The Real Number Line Worksheet with Answer Key

What's on the worksheet

1. Find the number exactly halfway between each pair:
   -\dfrac{1}{2} and \dfrac{1}{3}0.9 and 1-3\dfrac{1}{4} and −3\dfrac{5}{9} and \dfrac{4}{7}−0.07 and 0.007
2. Decide if each number lies between 0.12 and 0.13 and if it is rational or irrational:
   0.1\overline{2}0.121121112111121… (one more 1 in each run)\dfrac{\sqrt{2}}{10}0.12 + \dfrac{\sqrt{2}}{1000}\dfrac{1}{8}
3. Use a compass construction on the number line to find a point at a square root.
4. Show no fraction with denominator 40 lies between two fractions, then find one with denominator 80.
5. Test Kevin's claim about negatives and inequalities.
6. Find rational and irrational numbers between square roots, with reasons.
7. Find points one half and one third of the way between two numbers.