# Question Video: Writing Six-Digit Numbers in Expanded Form Mathematics • 4th Grade

Write five hundred sixty-nine thousand eight hundred thirty-two in expanded form.

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### Video Transcript

Write five hundred sixty-nine thousand eight hundred thirty-two in expanded form.

In this question, we’ve been given a number in words, but we’re asked to write it a different way in expanded form. Now, when we write a number in expanded form, we split it up according to the value of each of its digits. And we write the number as an addition. So, if we want to think about what each of the digits are worth in our number, let’s write it in digits. And let’s use a place value grid to help us.

Now, the first part of our number says five hundred, but we know that this isn’t just five hundred. This is part of a number of thousands. It’s 500,000. So, we’re going to need to write the digit five in the hundred thousands place. And the whole of our thousands are 569,000. The rest of the number is 832. So, that’s the number 569,832 written in digits. But now we need to expand it out, split it up, and write it as an addition.

The five in our number has a value of 500,000. The six in the 10 thousands place is worth 60,000. Then, we’ve got a nine in the thousands place, which, of course, is worth 9,000, an eight in the hundreds place, which is worth 800, a three in the tens place, and this three is worth 30, and then two ones are worth two. And if we show these six parts as an addition, this is the number in expanded form. We can write the number 569,832 in expanded form as 500,000 plus 60,000 plus 9,000 plus 800 plus 30 plus two.