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Standard Form :: Level 1

Test your understanding of standard form (scientific notation) with this self-marking quiz.

Menu Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Level 9 L10 Exam Help

Here are some numbers written in standard form. Can you write them in normal form.

8.77 x 101 =

Correct Wrong

8.77 x 102 =

Correct Wrong

8.77 x 103 =

Correct Wrong

4.63 x 101 =

Correct Wrong

2.13 x 104 =

Correct Wrong

3.43 x 101 =

Correct Wrong

2.07 x 105 =

Correct Wrong

1.23 x 105 =

Correct Wrong

3.02 x 103 =

Correct Wrong

9.89 x 102 =

Correct Wrong

1.75 x 104 =

Correct Wrong

5.82 x 105 =

Correct Wrong

Check

This is Standard Form level 1. You can also try:
Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Level 9 Level 10

Instructions

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.

Why am I learning this?

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?

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"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

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"Thank you so much for your wonderful site. I have so much material to use in class and inspire me to try something a little different more often. I am going to show my maths department your website and encourage them to use it too. How lovely that you have compiled such a great resource to help teachers and pupils.
Thanks again"

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Answers

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Go Maths

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.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

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Description of Levels

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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 - Standard form numbers in fractions without a calculator.

Level 10 - Multiple choice exercise.

Standard Form Algebra - Deeply test your understanding of standard form by involving a little algebra.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Standard Form

Standard form, also known as scientific notation, is a way of writing numbers that accommodates values too large or small to be conveniently written in standard decimal notation.

Standard Form

Examples

3.48 x 104

= 3.48 x 10 x 10 x 10 x 10

= 3.48 x 10000

= 34800

 

3.48 x 10-2

3.48 x 1100

= 3.48 ÷ 100

= 0.0348

 

Finally note that any number raised to the power zero is 1 so:

3.48 x 100

= 3.48 x 1

= 3.48

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

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