Middle School

7. The mass of a grain of sand is approximately [tex]2.8 \times 10^{-11}[/tex] grams.

Select from the drop-down menu to correctly complete the statement:
The mass of a grain of sand is approximately [tex]2.8 \times 10^{-8}[/tex]

Answer Choices:
A. Milligram
B. Gram
C. Kilogram

Explain.

Answer :

The mass of a grain of sand is approximately 2.8×10⁻⁸ milligrams.

The correct answer is A. Milligram.

When we express the mass of a grain of sand as 2.8×10⁻¹¹ grams, we are using scientific notation. In scientific notation, the exponent indicates the power of 10 by which the number is multiplied. In this case, 10⁻¹¹ means we need to move the decimal point 11 places to the left.

To convert the mass to a more practical unit, we need to find a unit that is appropriate for such a small measurement. The milligram (mg) is commonly used for measuring small masses, and it is equal to 0.001 grams.

Therefore, we can rewrite 2.8×10⁻¹¹ grams as 2.8×10⁻¹¹ × 0.001 milligrams, which simplifies to 2.8×10⁻⁸ milligrams.

So, the mass of a grain of sand is approximately 2.8×10⁻⁸ milligrams.

To learn more about multiplication;

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Answer :- A) Milligram is the right answer.


Explanation:-

The mass of a grain of sand is approximately [tex]2..8\times10^{-11}\text{ grams}[/tex]

We know that 1 gram=1,000 milligrams

Therefore,The mass of a grain of sand is approximately [tex]=2.8\times10^{-11}\times1000\text{ milligram}\\=2.8\times10^{-11}\times10^3\text {milligram}\\=2.8\times10^{-11+3}\text{ milligram}....\text{[by using law of exponents]}\\=2.8\times10^{-8}\text{ milligram}[/tex]

Thus, the mass of a grain of sand is approximately [tex]2.8\times10^{-8}\text{ milligram}.[/tex]