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The average density of matter in metagalactic space is 10^−29 grams per cubic cm. Express this number as a decimal.

User Pal Szasz
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1 Answer

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Answer:

0.000 000 000 000 000 000 000 000 000 01 g/cm³

or

10 fg/km³

Explanation:

10^-29 is 1 in the 29th decimal place to the right of the decimal point.

An appropriate set of SI prefixes can be chosen so that the number isn't so difficult to write accurately. Using femtograms per cubic kilometer, we find that the equivalent number is ...

... (10^-29 g/cm³)×(1 fg/(10^-15 g))×(1 cm/(10^-5 km))³ = 10^(-29-(-15)-3·(-5)) fg/km³

... = 10 fg/km³

User Matt Swanson
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