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Which statement about converting metric units of measurement is true? Use the metric table to help answer the question.

Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
To find the number of centigrams in 34 dekagrams, divide 34 by 1,000.
To find the number of hectograms in 4.5 kilograms, multiply 4.5 by 10.
To find the number of grams in 81 milligrams, multiply 81 by 1,000.
To find the number of dekagrams in 15.6 hectograms, divide by 10.

1 answer

To evaluate the statements regarding metric unit conversions, let's analyze each one based on the metric table you've provided:

  1. "To find the number of centigrams in 34 dekagrams, divide 34 by 1,000."

    • Conversion logic: 1 dekagram (dag) = 100 grams (g), and 1 centigram (cg) = 0.01 grams = 1/100 of a gram.
    • Therefore, to convert dekagrams to centigrams, you first convert dekagrams to grams (34 dag = 34 * 100 g = 3400 g) and then to centigrams (3400 g = 3400 * 100 cg = 340,000 cg).
    • This statement is false.

  2. "To find the number of hectograms in 4.5 kilograms, multiply 4.5 by 10."

    • Conversion logic: 1 kilogram (kg) = 10 hectograms (hg).
    • Therefore, to convert kilograms to hectograms, you multiply by 10: 4.5 kg = 4.5 * 10 hg = 45 hg.
    • This statement is true.

  3. "To find the number of grams in 81 milligrams, multiply 81 by 1,000."

    • Conversion logic: 1 milligram (mg) = 0.001 grams (g).
    • Therefore, to convert milligrams to grams, you divide by 1,000: 81 mg = 81 / 1,000 g = 0.081 g.
    • This statement is false.

  4. "To find the number of dekagrams in 15.6 hectograms, divide by 10."

    • Conversion logic: 1 hectogram (hg) = 10 dekagrams (dag).
    • To convert hectograms to dekagrams, you multiply by 10: 15.6 hg = 15.6 * 10 dag = 156 dag.
    • This statement is false.

Based on this evaluation, the true statement is "To find the number of hectograms in 4.5 kilograms, multiply 4.5 by 10."