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Write each of the following in scientific notation.

The weight of a single grain of long grain rice: about $0.029$ grams.

The gate pitch of a microprocessor : $0.000000014$ meters

Solution

To convert this weight to scientific notation, we must first move the decimal behind the first non-zero digit to obtain $2.9\text{,}$ which requires that we move the decimal point 2 places. Thus we have:
$0\overbrace{.02}^{2\text{ places}}9\text{ grams} = 2.9 \times 10^{-2}\text{ grams}$

The gate pitch of a microprocessor is:
$0\overbrace{.00000001}^{8 \text{ places}}4\text{ meters} = 1.4 \times 10^{-8}\text{ meters}$

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