Convert 209 U.S. pounds into grams using dimensional analysis. Use [tex]$1 \text{ kg} = 2.2 \text{ lb}$[/tex]. Round to 2 decimal places. If necessary, add the appropriate number of zeros.

[tex]\[ \text{grams} = \][/tex]



Answer :

Sure, let's convert 209 U.S. pounds into grams step by step.

1. Convert pounds to kilograms:
- We know the conversion factor between pounds and kilograms: 1 kilogram (kg) is approximately equal to 2.2 pounds (lbs).
- To convert pounds to kilograms, we divide the weight in pounds by 2.2.
[tex]\[ \text{{weight in kg}} = \frac{{209 \text{{ lbs}}}}{{2.2 \text{{ lbs/kg}}}} \approx 95.00 \text{{ kg}} \][/tex]

2. Convert kilograms to grams:
- Next, we need to convert kilograms to grams. We know that 1 kilogram is equal to 1000 grams.
- To convert kilograms to grams, we multiply the weight in kilograms by 1000.
[tex]\[ \text{{weight in grams}} = 95.00 \text{{ kg}} \times 1000 \text{{ grams/kg}} = 95000.0 \text{{ grams}} \][/tex]

3. Round the result to 2 decimal places:
- Lastly, we need to round the result to two decimal places. In this case, the value 95000.0 is already in a suitable format.
[tex]\[ \text{{weight in grams (rounded)}} = 95000.0 \text{{ grams}} \][/tex]

Thus, 209 U.S. pounds is approximately 95000.0 grams when converted and rounded to two decimal places.