What is the order of magnitude of 800?

1 Answer
Aug 19, 2014

The Orders of Magnitude is better thought of as what power of 10 is a number raised to using scientific notation. Order of magnitude is written using powers of 10.

Order of magnitude can be derived from scientific notation where we have #a * 10^n# where n is the order of magnitude.

The easiest way to work forwards is start with #n = 1#, and work up powers until #10^n# is greater than or equal to your original number.

In this case, 800 can be written as #8 * 100# which, in scientific notation is #8 * 10^2# where the order of magnitude is 2.

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