Final answer:
The calculated number of sand grains in 6300 kg of sand, when using the estimation of one grain of sand having a mass of approximately 10^-5 kg, is 6.3 x 10^8. None of the provided options matches this value.
Step-by-step explanation:
To determine how many grains of sand are there in 6300 kg of sand when expressed in standard form, we need to estimate the average mass of a single grain of sand. Although this can vary, a common estimation is that one grain of sand has a mass of approximately 10^-5 kg. Let's calculate the total number of grains of sand using this estimation:
- Total mass of sand = 6300 kg
- Average mass of one grain of sand = 10^-5 kg
We divide the total mass by the mass of one grain:
Number of grains = Total mass / Mass per grain = 6300 kg / (10^-5 kg/grain) = 6300 / 10^-5 = 6300 x 10^5 grains
Expressing 6300 x 10^5 in standard form, we have:
6.3 x 10^(3+5) = 6.3 x 10^8
However, none of the given options A) 6.3 x 10^5, B) 6.3 x 10^4, C) 6.3 x 10^6, D) 6.3 x 10^7 matches the calculated value, thus suggesting a possible typo or misunderstanding in the question itself. The closest correct scientific notation for the number of grains of sand is 6.3 x 10^8.