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We are asked to divide 99.061 or

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ninety nine and sixty one thousandths by 100.

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And there is a few ways to do it

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but all I'm going to do in this video is focus on

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kind of a faster way to think about it.

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And hopefully it will make sense to you.

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And that is also the focus of it. That it makes sense to you.

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Let us just think about it a little bit.

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So 99.061. So if we were to divide this by 10,

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just to make the point clear,

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if we were to divide this by 10, what would we get?

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Well, we would essentially move the decimal place

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one spot to the left. And it should make sense

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because we have a little over 99.

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If you took 99 divided by 10, you should have a little over 9.

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So essentially you would move the decimal place

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one to the left when you divide by 10.

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So this would be equal to 9.9061.

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If you were to divide it by 100,

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which is actually the focus of this problem,

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so if we divide 99.061 divided by 100.

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If we move the decimal place once to the left,

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we're dividing by 10.

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To divide it by 100, we have to divide it by 10 again.

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So we move it over twice. So one, two times.

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And so now the decimal place is out in front of that first leading 9.

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Which also should make sense. 99 is almost 100.

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Or a little bit less than 100. So if you divide it by 100

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we should be a little bit less than 1.

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And so if you move the decimal place

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two places over to the left,

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because we're really dividing by 10 twice

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if you want to think of it that way,

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we will get the decimal in front of the 99.

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.99061, we should put a 0 out here,

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just sometimes it clarifies things.

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So then we get this right over here.

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Now one way to think about it,

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although I do want you to always imagine that

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when you move the decimal place over to the left,

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you really are dividing by 10 when you move it to the left.

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When you move it to the right, you are multiplying by 10.

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Sometimes people say, hey look,

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you could just count the number of zeros.

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And if you are dividing, so over here you are dividing by 100,

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100 has two zeros, so when we're dividing by it,

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so we can move our decimal two spaces to the left.

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That's alright to do that, if you know

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especially if it's kind of a fast way to do it.

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If this had 20 zeros, you would have needed to say,

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ok, let us move the decimal 20 spaces to the left.

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But I really want you to think about why that's working.

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Why that makes sense?

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Why it's giving you a number that seems to be

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in the right kind of size number.

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That this is why it makes sense that

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if you take something that's almost 100

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and divide it by 100, you'll get something that's almost 1.

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And that part, frankly, is just a really good reality check

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to make sure you're going in the right direction with the decimal.

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Because if you were to try this five or ten years from now,

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maybe your memory of the rule

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or whatever you want to call it for doing it,

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you're like, hey, wait. Do I move the decimal

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to the left or the right?

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It's really good to do that reality check

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to say, ok, look. If I'm dividing by 100,

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I should be getting a smaller value.

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And that moving the decimal to the left

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gives me that smaller value.

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If I was multiplying by 100, I should get a larger value.

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And moving the decimal to the right

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would give you that larger value.