What is the order of magnitude of 800?

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What is the order of magnitude of 800?

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Answer 1 · 2014-08-19T16:04:38

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 $a \cdot 10^{n}$ $a * 10^n$ where n is the order of magnitude.

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

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

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What is the order of magnitude of 800?

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