### Video Transcript

What is the smallest number which
can be formed by rearranging the digits of 95185?

95185 is a five-digit number. It has five ones, eight tens, one
hundred, five thousands and nine ten thousands. We have to rearrange the digits or
move the digits around to make the smallest number we can, using the same
digits.

At the moment, the number begins
with the largest of the digits, which is nine. To make the smallest number, the
number has to begin with the smallest digit. Which of our five digits is the
smallest? Nine, five, one, eight, or
five? It’s number one, which means we
need to write number one as the first digit. So, let’s replace our nine with a
one. And we can cross out the one to
show that we’ve used it.

Now, let’s look at the second
digit. Which of these numbers is the
smallest? Nine, five, eight, or another
five? Five is the smallest of these
numbers. The second digit in our number is
already a five, so we don’t need to change it. Now we have three digits left. A nine, an eight, and a five. Which is the smallest? It’s the five. So, we can put a five as the third
digit and cross it off to show we’ve used it.

Now we just have two digits left, a
nine and an eight. Eight is smaller than nine. We can keep the eight that’s
already there and put the nine at the end. The smallest number, which can be
formed by rearranging the digits of the number 95185, is 15589.