Which conversion requires multiplication? 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
kiloliters to milliliters
centimeters to kilometers
milligrams to dekagrams
decimeters to hectometers

1 answer

To determine which conversion requires multiplication, we can analyze the conversion factors for each pair of units based on the metric table:

  1. Kiloliters to milliliters:

    • 1 kiloliter = 1,000 liters
    • 1 liter = 1,000 milliliters
    • Therefore, 1 kiloliter = 1,000,000 milliliters (1,000 x 1,000).
    • This conversion requires multiplication.
  2. Centimeters to kilometers:

    • 1 kilometer = 100,000 centimeters (1 km = 1000 m and 1 m = 100 cm).
    • This conversion also requires multiplication.
  3. Milligrams to dekagrams:

    • 1 dekagram = 10,000 milligrams (1 dag = 10 g and 1 g = 1,000 mg).
    • This conversion requires multiplication.
  4. Decimeters to hectometers:

    • 1 hectometer = 1,000 decimeters (1 hm = 100 m and 1 m = 10 dm).
    • This conversion also requires multiplication.

Since all conversions mentioned here require multiplication, they all fit the requirement of needing multiplication. However, if we must choose a specific one based on the potential complexity or scale of multiplication, kiloliters to milliliters is typically the largest scale conversion and is often considered the most illustrative of a multiplication conversion in metric.

In conclusion, all given conversions require multiplication, but kiloliters to milliliters is an example of a significant multiplication conversion.