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Answer :
To find the total mass of two grains of sand and five grains of salt, we can follow a series of simple calculations. Here’s a step-by-step explanation:
1. Calculate the total mass of two grains of sand:
- A single grain of sand has a mass of [tex]\(6.66 \times 10\)[/tex] grams.
- Therefore, the mass of two grains of sand is:
[tex]\[
2 \times 6.66 \times 10 = 133.2 \text{ grams}
\][/tex]
2. Calculate the total mass of five grains of salt:
- A single grain of salt has a mass of [tex]\(5.85 \times 10\)[/tex] grams.
- Therefore, the mass of five grains of salt is:
[tex]\[
5 \times 5.85 \times 10 = 292.5 \text{ grams}
\][/tex]
3. Calculate the total combined mass:
- Add the mass of the two grains of sand to the mass of the five grains of salt:
[tex]\[
133.2 + 292.5 = 425.7 \text{ grams}
\][/tex]
4. Express the total mass in scientific notation:
- The total mass of 425.7 grams can be written in scientific notation. Rounding the coefficient to the nearest hundredth, we get:
[tex]\[
4.26 \times 10^2 \text{ grams}
\][/tex]
Therefore, the total mass of two grains of sand and five grains of salt is [tex]\(4.26 \times 10^2\)[/tex] grams.
1. Calculate the total mass of two grains of sand:
- A single grain of sand has a mass of [tex]\(6.66 \times 10\)[/tex] grams.
- Therefore, the mass of two grains of sand is:
[tex]\[
2 \times 6.66 \times 10 = 133.2 \text{ grams}
\][/tex]
2. Calculate the total mass of five grains of salt:
- A single grain of salt has a mass of [tex]\(5.85 \times 10\)[/tex] grams.
- Therefore, the mass of five grains of salt is:
[tex]\[
5 \times 5.85 \times 10 = 292.5 \text{ grams}
\][/tex]
3. Calculate the total combined mass:
- Add the mass of the two grains of sand to the mass of the five grains of salt:
[tex]\[
133.2 + 292.5 = 425.7 \text{ grams}
\][/tex]
4. Express the total mass in scientific notation:
- The total mass of 425.7 grams can be written in scientific notation. Rounding the coefficient to the nearest hundredth, we get:
[tex]\[
4.26 \times 10^2 \text{ grams}
\][/tex]
Therefore, the total mass of two grains of sand and five grains of salt is [tex]\(4.26 \times 10^2\)[/tex] grams.
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