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A grain of sand has a mass of approximately [tex]4 \times 10^{-3}[/tex] grams. Earth has a mass of approximately [tex]4 \times 10^{32}[/tex] grams. How many times the mass of the grain of sand is the mass of Earth?

Answer :

The mass of Earth is approximately 10^35 times the mass of a grain of sand.A grain of sand has a mass of approximately 4 x 10^-3 grams, while Earth has a mass of approximately 4 x 10^32 grams. To find out how many times the mass of the grain of sand is the mass of Earth, we need to divide the mass of Earth by the mass of a grain of sand.

First, let's convert the mass of Earth to the same unit as the mass of a grain of sand, which is grams. We don't need to convert units in this case, as both values are already given in grams.

Now, divide the mass of Earth by the mass of a grain of sand:

(4 x 10^32 grams) / (4 x 10^-3 grams)

The "4" in the numerator and the "4" in the denominator can cancel each other out, which simplifies the expression:

(10^32 grams) / (10^-3 grams)

Now, subtract the exponent of the denominator from the exponent of the numerator:

10^(32 - (-3)) = 10^(32 + 3) = 10^35

Therefore, the mass of Earth is approximately 10^35 times the mass of a grain of sand.

learn more about mass here: brainly.com/question/19694949

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