Place values:

Place value refers to the value of each digit in a number based on its position. Each digit has a specific value depending on whether it is in the ones, tens, hundreds, thousands, etc. For example, in the number 462, the digit 4 is in the hundreds place, representing 400, while 6 is in the tens place, representing 60, and 2 is in the ones place, representing 2.

Example 1:

Understanding Place Value

Let's break down the number 567:

• Hundreds place (5): The 5 represents 500 because it is in the hundreds place (5 × 100).
• Tens place (6): The 6 represents 60 because it is in the tens place (6 × 10).
• Ones place (7): The 7 represents 7 because it is in the ones place (7 × 1).
• So, the number 567 is made up of:

Solution: 500 (5 hundreds) + 60 (6 tens) + 7 (7 ones).

Example 2:

Rounding 382 to the Nearest 100

• Identify the hundreds place: In 382, the hundreds digit is 3 (so we are rounding to either 300 or 400).
• Look at the tens place: The tens digit is 8.
  • Since 8 is greater than 5, round up.

Solution: 382 rounded to the nearest 100 is 400.

Example 3:

Rounding 543 to the Nearest 10

• Identify the tens place: In 543, the tens digit is 4 (so we are rounding to either 540 or 550).
• Look at the ones place: The ones digit is 3.
  • Since 3 is less than 5, round down.

Solution: 543 rounded to the nearest 10 is 540.

Example 4:

Understanding Place Value in 806

• Hundreds place (8): The digit 8 is in the hundreds place, representing 800.
• Tens place (0): The digit 0 is in the tens place, so it represents 0.
• Ones place (6): The digit 6 is in the ones place, so it represents 6.
• So, 806 is made up of:

Solution: 800 (8 hundreds) + 0 (0 tens) + 6 (6 ones).

Example 5:

Rounding 276 to the Nearest 100

• Identify the hundreds place: In 276, the hundreds digit is 2 (so we are rounding to either 200 or 300).
• Look at the tens place: The tens digit is 7.
  • Since 7 is greater than 5, round up.

Solution: 276 rounded to the nearest 100 is 300.

Why it matters:

Understanding the place value of 4-digit numbers helps students grasp the concept of thousands, hundreds, tens, and ones. This knowledge is crucial for 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, you'll be able to solve real-world problems quickly!

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