Round each of the following numbers to three significant
figures...

Question

Round each of the following numbers to three significant 
figures and express the result in standard exponential notation: 
(e) -0.00000324683.

Accepted Answer

Hello everyone today. We are being asked to write the given and standard exponential notation rounded off to two significant figures. And then we have our value here. So the very first thing we want to do is we want to write out this value. You have six zeros followed by 92347. The first thing we want to do is we want to write a decimal point after the first non zero number. In this case that is nine. This is step one. Step two is we want to eliminate every non-0 number before that and so we'll have negative 9.2347. Since the question wants us to round 22 significant figures, we are going to round -9.23472, 0.2. And since this is an exponential notation we're going to refer back to our original number here. We're gonna say times 10 and we're gonna count how many decimal points that we have to go from our first decimal point to the new one that we drew. And that's going to be seven and it's going to be negative seven in this case because we our negative seven positions below zero. And so this would be our final answer. Nine point negative 9.2 times 10 to the negative seven. I hope this helped. And until next time

Round each of the following numbers to three significant figures and express the result in standard exponential notation: (e) -0.00000324683.

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