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directions: convert the following weight as indicated. round weight to …

Question

directions: convert the following weight as indicated. round weight to the nearest tenth.

9 lb, 9 oz = _____ kg

Explanation:

Convert ounces to pounds

Using the Ounce to Pound Conversion knowledge point, we convert the ounce portion of the weight into pounds. Since \(1\text{ lb} = 16\text{ oz}\):

$$ 9\text{ oz} = \frac{9}{16}\text{ lb} = 0.5625\text{ lb} $$

Adding this to the \(9\text{ lb}\) gives the total weight in pounds:

$$ 9\text{ lb} + 0.5625\text{ lb} = 9.5625\text{ lb} $$

Convert pounds to kilograms

Using the Kilogram to Pound Conversion knowledge point, we convert the total weight in pounds to kilograms. The standard medical conversion factor is \(1\text{ kg} = 2.2\text{ lb}\):

$$ \text{Weight in kg} = \frac{9.5625\text{ lb}}{2.2\text{ lb/kg}} \approx 4.34659\text{ kg} $$

Round to the nearest tenth

Using the Decimal Rounding knowledge point, we round the calculated value of \(4.34659\text{ kg}\) to the nearest tenth. The hundredths digit is \(4\), so we round down:

$$ 4.34659\text{ kg} \approx 4.3\text{ kg} $$

Answer:

Directions: Convert the following weight as indicated. Round weight to the nearest tenth.
\(9\text{ lb}, 9\text{ oz} =\) <blank>\(4.3\)</blank> \(\text{kg}\)