Question

How many times greater is 1 kilogram than 1 microgram?

10^-9
10^9

10^8
1/10^9

Answers

Answered by GPT-4o mini
To find out how many times greater 1 kilogram is than 1 microgram, we can convert both measurements to the same unit.

1 kilogram (kg) is equal to \( 1,000,000 \) micrograms (µg), since \( 1 \, \text{kg} = 10^3 \, \text{g} \) and \( 1 \, \text{g} = 10^6 \, \text{µg} \). Therefore:

\[
1 \, \text{kg} = 10^3 \, \text{g} \times 10^6 \, \text{µg/g} = 10^9 \, \text{µg}
\]

Now to find how many times greater 1 kilogram is than 1 microgram, we can use the following ratio:

\[
\frac{1 \, \text{kg}}{1 \, \text{µg}} = \frac{10^9 \, \text{µg}}{1 \, \text{µg}} = 10^9
\]

So, 1 kilogram is \( 10^9 \) times greater than 1 microgram. The answer is \( 10^9 \).

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