To convert the amount of cereal from ounces to grams, follow these steps:
1. Identify the given quantity in ounces:
The box of cereal contains 12.3 ounces of cereal.
2. Identify the conversion factor:
We are given that 1 ounce is equivalent to 28.35 grams.
3. Set up the conversion equation:
To convert from ounces to grams, you multiply the number of ounces by the conversion factor. This can be written as:
[tex]\[
\text{grams} = \text{ounces} \times \text{conversion factor}
\][/tex]
4. Perform the multiplication:
[tex]\[
\text{grams} = 12.3 \, \text{ounces} \times 28.35 \, \text{grams/ounce}
\][/tex]
5. Calculate the result:
Multiplying the given numbers:
[tex]\[
12.3 \times 28.35 = 348.70500000000004
\][/tex]
6. Consider significant digits:
The initial measure 12.3 ounces has 3 significant figures (since it’s given to the nearest tenth). The conversion factor 28.35 also has 4 significant digits. The result should be rounded to match the number with the fewest significant figures, which is 3 in this case.
7. Round the result to the appropriate number of significant digits:
[tex]\[
\text{grams} \approx 349 \, \text{grams}
\][/tex]
Answer: The box of cereal contains approximately 349 grams of cereal.
