Math Tutorial 7.3 - Standard Form

There are 6 lessons in this math tutorial covering Standard Form. The tutorial starts with an introduction to Standard Form and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Standard Form. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

What is the standard form? Why it is used?
What is the relationship between standard form and other forms of expressing numbers?
Why standard form is more suitable than the decomposed form when making operations with numbers?
How to write decimals in standard form and vice-versa?
How to add and subtract numbers in standard form? Why this is much easier than adding or subtracting in the decomposed form?
How to multiply and divide numbers in standard form?
How to write very big and very small numbers in standard form?
How to deal with powers of numbers written in standard form?

Introduction

How do you write the number 35 million? 427 billion? 12 trillion? Is it suitable to write them with all those zeroes, i.e. in the ordinary form? Why?

An atom is about 0.1 nanometre in size. How do you express this number in metres given that 1 metre = 1 billion nanometre?

The above examples involve very large or very small numbers. Obviously, they can be written as they are, i.e. in the ordinary form. However, there is an alternate method which is much more suitable to express such numbers. This method is going to be explained in this tutorial.

Please select a specific "Standard Form" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Powers and Roots Learning Material
Tutorial ID	Math Tutorial Title	Revision Notes	Revision Questions
7.3	Standard Form
Lesson ID	Math Lesson Title	Lesson	Video Lesson
7.3.1	The Meaning of Standard Form.
7.3.2	Writing Decimals in Standard and Decomposed Form
7.3.3	Addition and Subtraction with Numbers in Standard and Decomposed Form
7.3.4	Multiplication and Division of Numbers in Standard Form
7.3.5	Very Big and Very Small Numbers
7.3.6	Powers of Numbers Written in the Standard Form

Whats next?

Enjoy the "Standard Form" math tutorial? People who liked the "Standard Form" tutorial found the following resources useful:

Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
Powers and Roots Video tutorial: Standard Form. Watch or listen to the Standard Form video tutorial, a useful way to help you revise when travelling to and from school/college
Powers and Roots Revision Notes: Standard Form. Print the notes so you can revise the key points covered in the math tutorial for Standard Form
Powers and Roots Practice Questions: Standard Form. Test and improve your knowledge of Standard Form with example questins and answers
Check your calculations for Powers and Roots questions with our excellent Powers and Roots calculators which contain full equations and calculations clearly displayed line by line. See the Powers and Roots Calculators by iCalculator™ below.
Continuing learning powers and roots - read our next math tutorial: Surds

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