Convert between Standard and Expanded Form - Up to Millions - 5th Grade - Oryx Learning - Math lessons, practice material and activities.

G5 - 1.2 Convert between Standard and Expanded Form - Up to Millions

1.2 Convert between Standard and Expanded Form - Up to Millions

Write in Standard Form:

3,000,000 + 600,000 + 60,000 + 5,000 + 800 + 40 + 2

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Concept

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.

Rule

1. You read the number from left to right.

In reading, writing and comparing large numbers we group place values into periods 'ones', 'tens', 'hundreds', 'thousands', '10 thousands', '100 thousands', 'millions', '10 millions', '100 millions', 'billions', '10 billions', '100 billions', 'trillions', etc.

A comma separates every 3 periods.

2. Use a place value chart to find the standard form.

Example

Write in the standard form.

7,000,000 + 100,000 + 30,000 + 2,000 + 90 + 4

Solution

1. Use a place value chart to find the standard form. Write each digit in the correct place value position.

Billions			Millions			Thousands			Ones
Hundred Billions	Ten Billions	Billions	Hundred Millions	Ten Millions	Millions	Hundred Thousands	Ten Thousands	Thousands	Hundreds	Tens	Ones

					7	0	0	0	0	0	0
						1	0	0	0	0	0
							3	0	0	0	0
								2	0	0	0
										9	0
											4
					7	1	3	2	0	9	4