Question

Express the number in scientific notation. 780,000,000

Answer 1

Scientific notation implies that all the zeros are taken away and replaced with a 10 raised to whatever appropriate power would be necessary to make the number in scientific notation equal to the original number.

In the number 780,000,000, we can see that there are 7 zeros, but the number before the zeros has two digits, so we need to tuck the decimal point in there, because the number has to be between 1 and 10 for math reasons.

7.8 ... but what do we raise it to? We know it has to be 10, but to what power? Well, we just count how many places to the left the decimal point has traveled. From the original number, the decimal point shifted 8 places to the left, so that is the number that we will raise the 10 to.

The final number looks like this:

$7.8 * 10^8$

780,000,000 in scientific notation is $7.8 * 10^8$
Hope that helped =)

Answer 2

Scientific notation is
(number that is >1 and <10) times (10^x)
so lets say you had 800
800=8 times 100
100=10^2, so
800=8 times 10^2 so


780,000,000=7.8 times 100,000,000
100,000,000=10^8 so
780,000,000=7.8 times 10^8

answer is 7.8 times 10^8