Let's convert 20.512 pounds to grams step-by-step.
1. Convert Pounds to Kilograms:
Given that [tex]\(1 \text{ pound} \approx 0.454 \text{ kg}\)[/tex], we can convert 20.512 pounds to kilograms.
[tex]\[
\text{Kilograms} = 20.512 \text{ pounds} \times 0.454 \text{ kg/pound}
\][/tex]
Calculating this, we get:
[tex]\[
\text{Kilograms} \approx 9.312448 \text{ kg}
\][/tex]
2. Convert Kilograms to Grams:
Since [tex]\(1 \text{ kg} = 1000 \text{ grams}\)[/tex], we convert the kilograms to grams.
[tex]\[
\text{Grams} = 9.312448 \text{ kg} \times 1000 \text{ grams/kg}
\][/tex]
Performing this conversion, we get:
[tex]\[
\text{Grams} \approx 9312.448 \text{ grams}
\][/tex]
3. Round the Result to Two Decimal Places:
Finally, we round the result to two decimal places.
[tex]\[
\text{Rounded Grams} \approx 9312.45 \text{ grams}
\][/tex]
Therefore, 20.512 pounds is approximately [tex]\(9312.45\)[/tex] grams.
