Convert between place values

key notes :

🎇1. Understanding Place Value:

• Place Value Definition: Place value refers to the value of a digit depending on its position in a number.
• Place Value Positions: Common place values include ones, tens, hundreds, and thousands.

✨2. Basic Place Value Positions:

• Ones Place: The first digit from the right.
  • Example: In 423, the digit 3 is in the ones place.
• Tens Place: The second digit from the right.
  • Example: In 423, the digit 2 is in the tens place.
• Hundreds Place: The third digit from the right.
  • Example: In 423, the digit 4 is in the hundreds place.
• Thousands Place: The fourth digit from the right.
  • Example: In 5,423, the digit 5 is in the thousands place.

🎟3. Converting Between Place Values:

• Moving Left (Increasing Place Value):
  • When you move a digit one place to the left, its value becomes 10 times greater.
  • Example: Moving the digit 3 from the ones place to the tens place changes its value from 3 to 30.
• Moving Right (Decreasing Place Value):
  • When you move a digit one place to the right, its value becomes 10 times smaller.
  • Example: Moving the digit 4 from the hundreds place to the tens place changes its value from 400 to 40.

🎉4. Converting Example:

• Example 1: Convert 5 tens to ones:
  • 5 tens = 50 ones (because 5 × 10 = 50).
• Example 2: Convert 3 hundreds to tens:
  • 3 hundreds = 30 tens (because 3 × 100 = 300 and 300 ÷ 10 = 30).

🎫5. Expanded Form to Standard Form:

• Expanded Form: A way to break down a number by its place value.
  • Example: 342 = 300 + 40 + 2
• Converting Expanded Form to Standard Form:
  • Add the place values together to get the number: 300 + 40 + 2 = 342.
• Practice: Convert numbers from expanded form to standard form and vice versa.

🎄6. Relating Place Values:

• Understanding Relationships: Recognize that 10 ones = 1 ten, 10 tens = 1 hundred, and so on.
  • Example: In the number 1,234, the 2 in the hundreds place is worth 200, which is the same as 20 tens.
• Decomposition: Break down a number to show how it is made up of different place values.
  • Example: 456 can be decomposed into 400 (hundreds), 50 (tens), and 6 (ones).

🎟7. Converting Between Standard and Expanded Form:

• Standard Form to Expanded Form:
  • Example: 729 in expanded form is 700 + 20 + 9.
• Expanded Form to Standard Form:
  • Example: 600 + 50 + 4 = 654 in standard form.

🎨8. Using Place Value Charts:

• Place Value Chart: A tool that visually helps students see how digits are placed in different columns based on their value.
• Conversion Practice:
  • Use a place value chart to convert numbers between different forms.
  • Example: Write the number 1,236 on a place value chart and show how each digit relates to its place value.

Learn with an example

Let’s practice!