How many ounces are equal to 45 grams? ( 1 gram =0.035 ounce)
A. 0.045 ounce
B. 1.575 ounces
C. 17.73 ounces
D. 1285.71 ounces
The Correct Answer and Explanation is:
To solve the problem of converting 45 grams to ounces, we use the given conversion factor:
[
1 \text{ gram} = 0.035 \text{ ounces}
]
Step 1: Set up the conversion
To convert grams to ounces, we multiply the number of grams (45 grams) by the conversion factor (0.035 ounces per gram). The formula is:
[
\text{Ounces} = \text{Grams} \times \text{Conversion factor}
]
Substituting the values:
[
\text{Ounces} = 45 \times 0.035
]
Step 2: Perform the multiplication
Now, multiply 45 by 0.035:
[
45 \times 0.035 = 1.575 \text{ ounces}
]
Step 3: Interpret the result
So, 45 grams is equivalent to 1.575 ounces.
Step 4: Match the answer to the choices
Looking at the provided answer choices:
- A. 0.045 ounce
- B. 1.575 ounces
- C. 17.73 ounces
- D. 1285.71 ounces
The correct answer is B. 1.575 ounces.
Explanation
The conversion factor used in this problem (1 gram = 0.035 ounce) is a simple ratio that allows us to switch between grams and ounces. By multiplying the number of grams (45) by the conversion factor (0.035 ounces per gram), we directly find the equivalent weight in ounces.
When dealing with weight or mass conversions between different units, it is important to use the correct conversion factor to ensure accuracy. For example, if we had mistakenly used a different conversion factor or performed incorrect multiplication, the result could have been inaccurate. Here, we followed the correct steps, resulting in 1.575 ounces, which aligns with the second answer choice (B).
This method of using conversion factors is commonly used in a wide variety of fields, including science, cooking, and healthcare, to ensure precise measurements when switching between units.