8.2 × 107 = 82000000
8.09 × 107 = 80900000
8.09 × 106 = 8090000
8.9 × 106 = 8900000
8.29 × 106 = 8290000
There are more activities on the more general topic of Indices and some particularly useful links can be found below:
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Level 1 - Five numbers to sort, all with positive powers of 10
Level 2 - Ten numbers to sort, all with positive powers of 10
Level 3 - Ten numbers to sort, all with negative powers of 10
Level 4 - Ten mixed numbers to sort, all greater than 1
Level 5 - Ten mixed numbers to sort, all less than 1
Standard Form Exercise - A self marking exercise on converting standard form numbers to ordinary numbers and vica-versa
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 conveniently writing numbers that accommodates values too large or small to be conveniently written in standard decimal notation.
3.48 x 104
= 3.48 x 10 x 10 x 10 x 10
= 3.48 x 10000
3.48 x 10-2
3.48 x 1⁄100
= 3.48 ÷ 100
Finally note that any number raised to the power zero is 1 so:
3.48 x 100
= 3.48 x 1