The same digit can mean three, thirty, or three hundred. Here is the whole idea behind place value, built from bundles of ten you can see.
Look at the number 333. It is the same digit written three times, but each 3 means something different. The first is three hundred, the second is thirty, the last is just three. That is place value in one picture: a digit is worth different amounts depending on where it sits. Grown-ups do this without thinking. Kids have to be shown it, and once they see it, a lot of math suddenly makes sense.
The idea can feel abstract when it is just digits on a page. So let us build it from something you can actually hold and count.
Imagine a pile of 24 buttons. Counting them one at a time is slow and easy to mess up. So we do what people have always done: we group them into tens. Now we have 2 groups of ten and 4 loose buttons. That is exactly what the number 24 says. The 2 means two tens, and the 4 means four ones.
A digit tells you two things at once: how many, and how many of what.
Why ten?: We group by ten because we have ten fingers, and long ago people counted on them. There is nothing magic about ten itself. What matters is that we always group by the same amount, so the columns are predictable: ones, then tens, then tens of tens, which are hundreds.
Here is the engine of the whole system. As you move left, each place is worth ten times as much as the place to its right. Ones, then tens (ten ones), then hundreds (ten tens), then thousands (ten hundreds). It keeps going forever, always multiplying by ten.
Here is a tool that shows any number as blocks: little cubes for ones, rods for tens, and flat squares for hundreds. Type a number and watch it split apart. Change a single digit and watch just that column change. Let your child guess what will happen before each change, then check.
Try this with the tool: Type 5, then 50, then 500. Watch the same digit 5 jump from five little cubes to five rods to five flat hundreds. Seeing the 5 mean three totally different amounts is the fastest way for the idea to land.
Look at 407. There are no tens, but we cannot just write 47, because that is a different number. The 0 holds the tens place open so the 4 stays in the hundreds column. Zero is not nothing here. It is a placeholder, and it is one of the most useful ideas in all of math.
Place value is quiet, but it is behind almost everything that comes next. When kids carry in addition, they are moving ten ones up into the tens place. When they regroup in subtraction, they are opening one ten into ten ones. When they read a big number without panic, it is because they can see the places. Getting this idea solid early makes years of later math easier.
You can point out place value all day without a worksheet. Prices, house numbers, ages, page numbers. "That book is on page 208, so that is two hundreds, no tens, and eight ones." Naming the places out loud is what makes them feel normal.
Place value means the position of a digit in a number decides how much it is worth. In 333, the first 3 is worth 300, the second is worth 30, and the last is worth 3, even though it is the same digit each time.
Starting from the right: ones, tens, hundreds, thousands, and so on. Each place is ten times bigger than the place to its right.
Zero is a placeholder. In a number like 407, the zero holds the tens place open so the 4 stays in the hundreds column. Without it the number would read 47, which is completely different.
Children usually start with tens and ones in first grade, add hundreds in second grade, and work with thousands and beyond in third grade and up. Kids reach these stages at different times, and that is normal.