One microgram is equal to 1x10^-6 gram. If the mass of a substance is 8x10^9 micrograms, what is its mass in grams?
a) 1.25x10^-15
b) 1.25x10^-3
c) 8x10^3
d) 8x10^15
8x10^9 * 1x10^-6 = 8x10^3
A rectangular section of land made up of weed Farms has a length of 5 * 10 with the power of 4 M and a width of 6 * 10 ^ 3 m what is the area of land in square meters
To find the mass of the substance in grams, we need to convert the given mass in micrograms to grams. We are given that 1 microgram is equal to \(1 \times 10^{-6}\) grams.
To convert 8 x \(10^9\) micrograms to grams, we can multiply it by \(1 \times 10^{-6}\) grams/microgram:
\(8 \times 10^9\) micrograms x \(1 \times 10^{-6}\) grams/microgram
To multiply the numbers, we can add the exponents of 10 and then multiply the coefficients:
\(8 \times 10^9 \times 1 \times 10^{-6} = 8 \times 1 \times 10^3\) grams
Simplifying, we have:
\(8 \times 10^3\) grams
Therefore, the mass of the substance in grams is 8 x \(10^3\).
Therefore, the correct option is c) 8 x \(10^3\).
To convert from micrograms to grams, we divide by the conversion factor of 1x10^-6. Therefore, to find the mass of the substance in grams, we can use the following formula:
Mass in grams = Mass in micrograms / 1x10^-6
Substituting the given value of the mass (8x10^9 micrograms) into the formula:
Mass in grams = 8x10^9 / 1x10^-6
When dividing numbers in scientific notation, we subtract the exponents:
Mass in grams = 8x10^9 * 10^6
To multiply powers of 10, we add the exponents:
Mass in grams = 8x10^15
Therefore, the mass of the substance is 8x10^15 grams.
The answer is (d) 8x10^15.