Expanded Form of a Number

Expanded Form of a Number - Sub Topics

  • Expanded Form
  • Examples on Expanded Form of a Number
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    Expanded Form of a Number

    The expanded form of a number is a way to represent it as the sum of its individual place values. Each digit in the number represents a unique place value that is determined by its position relative to the right-hand side of the number. The rightmost digit has a place value of 1 and each digit to the left has a place value ten times greater than the one to its right.


    To express Numbers in Expanded Form -

    Step 1: The standard form of a number is 432.

    Step 2: The place value of the given number is:


    4 – Hundreds
    3 – Tens
    2 – Ones

    Step 3: Multiply the number 432 by its place value.

    4 × 100, 3 × 10, 2 × 1

    Step 4: Hence, the expanded form of 432 is: 400 + 30 + 2

    Examples on Expanded Form of a Number

    Expanded form is the representation of a number as a sum of individual digits, each representing a place value.

    1. Consider the number 356:

    Expanded form of 356 = 300 + 50 + 6

    This means that the number 356 is made up of 3 hundreds, 5 tens, and 6 ones.

    2. Consider the number 438:

    The expanded form of 438, can be written as:


    The expanded form of 438 is: 400 + 30 + 8

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