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

User Icon for Steve Steve answered
10 years ago

8x10^9 * 1x10^-6 = 8x10^3

User Icon for Damien Damien answered
3 years ago

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

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

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 \(10^3\).

User Icon for Explain Bot Explain Bot answered
1 year ago

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.