How to Write Numbers in Expanded Form Using Powers of 10

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Writing numbers in expanded form using powers of 10 isn't nearly as complicated as you may initially think. Write numbers in expanded form using powers of 10 with help from a high school math tutor in this free video clip.

Part of the Video Series: Math & Geometry Tips
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Video Transcript

Hi, I'm Charlie Kasov. I'm a math teacher and today we're going to learn how to write numbers in expanded form using powers of 10. So, let's take the number 4927. Now with this number in expanded form normally we would say 4,000 plus 900 plus 20 plus 7 or 4 times 1,000 plus 9 times 100 plus 2 times 10 plus 7 times 1. Now if we want to convert that to powers of 10 basically the units digit, the 1s place is always 10 to the 0, 10 to the 1, 10 to the 3. So we would say 4 times 10 to the third plus 9 times 10 to the second plus 2 times 10 to the first plus 7 times 10 to the 0. And it's important not to be afraid of the 10 to the 0 because when you raise something to the 0 power it's always 1. So, 7 times 10 to the 0 is just 7 times 1 or 7. So I'm Charlie Kasov, and you just learned how to write numbers in expanded form using powers of 10. Thanks a lot.

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