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Convert each of the following from scientific notation to decimal notation (without any exponents).

A download speed of $7.53\times 10^{-3}$ Gigabyte per second

The weight of a poppy seed: about $3 \times 10^{-7}$ kilograms

Solution

To convert a download speed of $7.53\times 10^{-3}$ Gigabyte per second to decimal notation, we will move the decimal point $3$ places to the left and include the appropriate number of zeros:
$7.53\times 10^{-3}\text{ Gigabyte per second} = 0\overbrace{.007}^{3\text{ places}}53\text{ Gigabyte per second}$

The weight of a poppy seed is:
$3 \times 10^{-7}\text{ kilograms} = 0\overbrace{.0000003}^{7 \text{ places}}\text{ kilograms}$

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