STANDARD AND EXPANDED FORM

⭐ Two ways to show a number! ⭐
WHAT ARE THEY?
STANDARD FORM:

The normal way of writing a number using digits.

EXPANDED FORM:

The way of writing a number as the sum of the values of each digit based on its place.

💬 Expanded form helps us see the value of each digit!
PLACE VALUE REMINDER
Thousands Hundreds Tens Ones
Th H T O
1000 100 10 1

The value of a digit depends on its place (position).

Example: In 348, 3 is in hundreds place, so its value is 300. 💡
QUICK FACTS 💡
  • In standard form, we write the number in the usual way.
  • In expanded form, we add the value of each digit.
  • Expanded form shows the place value of each digit clearly.
  • A number can have both forms.
EXAMPLES: STANDARD FORM AND EXPANDED FORM
DIGITS 2-DIGIT NUMBERS 3-DIGIT NUMBERS 4-DIGIT NUMBERS 5-DIGIT NUMBERS
Standard Form Expanded Form Standard Form Expanded Form Standard Form Expanded Form Standard Form Expanded Form
1 27 20 + 7 147 100 + 40 + 7 1,234 1000 + 200 + 30 + 4 12,345 10000 + 2000 + 300 + 40 + 5
2 45 40 + 5 235 200 + 30 + 5 2,345 2000 + 300 + 40 + 5 23,456 20000 + 3000 + 400 + 50 + 6
3 68 60 + 8 369 300 + 60 + 9 3,678 3000 + 600 + 70 + 8 34,567 30000 + 4000 + 500 + 60 + 7
4 83 80 + 3 482 400 + 80 + 2 4,809 4000 + 800 + 0 + 9 45,678 40000 + 5000 + 600 + 70 + 8
5 96 90 + 6 597 500 + 90 + 7 9,215 9000 + 200 + 10 + 5 98,765 90000 + 8000 + 700 + 60 + 5
PRACTICE TIME! ✏️

A. Write in Expanded Form.

  • 1. 38 =
  • 2. 56 =
  • 3. 79 =
  • 4. 62 =
  • 5. 91 =

B. Write in Standard Form.

  • 1. 40 + 5 =
  • 2. 300 + 20 + 7 =
  • 3. 500 + 60 + 9 =
  • 4. 2000 + 400 + 30 + 6 =
  • 5. 10000 + 3000 + 200 + 40 + 7 =

C. Fill in the Blanks.

  • 1.
    614
    = +
  • 2.
    285
    = + +
  • 3.
    3016
    = + +
  • 4.
    57219
    = + +
                      + +

D. True or False.

  • 1. Expanded form of 23 is 2 + 3. ( )
  • 2. Expanded form of 407 is 400 + 70 + 7. ( )
  • 3. 900 + 80 + 6 is 986. ( )
  • 4. In 1,234, the digit 3 has value 30. ( )
  • 5. The expanded form of 50,009 is 50,000 + 0 + 0 + 0 + 9. ( )
TIPS TO REMEMBER
  • Look at the place of each digit.
  • Multiply the digit by its place value.
  • Then add all the values to write expanded form.
  • In expanded form, write each value from largest place to smallest place.
🌟 Practice more, Learn better! 🌟