Answer :
To find out how many times greater the mass of the grain of salt is than the mass of the grain of sand, we need to divide the mass of the grain of salt by the mass of the grain of sand. Here's how you can do it step-by-step:
1. Identify the Masses:
- The mass of a grain of sand is [tex]\( 2.6 \times 10^{-3} \)[/tex] grams.
- The mass of a grain of salt is [tex]\( 6.5 \times 10^{-2} \)[/tex] grams.
2. Set Up the Division:
- We need to divide the mass of the grain of salt by the mass of the grain of sand:
[tex]\[
\frac{6.5 \times 10^{-2}}{2.6 \times 10^{-3}}
\][/tex]
3. Calculate the Division:
- First, let's rewrite the division:
[tex]\[
\frac{6.5}{2.6} \times \frac{10^{-2}}{10^{-3}}
\][/tex]
- Simplify the powers of ten:
[tex]\[
10^{-2} \div 10^{-3} = 10^{1}
\][/tex]
- Now compute the division of the coefficients:
[tex]\[
\frac{6.5}{2.6} = 2.5
\][/tex]
- Combine the results:
[tex]\[
2.5 \times 10^{1} = 25
\][/tex]
4. Conclusion:
- The mass of the grain of salt is 25 times greater than the mass of the grain of sand.
So, the correct answer is:
C 25.
1. Identify the Masses:
- The mass of a grain of sand is [tex]\( 2.6 \times 10^{-3} \)[/tex] grams.
- The mass of a grain of salt is [tex]\( 6.5 \times 10^{-2} \)[/tex] grams.
2. Set Up the Division:
- We need to divide the mass of the grain of salt by the mass of the grain of sand:
[tex]\[
\frac{6.5 \times 10^{-2}}{2.6 \times 10^{-3}}
\][/tex]
3. Calculate the Division:
- First, let's rewrite the division:
[tex]\[
\frac{6.5}{2.6} \times \frac{10^{-2}}{10^{-3}}
\][/tex]
- Simplify the powers of ten:
[tex]\[
10^{-2} \div 10^{-3} = 10^{1}
\][/tex]
- Now compute the division of the coefficients:
[tex]\[
\frac{6.5}{2.6} = 2.5
\][/tex]
- Combine the results:
[tex]\[
2.5 \times 10^{1} = 25
\][/tex]
4. Conclusion:
- The mass of the grain of salt is 25 times greater than the mass of the grain of sand.
So, the correct answer is:
C 25.
