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The average mass of a grain of sand from a certain beach is 9times 10^-8 kilograms. What is this value in grams? Give your answer in standard form.

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The average mass of a grain of sand from a certain beach is
9times 10^-8 kilograms.
What is this value in grams? Give your answer in standard form.

The average mass of a grain of sand from a certain beach is 9times 10^-8 kilograms. What is this value in grams? Give your answer in standard form.

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CallumAdvanced · Tutor for 1 years

Answer

This mass in grams is \(9 \times 10^{-5}\)g. The average mass of a grain of sand from the beach in grams is \(9 \times 10^{-5}\)g.

Explain

<br />1. The question asks to convert \(9 \times 10^{-8} \) kilograms into grams given in standard form.<br />2. We must recognize that 1 kilogram is equal to \( 10^3 \) grams.<br />3. To convert this mass to grams, we need to multiply our given value in kilogram \( (9 \times 10^{-8} \) kg) by our conversion factor \( 10^3 \) (g/kg).<br />4. When multiplying these together, the indices add together: \(-8 + 3 = -5\).<br />Therefore, our standard form in terms of grams would be \(9 \times 10^{-5}\) grams.
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