Answer :
To solve the problem, we need to convert the average mass of a grain of sand from kilograms to grams. Here's how you can do it step by step:
1. Understand the Given Information:
- The average mass of a grain of sand is given as [tex]\(6 \times 10^{-7}\)[/tex] kilograms.
2. Know the Conversion Factor:
- 1 kilogram is equal to 1000 grams. This is a standard conversion factor between kilograms and grams.
3. Convert the Mass:
- To change the mass from kilograms to grams, you multiply the mass in kilograms by the conversion factor.
[tex]\[
\text{mass in grams} = 6 \times 10^{-7} \, \text{kg} \times 1000 \, \text{grams/kg}
\][/tex]
4. Calculate the Result:
- When you perform the multiplication, you get:
[tex]\[
6 \times 10^{-7} \times 1000 = 6 \times 10^{-4} \, \text{grams}
\][/tex]
5. Write in Decimal Form:
- The expression [tex]\(6 \times 10^{-4}\)[/tex] in decimal form is 0.0006 grams.
Therefore, the mass of a grain of sand is 0.0006 grams.
1. Understand the Given Information:
- The average mass of a grain of sand is given as [tex]\(6 \times 10^{-7}\)[/tex] kilograms.
2. Know the Conversion Factor:
- 1 kilogram is equal to 1000 grams. This is a standard conversion factor between kilograms and grams.
3. Convert the Mass:
- To change the mass from kilograms to grams, you multiply the mass in kilograms by the conversion factor.
[tex]\[
\text{mass in grams} = 6 \times 10^{-7} \, \text{kg} \times 1000 \, \text{grams/kg}
\][/tex]
4. Calculate the Result:
- When you perform the multiplication, you get:
[tex]\[
6 \times 10^{-7} \times 1000 = 6 \times 10^{-4} \, \text{grams}
\][/tex]
5. Write in Decimal Form:
- The expression [tex]\(6 \times 10^{-4}\)[/tex] in decimal form is 0.0006 grams.
Therefore, the mass of a grain of sand is 0.0006 grams.
