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Which statements are true? Select all that apply.

8.7 hectometers = 87 kilometers
4.02 centigrams = 40.2 milligrams
0.001 milliliter = 0.1 liter
0.004 meter = 0.000004 kilometer
A 2-column table with 7 rows. Column 1 has entries kilo, hecto, deka, unit, deci, centi, milli. Column 2 has entries 1,000, 100, 10, 1, 0.1, 0.01, 0.001.

1 answer

To determine which statements are true, let's convert each statement and see if they hold true based on the conversions related to metric prefixes.

  1. 8.7 hectometers = 87 kilometers:

    • 1 hectometer (hm) = 0.1 kilometers (km), therefore:
    • 8.7 hm = 8.7 * 0.1 km = 0.87 km
    • This statement is false.

  2. 4.02 centigrams = 40.2 milligrams:

    • 1 centigram (cg) = 10 milligrams (mg), therefore:
    • 4.02 cg = 4.02 * 10 mg = 40.2 mg
    • This statement is true.

  3. 0.001 milliliter = 0.1 liter:

    • 1 milliliter (mL) = 0.001 liters (L), thus:
    • 0.001 mL = 0.001 * 0.001 L = 0.000001 L
    • This statement is false.

  4. 0.004 meter = 0.000004 kilometer:

    • 1 meter (m) = 0.001 kilometers (km), therefore:
    • 0.004 m = 0.004 * 0.001 km = 0.000004 km
    • This statement is true.

Based on this analysis, the true statements are:

  • 4.02 centigrams = 40.2 milligrams
  • 0.004 meter = 0.000004 kilometer