Sure, let's tackle this question step-by-step.
Problem Statement:
The average weight of an adult one-horned male rhinoceros found in Nepal is approximately 21 quintals. We need to:
a. Write the average weight in kilograms.
b. Express the weight in kilograms in scientific notation.
c. Convert the weight to grams and then express it in scientific notation.
### Solution:
#### a. Average weight in Kilograms
1 quintal is equal to 100 kilograms. Therefore, to convert the average weight from quintals to kilograms, we multiply the number of quintals by 100.
[tex]\[
\text{Average weight in kilograms} = 21 \, \text{quintals} \times 100 \, \text{kg/quintal}
\][/tex]
[tex]\[
\text{Average weight in kilograms} = 21 \times 100 = 2100 \, \text{kg}
\][/tex]
So the average weight of the rhinoceros in kilograms is 2100 kg.
#### b. Average weight in Scientific notation (Kilograms)
Scientific notation is a way of expressing numbers that are too big or too small in a compact form. It expresses numbers as a product of a number between 1 and 10 and a power of 10.
For 2100 kg, we can write it as:
[tex]\[
2100 \, \text{kg} = 2.10 \times 10^3 \, \text{kg}
\][/tex]
So in scientific notation, the average weight in kilograms is [tex]\(2.10 \times 10^3 \, \text{kg}\)[/tex].
#### c. Average weight in Grams in Scientific notation
To convert the average weight from kilograms to grams, we multiply the number of kilograms by 1000 (since 1 kg = 1000 grams).
[tex]\[
\text{Average weight in grams} = 2100 \, \text{kg} \times 1000 \, \text{g/kg}
\][/tex]
[tex]\[
\text{Average weight in grams} = 2100 \times 1000 = 2100000 \, \text{g}
\][/tex]
Next, we express this weight in scientific notation:
[tex]\[
2100000 \, \text{g} = 2.10 \times 10^6 \, \text{g}
\][/tex]
So in scientific notation, the weight in grams is [tex]\(2.10 \times 10^6 \, \text{g}\)[/tex].
### Summary
To summarize:
a. The average weight of the rhinoceros in kilograms is 2100 kg.
b. The average weight in kilograms in scientific notation is [tex]\(2.10 \times 10^3 \, \text{kg}\)[/tex].
c. The average weight in grams is 2100000 g, and in scientific notation it is [tex]\(2.10 \times 10^6 \, \text{g}\)[/tex].
