A place value tells us the value of a digit in a number.
In 638, the digit 3 represents 3 Tens or 30.
In 390,217, the digit 3 represents 3 Hundred Thousands or 300,000.
The same digit can have different values.
A digit's value depends on its position in a number.
We can show the value of each digit in a number using a place value table.
Each column is worth 10 times more than the column to its right (👉).
This is the place value table for 167,349,258:
Let's learn with an example.
How many hundreds is 8 thousand?
The Hundreds column is to the right of the Thousands column.
This means Thousands are 10 times bigger than Hundreds.
1 thousand = 10 hundreds
So, how many hundreds can we make with 8 thousand?
8 thousand =
8 × 1 thousand =
8 × 10 hundreds =
80 hundreds
We have our answer.
8 thousands = 80 hundreds
Tip: It's a lot like how 8 Tens = 80 Ones, and 8 hundreds = 80 Tens.
Each place value is worth ten times as much.
Great work! 👏
How many thousands is 3 hundred thousand?
The Thousands column is 2 columns to the right of the Hundred Thousands column.
Every time we move a value one column to the right, we multiply it by 10.
Since we moved twice, we multiply by 10 twice.
10 × 10 = 100
This means:
1 hundred thousands = 100 thousands
So back to our question, how many thousands are there in 3 hundred thousand? 🤔
We just multiply:
3 × 1 hundred thousands =
3 × 100 thousands =
300 thousands ✅
Great job learning to convert between place values 🎉.
Now, complete the practice.