Report 0.02315621 to 3 sig figs.

Question

Accepted Answer

Hey there. Welcome back. Alright, so inspectors problem we're trying to express each of these numbers here with three significant figures. Okay, so let's take a look. So the first one um this one has a decimal place. Right so we're going to start counting from the left to the right first non zero number is three. So we have 12345. So right now has five significant figures if we want only three we just want these right here. So the first three significant figures is 38 and four. Right now this four here is right next to a seven which means that we actually need to round up that 4-5. So it's going to be three eight and five But of course we need to put this number in scientific notation right in order to have the same value. So here we're actually going to be making this number larger. Right so we're going to say this is 3.85 which is larger than what it was before which means that our Times 10, the coefficient here is actually going to be smaller so it's going to be in the negatives. So how many decimal places did we move from here? So we moved one, 23 and four. We moved four decimal places. So it's going to be to the negative four. Okay, so that is going to be this number with three significant figures For the for B again decimal place will start counting from the left to the right. So we have 2.99. So these three right here are the first significant numbers that we want. But because this nine here is right next to an eight, we actually need to round this nine up. So that will give us the 10 Which will around this 9-10 which will around list 2-3. So in fact this number is going to be 3.00. Okay, so it's not just three. If we put three then it doesn't really tell us how many significant figures there are. But if we put a decimal place and then two zeros that will give us three significant figures because we will be counting from the left to the right and trailing zeros are significant. Okay, See so here again we're looking at three significant figures. So we have 12 and three. So those are the significant figures. If we take a look at the last 18 it is next to a two which means we don't need to round out, we can just leave it as it is. So it's going to be 1.78 And here we don't move the decimal place anywhere. So it's still going to be times 10 to the fifth power. Okay, we just got rid of some of these insignificant numbers here. Now for the last one. This one's a little bit tricky. So We want three. So we want 12 and three. So these are the significant numbers. Right? If we take a look at two, it's right next to an eight. So this would be rounded up to a three. So this would be 89,300. Right? But that is incorrect. That would give us an infinite number of significant fingers if we have a number ending with zeros with no decimal places. So we would Actually needs to um put this in scientific notation. If we want only three, we just want 89 and three as the number. So we're going to do 8. Times 10. And here in order to make this into an 8.93, we moved 12344 decimal places. And this is actually going to be positive four. Right? Because we we made this number into smaller from the larger, so so that means the decimal place here, the coefficient will be positive. Okay, so now we have 12 and three, that's three significant figures. So there we go. Alright folks, thank you so much for watching. We'll see you in the next video

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Report 0.02315621 to 3 sig figs.

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