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Standard Form 6

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

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Write these numbers in standard form.

757000

= ×10 Correct Wrong

8790

= ×10 Correct Wrong

7410

= ×10 Correct Wrong

0.00349

= ×10 Correct Wrong

5070

= ×10 Correct Wrong

846000

= ×10 Correct Wrong

77500

= ×10 Correct Wrong

937000

= ×10 Correct Wrong

3.09

= ×10 Correct Wrong

301000

= ×10 Correct Wrong

0.775

= ×10 Correct Wrong

685000

= ×10 Correct Wrong

Check

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

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.

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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 - 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

To convert a number to standard form means to write it in the form a x 10b where a is a number greater than or equal to one and less than ten and b is an integer.

34800

= 3.48 x 10000

= 3.48 x 10 x 10 x 10 x 10

= 3.48 x 104

 

0.0348

= 3.48 ÷ 100

= 3.48 x 1100

= 3.48 x 10-2

 

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

3.48

= 3.48 x 1

= 3.48 x 100

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. You can double-click the 'Check' button to make it float at the bottom of your screen.

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