Standard Form 3
Test your understanding of standard form (scientific notation) with this self-marking quiz.
Here are some numbers written in standard form. Can you write them in normal form.
Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.
When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.
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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?
Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:
"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."
Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:
"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
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Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.
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Level 1 - Converting from standard form. Positive indices.
Level 2 - Converting from standard form. Negative indices.
Level 3 - Converting from standard form. Mixed including zero as the index.
Level 4 - Converting to standard form. The inverse of level 1.
Level 5 - Converting to standard form. The inverse of level 2.
Level 6 - Converting to standard form. The inverse of level 3.
Level 7 - Mixed calculations.
Level 8 - Mixed calculations without a calculator.
Level 9 - Multiple choice exercise.
Exam Style questions are in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).
See the National Curriculum page for links to related online activities and resources.
Standard form, also known as scientific notation, is a way of conveniently writing numbers that accommodates values too large or small to be conveniently written in standard decimal notation.
3.48 x 104
= 3.48 x 10 x 10 x 10 x 10
= 3.48 x 10000
3.48 x 10-2
3.48 x 1⁄100
= 3.48 ÷ 100
Finally note that any number raised to the power zero is 1 so:
3.48 x 100
= 3.48 x 1