Definition:

The value of each digit in a number is known as the place value. The 5 in 5,006 signifies 5 thousands, or 5,000, whereas the 5 in 350 represents 5 tens, or 50. Children should be taught that, even though a digit may be the same, its value varies according to where it appears in the number.

Recognize place values of ones, tens, and hundreds:

Example 1:

In the number 462:

• The digit 4 is in the hundreds place, so it represents 400.
• The digit 6 is in the tens place, so it represents 60.
• The digit 2 is in the ones place, so it represents 2.

Identify and label place values in three-digit numbers:

Example 2:

In the number 385:

• The 3 is in the hundreds place, so it represents 300.
• The 8 is in the tens place, so it represents 80.
• The 5 is in the one's place, so it represents 5.

Students will learn to say that 385 is made up of 300 + 80 + 5.

Compose and decompose numbers using place value:

Example 3:

Decompose the number 275:

• 275 is made up of:
• 200 (2 hundreds),
• 70 (7 tens),
• 5 (5 ones).

Compare numbers using place value:

Example 4:

Compare 478 and 465:

• Look at the hundreds place: Both numbers have a 4 in the hundreds place (400), so they are equal here.
• Look at the tens place: 478 has a 7 (70), and 465 has a 6 (60). Since 70 is greater than 60, 478 is greater than 465.

Why it matters:

Understanding the place value of 3-digit numbers helps students grasp the concept of thousands, hundreds, tens, and ones. This knowledge is crucial for performing accurate calculations, comparing large numbers, and solving real-world problems like managing money or reading measurements. It builds a strong foundation for advanced math concepts.

By practicing place value, you'll be able to solve real-world problems quickly!

Let’s practice and evaluate your work together by place value.