Video: Using Place Value to Write Numbers in Expanded Form

Which of the following is equivalent to 94315? [A] 90000 + 4000 + 300 + 10 + 5 [B] 90000 + 4000 + 100 + 30 + 5 [C] 90000 + 3000 + 400 + 10 + 5 [D] 50000 + 1000 + 300 + 40 + 9.

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Video Transcript

Which of the following is equivalent to 94315? Is it 90000 add 4000 add 300 add 10 add five? Is it 90000 add 4000 add 100 add 30 add five? Is it 90000 add 3000 add 400 add 10 add five? Or 50000 add 1000 add 300 add 40 add nine?

To help us work out which is equivalent to our number, we can look at each of the digits and how much it’s worth. So our number has five ones. So if you look at that column, we can see that the first three choices also have five ones.

Now the bottom option has nine ones, which is incorrect. So we can eliminate this option. If we look at the 10s digit, which is one, we know that our number should have 10. So our first option has 10. Our second option has 30. And our third option has 10.

So let’s eliminate the incorrect response. Next we move along to the 100s digit, which is three worth 300. Our first choice does have 300. But the other remaining choice has 400. So we need to get rid of that.

Let’s just check the 1000s digit, which is four. So our number should have 4000. And that’s correct! Finally, we can check the 10000s digit, which is nine. So we should have 90000. And we do, so 90000 add 4000 add 300 add 10 add five is equivalent to 94315.

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