Standard Form 9Test your understanding of standard form (scientific notation) with this selfmarking, multiplechoice quiz. 
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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/Alevel 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.
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.
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 10^{4}
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 10^{0}
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