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Solution: Round each number to four significant figures. a. 156.182 ...

Question

Round each number to four significant figures.

a. 156.182

b. 156.842

c. 156.849

d. 156.899

Video Transcript

Hey guys, in this question we're asked to figure out each of these numbers to 4 significant figures so let's take a look at the first ones, so we have to go to 4 significant figures so we're looking at these 4 digits here now this 8 we have to determine does it stay 8 or does it get rounded up to 9? How do we determine that? We look at the number to the right of it, there's a 5 here so because it's 5 or higher that means I'm going to around that 8 up to 9 so remember rounding is just something we should all be familiar with basic algebra basic math so when it's less than 4 then....When it's less than 5 we don't round up but if it's 5 or higher we do round up so again we're looking at these 4 digits here the number to the right is a 4, remember it has to be 5 or higher for us to round 8 up to 9 since it's not 5 or higher it's stays 156.8, look at these 4 here again it's just a four so again we can't round up so it's just 156.8, look at these 4 here because we want for 6 figs it's a 9 here which means we're going to have to round that 8 up to 9 so this becomes 156.9. So again, if it's 5 or higher we round up if it's not we keep the number as it is we don't round up.

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