Expanded Form of a Number

The reading material provided on this page for 'How to write the Expanded form of a Number' is specifically designed for students in grades 3 and 4. So, let's begin!

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