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.
