Question Video: Understanding That the Digit in the Ones Place Has the Smallest Value | Nagwa Question Video: Understanding That the Digit in the Ones Place Has the Smallest Value | Nagwa

# Question Video: Understanding That the Digit in the Ones Place Has the Smallest Value Mathematics • Second Year of Primary School

In which of the following numbers does the digit 9 have the smallest value? [A] 192 [B] 129 [C] 921 [D] 291

02:20

### Video Transcript

In which of the following numbers does the digit nine have the smallest value?

What do you notice about the four numbers that we’re given in this problem? Well, you might notice that they’re all made up of three digits. They’re all three-digit numbers. But if we look more closely, what else can we see? They’re all made up of the same three digits, aren’t they? They all contain a one, a nine, and a two. And you know, we could make some of these numbers by taking digit cards that have a one, a nine, and a two on them and just swapping them around. Here’s our second number, our third number, and our last number.

So we can see that all four possible answers contain a one, a nine, and a two. But it’s the nine that we really want to be thinking about because our question asks us, in which of the numbers does the digit nine have the smallest value? And to be able to answer this question, we need to think about what the value of each place in a three-digit number is worth.

Now, we know that the digits in a three-digit number are worth hundreds, tens, and ones. Here’s a hundred. This is what a ten looks like. And here’s a one. Now, if we look at our four numbers, we can see that the digit nine sometimes appears in the hundreds place, sometimes in the middle of the number, which is the tens place, and sometimes in the ones place. Now, which is the smallest value, hundreds, tens, or ones?

Well, we know it’s the ones, don’t we? This is the digit on the right of the number. And can you see which of our numbers has a nine in the ones place? The number where the digit nine has a smallest value is this number here. It’s 129. We know that the smallest value place in a three-digit number is the ones place. And so we were looking for the number that had nine in the ones place. Instead of being worth 900 or 90, the nine in this number is just worth nine. The digit nine has the smallest value in the number 129.

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