on the worksheet

1. Find each number's value where you can, then list every set it belongs to:
   \sqrt[3]{-27}\dfrac{22}{7}\dfrac{-48}{-6}\sqrt{50} - 7\sqrt{0.25}
2. Find the exact value of each quantity and list its sets:
3. Explain Mateo's mistake in each of five set lists and give the correct list:
4. List the whole numbers up to 30 for which a square root is rational.
5. Decide whether Naomi's two claims about a real number are true, with a proof or a counterexample:
6. Fill each blank with always, sometimes or never, with examples for each sometimes:
7. Decide from each digit rule whether the number is rational or irrational: