Question

Covert 8.01 x 10^-4 kg/cm^3 to cg/mm^3. (in scientific
notation)

Answer 1

To convert 8.01 x 10^-4 kg/cm^3 to cg/mm^3, we multiply by 100,000 to convert kg to cg and divide by 1,000 to convert cm^3 to mm^3, resulting in 8.01 x 10^-2 cg/mm^3 in scientific notation.

Step-by-step explanation:

To convert 8.01 x 10^-4 kg/cm^3 to cg/mm^3, we need to consider the conversion factors between kilograms to centigrams and cubic centimeters to cubic millimeters.

First, we convert kilograms to centigrams by noting that 1 kg equals 100,000 centigrams (1 kg = 100000 cg).

Then, we convert cubic centimeters to cubic millimeters, knowing that 1 cm^3 is equivalent to 1000 mm^3 (1 cm^3 = 1000 mm^3).

Now we can perform the conversion: (8.01 x 10^-4 kg/cm^3) x (100000 cg/kg) x (1 cm^3 / 1000 mm^3) which simplifies to 8.01 x 10^-4 x 100 cg/mm^3 or 8.01 x 10^-2 cg/mm^3 in scientific notation.

Answer 2

To convert 8.01 x 10^-4 kg/cm^3 to cg/mm^3, we need to use scientific notation and convert the units accordingly.

Step 1: Understand the given value

The given value is 8.01 x 10^-4 kg/cm^3. This means that there are 8.01 parts per 10,000 parts of a kilogram per cubic centimeter.

Step 2: Convert kg to cg

To convert kilograms (kg) to centigrams (cg), we need to multiply by 10^5 since there are 10^5 cg in 1 kg.

8.01 x 10^-4 kg/cm^3 x 10^5 cg/kg = 8.01 x 10^1 cg/cm^3

Step 3: Convert cm^3 to mm^3

To convert cubic centimeters (cm^3) to cubic millimeters (mm^3), we need to multiply by 1000 since there are 1000 mm^3 in 1 cm^3.

8.01 x 10^1 cg/cm^3 x 1000 mm^3/cm^3 = 8.01 x 10^4 cg/mm^3

Therefore, 8.01 x 10^-4 kg/cm^3 is equivalent to 8.01 x 10^4 cg/mm^3 in scientific notation.