Convert 5.5 kg to ounces.

Step-by-step solution

1. 1

   Start from the exact definition, not a rounded factor. The avoirdupois pound is defined exactly as $0.45359237$ kg, and one pound is $16$ ounces. So one kilogram contains

   $\frac{16}{0.45359237}=35.27396195\ \text{oz}$

   Knowing where the factor comes from matters: rounding it to $35.27$ early would lose the third decimal of the answer.

2. 2

   Set up the conversion as a multiplication. Kilograms are the larger unit, so the numerical answer must be larger than $5.5$:

   $5.5\ \text{kg}\times 35.27396195\ \frac{\text{oz}}{\text{kg}}$

   The units cancel to leave ounces, which confirms the factor is the right way up.

3. 3

   Carry out the multiplication.

   $5.5\times 35.27396195=194.006790725$

4. 4

   Round sensibly. The input $5.5$ carries two significant figures, but for a unit conversion it is normal to keep two decimals:

   $5.5\ \text{kg}\approx 194.01\ \text{oz}$

5. 5

   Check with a rough independent estimate. A kilogram is roughly $2.2$ lb, so $5.5$ kg is about $12.1$ lb, and $12.1\times 16\approx 194$ oz $\checkmark$. The two routes agree, so the factor was applied in the correct direction.