Question
A strand of pair has an average mass of 2.7×10 exponent -5 ounces a grain of rice has an average mass of 0.002 ounces how much have use a grain of rice in a strand of hair express your answer and significant not
Answers
GPT-4o mini
To find out how many grains of rice are equivalent to the average mass of a strand of hair, we can simply divide the mass of the strand of hair by the mass of a grain of rice.
Given:
- Average mass of a strand of hair = \(2.7 \times 10^{-5}\) ounces
- Average mass of a grain of rice = \(0.002\) ounces
Now, we can calculate the number of grains of rice in a strand of hair:
\[
\text{Number of grains of rice} = \frac{\text{Mass of hair}}{\text{Mass of grain of rice}} = \frac{2.7 \times 10^{-5}}{0.002}
\]
Calculating that:
\[
= \frac{2.7 \times 10^{-5}}{2 \times 10^{-3}}
= 2.7 \times 10^{-5} \div 2 \times 10^{-3}
= (2.7 \div 2) \times (10^{-5} \div 10^{-3})
= 1.35 \times 10^{-2}
\]
To express this result in significant figures, we observe that \(1.35\) has three significant figures. Therefore, the final answer, expressed in scientific notation, is:
\[
1.35 \times 10^{-2}
\]
This means that there are approximately \(0.0135\) grains of rice in a strand of hair. If you need the answer in terms of grains, this value indicates fractional grains, so you could note it's less than one grain of rice per strand.
Given:
- Average mass of a strand of hair = \(2.7 \times 10^{-5}\) ounces
- Average mass of a grain of rice = \(0.002\) ounces
Now, we can calculate the number of grains of rice in a strand of hair:
\[
\text{Number of grains of rice} = \frac{\text{Mass of hair}}{\text{Mass of grain of rice}} = \frac{2.7 \times 10^{-5}}{0.002}
\]
Calculating that:
\[
= \frac{2.7 \times 10^{-5}}{2 \times 10^{-3}}
= 2.7 \times 10^{-5} \div 2 \times 10^{-3}
= (2.7 \div 2) \times (10^{-5} \div 10^{-3})
= 1.35 \times 10^{-2}
\]
To express this result in significant figures, we observe that \(1.35\) has three significant figures. Therefore, the final answer, expressed in scientific notation, is:
\[
1.35 \times 10^{-2}
\]
This means that there are approximately \(0.0135\) grains of rice in a strand of hair. If you need the answer in terms of grains, this value indicates fractional grains, so you could note it's less than one grain of rice per strand.