To determine how many centigrams (cg) are equivalent to 81 kilograms (kg), we will convert kilograms to centigrams through a series of steps, involving conversions to grams (g) and then to centigrams.
1. Understand the conversion factors:
- 1 kilogram (kg) is equal to 1000 grams (g).
- 1 gram (g) is equal to 100 centigrams (cg).
2. Convert kilograms to grams:
- Given value: 81 kilograms.
Using the conversion factor between kilograms and grams:
[tex]\[
81~\text{kg} \times 1000~\frac{\text{g}}{\text{kg}} = 81,000~\text{g}
\][/tex]
3. Convert grams to centigrams:
- The resultant value from the previous step: 81,000 grams.
Using the conversion factor between grams and centigrams:
[tex]\[
81,000~\text{g} \times 100~\frac{\text{cg}}{\text{g}} = 8,100,000~\text{cg}
\][/tex]
Therefore:
[tex]\[
81~\text{kg} = 8,100,000~\text{cg}
\][/tex]
In standard form, the final answer is:
[tex]\[
8.1 \times 10^6~\text{cg}
\][/tex]
