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Numerade Educator

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Problem 52 Easy Difficulty

Write each number in scientific notation.
The oxygen-hydrogen bond length in a water molecule is $0.000000001 \mathrm{~mm} .$

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Video Transcript

All right. Hi everyone. So today we're gonna be working on scientific notation. Under the rules of exponents. in our example, we have the length of a hydrogen oxygen burn inside of a water molecule. And the problem, it says that this is 0.000000001 millimeters. We're going to be writing this into scientific notation. What I like to do is first circle boxing or underlying all of my numbers that are not zero. In this case we have 1. So what I'm going to do is write 1.0, Which is the equivalent to 1 times 10 To a certain degree. However, we don't know what this degree is. So we're going to count, how many times will we have to move this to get to 1.0. But before we start we can simply just look at the number and already see that this is less than one. Which means our exponent will be negative. Yeah. Oh, So now to get this to 1.0, we're going to be moving this to the right. This move will be going to the right And we're going to count how many times we move this decimal to the right to get our desire number. So let's count 123456789. To get 1.0 will be moving this nine times to the right. Would you give us to the negative night power? Which means our answer will be 1.0 Times 10 to the -9 mm. Do not forget the units. Thank you guys for watching.