Video: Identifying the Smallest 5-Digit Number Using Given Digits

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

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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.

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