00:02
Hi, in this question, we are rounding some measurements to the correct number of significant figures, or in this case, the correct number is the number that is given to us in parentheses.
00:14
So in letter a, we have 7 .001 kilograms, and we want to round that to just four significant figures.
00:24
So that would be the first four digits.
00:28
So i'm rounding it off to there.
00:30
The next digit is a one, so that means we, round down or in other words we keep the zero and so the answer is 7 .0 0000 kilograms and according to the rules of significant figures these zeros written after the decimal are significant so this has four significant figures let's go to letter b letter b we have 1 .605 kilometers and we want to round this to to three significant figures.
01:08
So the 1, the 10th, and the 100th place.
01:13
So we're rounding to there.
01:15
The digit after the 0 is a 5.
01:18
So we need to round the 0 up to a 1.
01:24
5 or above rounds up.
01:27
So 1 .61 kilometers would be this value rounded to three significant figures.
01:34
Let's look at letter c.
01:35
Let's see, we have 13 .214.
01:41
5 1 grams per centimeter cubed.
01:45
This has the units of a density value.
01:48
And we want to round this to just three significant figures.
01:52
So that would mean the 1, the 3, and the 2.
01:59
That would be 3 significant figures.
02:02
The next digit after the 2 is not a 5 or above, so we do not round up...