00:01
This problem says based on the 2010 census, the population in georgia was 9 .6 times 10 to the six people.
00:07
And we want to know which of these states that we have listed with their populations, had a larger population.
00:12
And the important thing to realize when you're dealing with scientific notation, that even though the whole number is important, one of the most important numbers is the exponent of your 10, because that tells you basically how many zeros should be added to the number that you see.
00:27
And that kind of lets us know that we can't just pay attention to the 9 .6, 7 .1, 1 .9, 5 .6, and 1 .5 .5 to compare those because they are different variations of big depending on the exponent.
00:41
So just as a couple examples, if we had 3 times 10 to the 4th and 9 times 10 to the 3, it doesn't matter that 9 is bigger than 3 because 3 times 10 to the 4th would be 3 with 4.
00:57
Which is 30 ,000.
00:59
9 times 10 to the third would be 9 with 3 zeros, which is just 9 ,000.
01:03
So even though the 9 was bigger, the exponent of 3 was bigger, which automatically makes that 3 a bigger value because it has more zeros...