Answer :
Sure, let's work through this step by step.
### Step-by-Step Solution:
#### Given:
The average weight of an adult one-horned male rhinoceros is 21 quintals.
#### Part (a): Write the average weight of the rhinoceros in kilograms (kg).
1 quintal equals 100 kilograms. Therefore, to convert the weight from quintals to kilograms:
[tex]\[ \text{Weight in kilograms} = 21 \text{ quintals} \times 100 \text{ kilograms/quintal} \][/tex]
[tex]\[ \text{Weight in kilograms} = 2100 \text{ kilograms} \][/tex]
So, the average weight of the rhinoceros is 2100 kilograms.
#### Part (b): Express the weight in kilograms in scientific notation.
To express the weight in scientific notation:
[tex]\[ 2100 \text{ kg} = 2.10 \times 10^3 \][/tex]
So, the average weight of the rhinoceros in scientific notation is [tex]\(2.10 \times 10^3\)[/tex] kilograms.
#### Part (c): Convert the weight into grams and express it in scientific notation.
1 kilogram equals 1000 grams. Therefore, to convert the weight from kilograms to grams:
[tex]\[ \text{Weight in grams} = 2100 \text{ kilograms} \times 1000 \text{ grams/kilogram} \][/tex]
[tex]\[ \text{Weight in grams} = 2,100,000 \text{ grams} \][/tex]
To express this weight in scientific notation:
[tex]\[ 2,100,000 \text{ grams} = 2.10 \times 10^6 \][/tex]
So, the average weight of the rhinoceros in grams in scientific notation is [tex]\(2.10 \times 10^6\)[/tex] grams.
### Summary:
- The average weight of the rhinoceros in kilograms is 2100 kg.
- The average weight in kilograms in scientific notation is [tex]\(2.10 \times 10^3\)[/tex] kg.
- The average weight in grams in scientific notation is [tex]\(2.10 \times 10^6\)[/tex] grams.
### Step-by-Step Solution:
#### Given:
The average weight of an adult one-horned male rhinoceros is 21 quintals.
#### Part (a): Write the average weight of the rhinoceros in kilograms (kg).
1 quintal equals 100 kilograms. Therefore, to convert the weight from quintals to kilograms:
[tex]\[ \text{Weight in kilograms} = 21 \text{ quintals} \times 100 \text{ kilograms/quintal} \][/tex]
[tex]\[ \text{Weight in kilograms} = 2100 \text{ kilograms} \][/tex]
So, the average weight of the rhinoceros is 2100 kilograms.
#### Part (b): Express the weight in kilograms in scientific notation.
To express the weight in scientific notation:
[tex]\[ 2100 \text{ kg} = 2.10 \times 10^3 \][/tex]
So, the average weight of the rhinoceros in scientific notation is [tex]\(2.10 \times 10^3\)[/tex] kilograms.
#### Part (c): Convert the weight into grams and express it in scientific notation.
1 kilogram equals 1000 grams. Therefore, to convert the weight from kilograms to grams:
[tex]\[ \text{Weight in grams} = 2100 \text{ kilograms} \times 1000 \text{ grams/kilogram} \][/tex]
[tex]\[ \text{Weight in grams} = 2,100,000 \text{ grams} \][/tex]
To express this weight in scientific notation:
[tex]\[ 2,100,000 \text{ grams} = 2.10 \times 10^6 \][/tex]
So, the average weight of the rhinoceros in grams in scientific notation is [tex]\(2.10 \times 10^6\)[/tex] grams.
### Summary:
- The average weight of the rhinoceros in kilograms is 2100 kg.
- The average weight in kilograms in scientific notation is [tex]\(2.10 \times 10^3\)[/tex] kg.
- The average weight in grams in scientific notation is [tex]\(2.10 \times 10^6\)[/tex] grams.