Convert between standard and expanded form

key notes :

🎈 Understanding Standard Form:

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

🎆 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.

🎇Converting from Standard Form to Expanded Form:

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)

Write Each Value Separately:

Break the number into its place value components.

• Example: 473 = 400 + 70 + 3

Combine the Values:

Add the values together to express the number in expanded form.

• Example: 400 + 70 + 3 = 473 in standard form.

🧨Converting from Expanded Form to Standard Form:

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)

Write the Combined Value:

• Add the place values together.

• Example: 500 + 20 + 8 = 528

🎉 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

🎉 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.

🎃 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!