Place value with three digit
Place value with three digit
Use place value understanding to round whole numbers to the nearest 10 or 100.

Learning Outcomes:

    • Students will understand that each digit in a number has a specific value depending on its position. For example, in the number 462, the digit 4 is in the hundreds place (representing 400), the digit 6 is in the tens place (representing 60), and the digit 2 is in the ones place (representing 2).
    • Students will correctly identify and label the hundreds, tens, and ones placed in a three-digit number. For example, in the number 385, students will be able to label 3 as 300 (hundreds), 8 as 80 (tens), and 5 as 5 (ones).
    • Students will be able to break down a number into hundreds, tens, and ones. For example, they can decompose 275 as 200 + 70 + 5 and understand how these parts combine to make the whole number.
    • Students will compare two or more numbers by examining the hundreds, tens, and ones digits to determine which is larger or smaller (e.g., recognizing that 478 is greater than 465 because the tens digit is larger).
    • Students will use their understanding of ones, tens, and hundreds to round numbers to the nearest ten or hundred. For example, rounding 482 to 480 (nearest ten) or 500 (nearest hundred).
    • Students will apply their understanding of place value to real-life situations such as counting money, estimating quantities, or understanding measurements (e.g., recognizing that 256 can be thought of as 2 hundreds, 5 tens, and 6 ones).

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

-Compare numbers using place value:

  • Example: 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.

This helps students understand how to use place value to compare numbers.

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