Place value models up to hundreds

key notes :

🎍1. 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.

🎎2. 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.

🎉3. 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.

🎄4. 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.

🎄5. 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.

🎨6. 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.

🎨7. 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

Let’s practice!