Expanded form – Definition with Examples
Concept
The expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values, they can also form a mathematical expression. The standard form is the reverse of expanded form.
Rules
1. Read the number from left to right.
2. Use the place value chart to determine the expanded form.
3. Write the digits in their place value positions.
Example
Write in expanded form.
7,132,094
Solution
Use a place value chart to find the missing number. Write the given numbers in the correct place value position.
Answer: 7,000,000 + 100,000 + 30,000 + 2,000 + 90 + 4
Practice Expanded Form
Practice Problem 1
Complete the expanded form.
7,132,094
Practice Problem 2
Write 866,793,336 in expanded form.
Practice Problem 3
Write in expanded form.
86.3218
Standard Form – the usual way of writing numbers in decimal notation.
Expanded Form – a method of writing a number that highlights the value of each digit.
Pre-requisite Skills
Value of digit – up to 1000
Write word names for numbers – up to 1000
Write numbers for word names – up to 1000
Value of Digit – Up to Thousands
Write Numbers for Word Names – Up to Thousands
Write Word Names for Numbers – Up to Thousands
Value of Digit – Up to Ten Thousands
Write Numbers for Word Names – Up to Ten Thousands
Write Word Names for Numbers – Up to Ten Thousands
Place Value Models – Up to Thousands
Write Numbers for Word Names – Up to Hundred Thousands
Write Word Names for Numbers – Up to Hundred Thousands
Value of Digits
Related Skills
Compare Whole Numbers
Rounding Whole Numbers to Nearest Thousand
Value of Digit – Up to Hundred Thousands
Write Numbers for Word Names – Up to Millions
Write Word Names for Numbers – Up to Millions
Value of Digit – Up to Millions
Write Word Names for Numbers
Compare Numbers
Value of Digits (Decimal Numbers)
Write Word Names for Decimal Numbers