Standard Form

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.

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Description of Levels

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.

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.

Examples

To convert a number to standard form means to write it in the form a x 10^b 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 ¹⁄₁₀₀

= 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.

\( \dfrac{1}{1 \times 10^7} \) = ×10	\( \dfrac{1}{1 \times 10^{-3}} \) = ×10	\( \dfrac{1}{2 \times 10^{4}} \) = ×10
\( \dfrac{1}{5 \times 10^{-7}} \) = ×10	\( \dfrac{1}{4 \times 10^{-8}} \) = ×10	\( \dfrac{1}{2.5 \times 10^{6}} \) = ×10
\( \dfrac{1}{1.25 \times 10^{5}} \) = ×10	\( \dfrac{1}{8 \times 10^{4}} \) = ×10	\( \dfrac{3}{5 \times 10^{6}} \) = ×10
\( \dfrac{9}{4 \times 10^{-5}} \) = ×10	\( \dfrac{1000}{8 \times 10^{7}} \) = ×10	\( \dfrac{7}{8 \times 10^{8}} \) = ×10
\( \dfrac{3 \times 10^{10}}{4 \times 10^{5}} \) = ×10	\( \dfrac{1.5 \times 10^{2}}{6 \times 10^{-3}} \) = ×10	\( \dfrac{8.5 \times 10^{-5}}{5 \times 10^{-7}} \) = ×10

Standard Form :: Level 9

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

Instructions

More Activities:

Featured Activity

Snooker Angles

Answers

Go Maths

Maths Map

Teachers

Description of Levels

Curriculum Reference

Standard Form

Examples