# Question Video: Finding the Smallest 5-Digit Number Using Given Digits Mathematics

What is the smallest number which can be formed by the digits 5, 8, 1, 8, 2?

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### Video Transcript

What is the smallest number which can be formed by the digits five, eight, one, eight and two?

We’ve been given five digits. And we have to make the smallest number we can using these five digits. So, our number has five digits. It has a ten thousand digit, a thousand digit, a hundreds digit, a tens digit, and a ones digit. We have to choose where to place each of these five digits to make the smallest possible number.

The smallest of our five digits is one. We have a two digit, a five digit, and two eights. We’ve ordered the digits from smallest to largest. We can put the smallest digit in the ten thousands column. Then we can add each of the remaining digits from smallest to largest.

So, the smallest number which can be formed by the digits five, eight, one, eight, and two is 12588. We found our answer by ordering the digits from smallest to largest. We wrote the smallest digit, number one, in the ten thousands column. And then, we wrote the rest of the digits from smallest to largest. The smallest number we can make is 12588.

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