- Current section: Introduction
- Learning outcomes
- 1 Squares, cubes and roots
- 2 Powers
- 3 Scientific notation
- 4 Open Mark quiz
- Acknowledgements
from The Open University
Alternatively you can skip the navigation by pressing 'Enter'.
Squares, roots and powers
From paving your patio to measuring the ingredients for your latest recipe,...
From paving your patio to measuring the ingredients for your latest recipe, squares, roots and powers really are part of everyday life. This unit reviews the basics of all three and also describes scientific notation, which is a convenient way of writing or displaying large numbers.
By the end of this unit you should be able to:
- evaluate the squares, cubes and other powers of positive and negative numbers with or without your calculator;
- estimate square roots and calculate them using your calculator;
- describe the power notation for expressing numbers;
- use your calculator to find powers of numbers;
- multiply and divide powers of the same number;
- understand and apply negative powers, the power 0 and the power 1 for any number;
- express any given number in scientific notation;
- convert a number from scientific notation to conventional decimal form;
- use scientific notation and the rules of powers to find estimates for calculations;
- read results displayed in scientific notation on your calculator.
- Duration: 5 hours
- Published on: Friday 10th June 2011
- Level: Introductory
- Posted under: Mathematics Education
Contents
Squares, roots and powers
Introduction

This unit reminds you about powers of numbers, such as squares and square roots. In particular, powers of 10 are used to express large and small numbers in a convenient form, known as scientific notation, which is used by scientific calculators.
This unit is from our archive and is an adapted extract from Open mathematics (MU120) which is no longer taught by The Open University. If you want to study formally with us, you may wish to explore other courses we offer in this subject area [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)] .
Archive content
This is an extract from an Open University course which is no longer available to new students. If you found this interesting you could explore more free Mathematics Education course units or view the range of currently available OU Mathematics Education courses.
Other pages You might like

Try: English: Personal Experiences
How has the English language influenced your life? How would you define your relationship...

Try: Experiences of learning mathematics
This unit is aimed at teachers who wish to review how they go about the practice of...

Study: Graduate Diploma in Mathematics...
If you’re teaching maths, but without a specialist background, this diploma will help...

Try: Working with diagrams
Working with diagrams is essential for students of science, technology, engineering and...

Try: Modelling static problems
This unit lays the foundation of the subject of mechanics. Mechanics is concerned with...

Try: Working on your own mathematics
This unit focuses on your initial encounters with research. It invites you to think about...

Try: Learning to change
This unit is for people who are thinking about making changes in their lives, such as...

Try: Key skills assessment unit: Application...
Numerical and mathematical skills are used to describe and tackle a wide range of...

Try: Working mathematically
This unit is aimed at teachers who wish to review how they go about the practice of...

Try: Revision and examinations
Do you get stressed at the thought of an examination? Does the idea of revision fill you...

Try: Finding information in education
This unit will help you to identify and use information in education, whether for your...

Try: Numbers: An introduction to subtraction
Do you want to improve your ability to subtract one number from another, especially if...
Comments
Be the first to post a comment
Copyright & revisions
Copyright information
- Creative-Commons: The Open University is proud to release this free course under a Creative Commons licence. However, any third-party materials featured within it are used with permission and are not ours to give away. These materials are not subject to the Creative Commons licence. See terms and conditions. Full details can be found in the Acknowledgements section.
Feeds
If you enjoyed this, why not follow a feed to find out when we have new things like it? Choose an RSS feed from the list below. (Don't know what to do with RSS feeds?)
Remember, you can also make your own, personal feed by combining tags from around OpenLearn.
Alternative Formats
Tags, Ratings and Social Bookmarking
Page Tags
Sign in or create a free account to add tags to your personal tag cloud using:
Taking off
Free stuff to your door
International Alphabet Soup
OU TV & Radio
-
Click: A Route 66 of the future - Ep 4BBC World Service
Wednesday 2:32 -
Click: A Route 66 of the future - Ep 4BBC World Service
Wednesday 9:32 -
Thinking Allowed: DianaBBC Radio 4
Wednesday 16:00 -
Airport Live, Episode 3BBC Two
Wednesday 20:00 -
Airport Live, Episode 4BBC Two
Thursday 20:00
Views
Votes
Comments
Tags
- climate change (374)
- business (278)
- diaries (194)
- food (170)
- bottom line (169)
- Rough Science (162)
- BBC Two (150)
- BBC Radio 4 (149)
- internet (145)
- BBC (136)
- listings (122)
- Scotland (121)
- points for debate (120)
- Bang goes the Theory (116)
- children (116)
- Creative Climate (116)
- English Civil War (115)
- Thinking Allowed (109)
- astronomy (108)
- religion (98)
- marketing (94)
- 20th century (94)
- Charles I (93)
- communication (92)
- evolution (91)
- research (89)
- sustainability (89)
- architecture (86)
- energy (83)
- Charles Darwin (78)
OpenLearn Links
Copyrighted imageCredit: Background image Lucian Milasan | Dreamstime.com 

