Building a three-digit number:

Let’s create a three-digit number using the digits 5, 4, and 3. The value of each digit will change depending on the place (hundreds, tens, or ones) it is assigned to. Here’s how place value works:

1. Hundreds place: The digit here represents hundreds.
2. Tens place: The digit here represents tens.
3. One's place: The digit here represents ones.

Example 1:

Building a number using 5, 4 and 3

• Place the 5 in the hundreds place.
• Place the 4 in the tens place.
• Place the 3 in one place.

Solution: 543 = 500 + 40 + 3.

Example 2:

Building a number using 4, 3, and 5.

• Place the 4 in the hundreds place.
• Place the 3 in the tens place.
• Place the 5 in the one's place.

Solution: 435 = 400 + 30 + 5.

Example 3:

Building a number using 3,5 and 4.

• Place the 3 in the hundreds place.
• Place the 5 in the tens place.
• Place the 4 in one place.

Solution: 354 = 300 + 50 + 4.

Understanding the Pattern:

These examples show how changing the position of the digits 5, 4, and 3 creates different three-digit numbers. This helps students understand that the place value of a digit determines its value in the number:

• Hundreds place: Multiplies the digit by 100.
• Tens place: Multiplies the digit by 10.
• Ones place: Keeps the digit as it is.

Why it matters:

Understanding place value helps students recognize the significance of hundreds, tens, and ones in a number. It forms the foundation for performing operations like addition, subtraction, and comparing numbers. Mastering this concept enhances number sense and prepares students for more advanced math skills.

By practicing place value with building numbers, you can solve real-world problems quickly!

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