Round the following numbers to three significant figures

Question

Accepted Answer

Welcome back everyone. We need to round the given number 9,147, square kilometers to three significant figures. Recall that in order to do this, we're going to have to start at the end of our number and move our decimal point all the way up until we reach the first three most significant numbers. So we would move our decimal point to this location and we can say that our first Three most significant figures are going to be 9, 1 and four. Now we want to make note that four is followed by the number seven And so we would say that we can round four up to A value of five and so to write out our number in three significant figures, we would then have our first three most significant figures being nine 0.15 since we moved the decimal place there and note that we move the decimal place a total of 123456 places to separate our first three significant numbers that are left most in our integer And so we would multiply this, these three integers by 10 to the positive sixth power since we moved our decimal place to the left. So again note that our decimal place moved six left units and therefore we have a positive power of 10. Our last step is to not forget our units given in the prompt as square kilometers. And so for our final answer, what's highlighted in yellow 9.15 times 10 to the sixth power square kilometers is our final answer, corresponding to Choice C in the multiple choice as our integer 9,147,593 square kilometers around it, to three significant figures. So I hope this was helpful and let us know if you have any questions.

Round the following numbers to three significant figures

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