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Scientific notation

Scientific notation, also referred to as scientific form, standard index form, or standard form, is a way of writing very large or very small numbers without having to write out every digit. This is written as a number between

1

and

10

multiplied by a power of

10

and is represented by the formula:

a \cdot 10^{b}

In which

1≤a<10 .
The power that

10

is raised to can be thought of as the number of places to the right (when the power is positive) or left (when the power is negative) that the decimal point needs to move.

For example:

5.6 \cdot 10^{9}

is the scientific notation of

5, 600, 000, 000

, where the decimal point moves nine places to the right.

5 \cdot 10^{- 9}

is the scientific notation of

0.000000005

, where the decimal point moves nine places to the left.

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