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

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.

Answer 1

Let's evaluate each of the statements based on the metric table provided:

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

   • False: A dekagram is 10 grams, and a centigram is 0.01 grams. Therefore, there are 100 centigrams in a gram. To convert 34 dekagrams to centigrams, you would first convert dekagrams to grams (34 dekagrams x 10 grams/dekagram = 340 grams) and then convert grams to centigrams (340 grams x 100 centigrams/gram = 34,000 centigrams).

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

   • True: 1 kilogram is equal to 10 hectograms. Therefore, to convert 4.5 kilograms to hectograms, you multiply by 10 (4.5 kg x 10 hg/kg = 45 hg).

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

   • False: Since 1 milligram is 0.001 grams, to convert milligrams to grams you would divide by 1,000. So, 81 milligrams is 81 / 1,000 = 0.081 grams.

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

   • True: 1 hectogram is equal to 10 dekagrams. Therefore, to convert hectograms to dekagrams, you multiply by 10 (15.6 hg x 10 dag/hg = 156 dag).

Given this evaluation, the true statements are the second and the fourth ones:

• To find the number of hectograms in 4.5 kilograms, multiply 4.5 by 10.
• To find the number of dekagrams in 15.6 hectograms, divide by 10.