What is Place Value?

Place value is a way of understanding the value of each digit in a number based on where it is located. Each digit in a number has a different value depending on its position.

How Does Place Value Work?

Let’s take the number 345. Here’s how we break it down:

• The 3 is in the hundreds place, so it represents 300 (3 x 100).
• The 4 is in the tens place, so it represents 40 (4 x 10).
• The 5 is in the ones place, so it represents 5 (5 x 1).

This means that when we add them together, 300 + 40 + 5 = 345!

Why is Place Value Important?

Place value is super important because it helps us understand large numbers easily. For example, in the number 5,678:

• The 5 is in the thousands place (5 x 1000 = 5000).
• The 6 is in the hundreds place (6 x 100 = 600).
• The 7 is in the tens place (7 x 10 = 70).
• The 8 is in the ones place (8 x 1 = 8).

So when we add those up: 5000 + 600 + 70 + 8 = 5,678!

Practice Makes Perfect!

Try this: What is the place value of the digit 9 in the number 29,583? The 9 is in the thousands place, so it stands for 9 x 1000, which is 9,000!

See how easy it is to understand place value? Keep practicing, and you'll become a pro at it!