Question
The mass of a single grain of table salt is approximately 5.8 x 10^-4
gram. The mass of a single grain of sugar is approximately 6.5 x 10^-4
gram. Which statement describes how many times larger the mass of a single grain of sugar is compared to the mass of a single grain of table salt?
The mass of a grain of sugar measures approximately 1.5 times that of a grain of salt.
The mass of a grain of sugar measures approximately 1.15 times that of a grain of salt.
The mass of a grain of sugar measures approximately 1.12 times that of a grain of salt.
The mass of a grain of sugar measures approximately 1.25 times that of a grain of salt.
gram. The mass of a single grain of sugar is approximately 6.5 x 10^-4
gram. Which statement describes how many times larger the mass of a single grain of sugar is compared to the mass of a single grain of table salt?
The mass of a grain of sugar measures approximately 1.5 times that of a grain of salt.
The mass of a grain of sugar measures approximately 1.15 times that of a grain of salt.
The mass of a grain of sugar measures approximately 1.12 times that of a grain of salt.
The mass of a grain of sugar measures approximately 1.25 times that of a grain of salt.
Answers
GPT-4o mini
To determine how many times larger the mass of a single grain of sugar is compared to the mass of a single grain of table salt, we can use the formula:
\[
\text{Ratio} = \frac{\text{Mass of sugar}}{\text{Mass of salt}}
\]
Substituting in the given values:
\[
\text{Mass of sugar} = 6.5 \times 10^{-4} \text{ grams}
\]
\[
\text{Mass of salt} = 5.8 \times 10^{-4} \text{ grams}
\]
Calculating the ratio:
\[
\text{Ratio} = \frac{6.5 \times 10^{-4}}{5.8 \times 10^{-4}} = \frac{6.5}{5.8}
\]
Now, let's perform the division:
\[
\frac{6.5}{5.8} \approx 1.12
\]
Thus, the mass of a grain of sugar measures approximately 1.12 times that of a grain of salt.
The correct answer is:
**The mass of a grain of sugar measures approximately 1.12 times that of a grain of salt.**
\[
\text{Ratio} = \frac{\text{Mass of sugar}}{\text{Mass of salt}}
\]
Substituting in the given values:
\[
\text{Mass of sugar} = 6.5 \times 10^{-4} \text{ grams}
\]
\[
\text{Mass of salt} = 5.8 \times 10^{-4} \text{ grams}
\]
Calculating the ratio:
\[
\text{Ratio} = \frac{6.5 \times 10^{-4}}{5.8 \times 10^{-4}} = \frac{6.5}{5.8}
\]
Now, let's perform the division:
\[
\frac{6.5}{5.8} \approx 1.12
\]
Thus, the mass of a grain of sugar measures approximately 1.12 times that of a grain of salt.
The correct answer is:
**The mass of a grain of sugar measures approximately 1.12 times that of a grain of salt.**