Standard Form 8
Test your understanding of standard form (scientific notation) with this self-marking quiz.
Evaluate these expressions without using a calculator giving your answer in standard 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.
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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).
See the National Curriculum page for links to related online activities and resources.
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.
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.
= 3.48 x 10000
= 3.48 x 10 x 10 x 10 x 10
= 3.48 x 104
= 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 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.