Practice Maths

Comparing and Ordering Real Numbers — Solutions

Click any answer to watch the solution video.

  1. Compare pairs using < > =

    1. √3 vs 1.7:
    2. 2/3 vs 0.6̇:
    3. π vs 3.14:
    4. √10 vs π:
    5. 5/4 vs √2:
    6. 0.3̇ vs 1/3:
    7. √7 vs 2.6:
    8. 3/8 vs 0.375:

  2. Order sets of four numbers

  3. Find a real number between two values

    1. Between 1.4 and √2≈1.414:
    2. Between π≈3.14159 and 3.15:
    3. Between 1/3≈0.333 and 0.34:
    4. Between √5≈2.2360 and 2.24:
    5. Between 0 and 0.001:
    6. Between 2/7≈0.286 and 3/7≈0.429:
    7. Between √2≈1.414 and √3≈1.732:
    8. Between 0.9̇ = 1 and 1.01:

  4. Position on number line

    1. √11:
    2. π:
    3. √50:
    4. 7/3:
    5. √(1/4):
    6. 3√2:
    7. 11/4:
    8. √30:

  5. Classify into Integers / Rational (not integer) / Irrational

    1. −5:
    2. 3/4:
    3. √7:
    4. 0:
    5. π:
    6. √25:
    7. 0.3̇:
    8. √2:
    9. 17:
    10. 2.75:
    11. √(9/4):
    12. √3 × √3:
    13. √2 + √3:
    14. 22/7:
    15. −0.5:

  6. Problem solving

  7. Convert-and-order table

    1. √3:
    2. 5/3:
    3. 1.73:
    4. π − √2:

  8. Mark on number line

  9. Mixed comparison grid

    1. 3/7 vs √(1/5):
    2. π2/10 vs √10−1:
    3. 4√2 vs √32:
    4. 2.2̇ vs √5:

  10. Extended problems