Convert between standard and expanded form

key notes :

🎈1. Understanding Standard Form:

• Definition: Standard form is the usual way of writing numbers using digits.
• Example: The number 273 is in standard form.

🎆2. Understanding Expanded Form:

• Definition: Expanded form breaks down a number into the sum of each digit multiplied by its place value.
• Example: The number 273 in expanded form is 200 + 70 + 3.

🎇3. Converting from Standard Form to Expanded Form:

1. Identify Place Values: Determine the place value of each digit in the number.
   • Example: For 473:
     • 4 is in the hundreds place (400)
     • 7 is in the tens place (70)
     • 3 is in the ones place (3)
2. Write Each Value Separately:
   • Break the number into its place value components.
   • Example: 473 = 400 + 70 + 3
3. Combine the Values:
   • Add the values together to express the number in expanded form.
   • Example: 400 + 70 + 3 = 473 in standard form.

🧨4. Converting from Expanded Form to Standard Form:

1. Add the Place Values Together:
   • Combine the place value components to form the number.
   • Example: For 500 + 20 + 8:
     • 500 (hundreds)
     • 20 (tens)
     • 8 (ones)
2. Write the Combined Value:
   • Add the place values together.
   • Example: 500 + 20 + 8 = 528

🎉5. Examples for Practice:

Standard Form to Expanded Form:

• Convert 245 to expanded form:
  • 245 = 200 + 40 + 5
• Convert 379 to expanded form:
  • 379 = 300 + 70 + 9

Expanded Form to Standard Form:

• Convert 600 + 50 + 7 to standard form:
  • 600 + 50 + 7 = 657
• Convert 400 + 30 + 2 to standard form:
  • 400 + 30 + 2 = 432

🎉6. Key Steps for Conversion:

From Standard to Expanded:

• Identify the place value of each digit.
• Write each digit as a multiple of its place value.
• Combine these values to form the expanded form.

From Expanded to Standard:

• Add up all the place value components.
• Write the final sum as a single number in standard form.

🎃7. Tips for Students:

• Place Value Chart: Use a place value chart to visualize and organize digits.
• Break Down the Number: Focus on each digit’s place value when converting.
• Practice Regularly: Work on practice problems to become more comfortable with both forms.

Learn with an example

Let’s practice!