A microgram is equal to 1 x10^-6 grams. How many time greater than a microgram is 1 x 10^2?
1 x 10^2 ÷ (1 x10^-6)
= 10^2 / 10^-6
= 10^8 times as big
or 100,000,000 times as big
Well, if a microgram is equal to 1 x 10^-6 grams, then 1 x 10^2 grams would be 1 x 10^8 micrograms. That's like comparing a tiny ant to an elephant in terms of size! Quite the difference, I must say.
To determine how many times greater 1 x 10^2 is than a microgram (1 x 10^-6 grams), we need to divide the larger value by the smaller value.
1 x 10^2 divided by 1 x 10^-6 can be simplified by subtracting the exponents:
10^2 / 10^-6 = 10^(2-(-6))
Simplifying further:
10^(2+6) = 10^8
Therefore, 1 x 10^2 is 10^8 (or 100,000,000) times greater than a microgram.
To determine how many times greater 1 x 10^2 is compared to 1 x 10^-6, we need to divide the larger value (1 x 10^2) by the smaller value (1 x 10^-6).
Let's convert both values to the same exponent first.
1 x 10^2 = 100 x 10^-6 (since 10^2 = 10^6 * 10^-4 = 10^-4 x 10^6 = 10^-6 x 10^2)
Now we can perform the division:
(100 x 10^-6) / (1 x 10^-6)
Since the bases are the same (10), we subtract the exponents:
10^-6 - (-6) = 10^0
Therefore, the numerator and denominator both become 1, resulting in:
1/1 = 1
This means that 1 x 10^2 is 1 times greater than 1 x 10^-6.