High School

Perform each of the following conversions. Provide your answers in scientific notation.

a) Convert 78 cg to g

b) Convert 25 km to mm

c) Convert 67 lb to kg

Answer :

Final answer:

The unit conversions are 78 cg to 0.78 g (7.8 x 10^-1 g in scientific notation), 25 km to 25,000,000 mm (2.5 x 10^7 mm in scientific notation), and 67 lb to approximately 30.39 kg (3.04 x 10^1 kg in scientific notation).

Explanation:

To convert these measurements, you will need to be aware of the conversion factors between each unit. Let's start with the conversions:

  1. 78 cg to g: As there are 100 centigrams in a gram, we divide 78 by 100. This results in 0.78 grams or 7.8 x 10-1 g in scientific notation.
  2. 25 km to mm: There are 1,000,000 millimeters in a kilometer. So, 25 km equals 25,000,000 mm, or 2.5 x 107 mm in scientific notation.
  3. 67 lb to kg: The conversion factor from pounds (lb) to kilograms (kg) is approximately 0.453592. Hence, 67 lb equals approximately 30.39 kg, or 3.04 x 101 kg in scientific notation.

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