Scientific notation: convert, compare and order

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Learn it Scientific notation is $a \times 10^n$ with $1 \le a < 10$. A negative power means a small number. To compare, look at the powers of 10 first.

Example: Write 0.00047 in scientific notation.

Move the decimal point right until one non-zero digit is in front: 4.7.
You moved it 4 places right, so the power is −4.
$0.00047 = 4.7 \times 10^{-4}$.

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