Place value models up to hundreds

3rd class Place value models up to hundreds by Delta publications

key notes :

🎍 What is Place Value?
  • Place Value: The value of a digit based on its position in a number.
  • Digits: The symbols used to represent numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).
  • Positions: Ones, tens, and hundreds places in a number.
🎎 Understanding the Place Value Chart:

Hundreds Place: Represents the number of hundreds in a number.

  • Example: In 342, the digit 3 is in the hundreds place and represents 300.

Tens Place: Represents the number of tens in a number.

  • Example: In 342, the digit 4 is in the tens place and represents 40.

Ones Place: Represents the number of ones in a number.

  • Example: In 342, the digit 2 is in the ones place and represents 2.
🎉 Place Value Models:

Base-Ten Blocks:

Hundreds Block (Flat): Represents 100.

Tens Rod: Represents 10.

Ones Cube: Represents 1.

Drawing Place Value Models:

Draw large squares for hundreds, tall rectangles for tens, and small squares for ones.

  • Example: For the number 324, draw 3 hundreds blocks, 2 tens rods, and 4 ones cubes.
🎄 Decomposing Numbers:

Breaking Down Numbers: Understand how to break down numbers into hundreds, tens, and ones.

  • Example: 562 = 500 + 60 + 2.

Expanded Form: Writing numbers to show the value of each digit.

  • Example: 562 in expanded form is 500 + 60 + 2.
🎄Building Numbers Using Place Value Models:

Creating Numbers: Use base-ten blocks or drawings to build numbers.

  • Example: To make 245, use 2 hundreds blocks, 4 tens rods, and 5 ones cubes.

Practice: Build and write different numbers using place value models to reinforce understanding.

🎨 Comparing and Ordering Numbers:

Using Place Value: Compare numbers by looking at the digits in the hundreds, tens, and ones places.

  • Example: 385 is greater than 372 because the hundreds place is the same, but 8 tens is greater than 7 tens.

Ordering Numbers: Arrange numbers in ascending or descending order by comparing their place values.

  • Example: Order 324, 542, and 236 in ascending order: 236, 324, 542.
🎨Word Problems with Place Value:

Real-Life Application: Solve word problems involving place value.

  • Example: “If you have 4 hundreds, 3 tens, and 2 ones, what number do you have?” (Answer: 432).

Learn with an example

🗼 What number is shown?

  • Count the tens. There are 2 tens.
  • Count the ones. There are 4 ones.
  • Now write the number. Use a place value chart.
tensones
24
  • The number is 24.

🗼 What number is shown?

  • Count the tens. There are 4 tens.
  • Count the ones. There are 0 ones.
  • Now write the number. Use a place value chart.
tensones
40
  • The number is 40.

🗼What number is shown?

  • Count the ones. There are 3 ones.
  • The number is 3.

Let’s practice!