Convert each of the given quantities to the equivalent unit indicated. Write your answer in the space provided. Round to the tenths place when appropriate.

[tex]\[ 8 \text{ lb } 4 \text{ oz } = \quad \text{ kg} \][/tex]



Answer :

Let's convert the weight from pounds and ounces to kilograms. We'll go through this step by step.

1. Convert pounds to kilograms:
- We start with 8 pounds.
- The conversion factor is [tex]\(1 \text{ pound} = 0.453592 \text{ kilograms}\)[/tex].
- Thus, [tex]\(8 \text{ pounds} = 8 \times 0.453592 = 3.628736 \text{ kilograms}\)[/tex].

2. Convert ounces to kilograms:
- We have 4 ounces.
- The conversion factor is [tex]\(1 \text{ ounce} = 0.0283495 \text{ kilograms}\)[/tex].
- Therefore, [tex]\(4 \text{ ounces} = 4 \times 0.0283495 = 0.113398 \text{ kilograms}\)[/tex].

3. Add the kilograms from pounds and ounces:
- Total kilograms [tex]\(= 3.628736 \text{ kilograms}\)[/tex] from pounds [tex]\(+ 0.113398 \text{ kilograms}\)[/tex] from ounces.
- [tex]\(3.628736 + 0.113398 = 3.742134 \text{ kilograms}\)[/tex].

4. Round to the tenths place:
- We need to round [tex]\(3.742134\)[/tex] to the tenths place.
- The rounded value is [tex]\(3.7\)[/tex].

Thus, [tex]$8 \text{ lb} 4 \text{ oz}$[/tex] is equivalent to approximately [tex]\(3.7 \text{ kg}\)[/tex].

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