Question

question 30
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perform the following operation:
(8.3 x 10^-1 cm) - (2.45 x 10^-1 cm)
give the answer in scientific notation to the correct number of significant digits. use ^ to indicate a superscript (eg. 2.3 x 10^2 m to indicate 2.3 x 10² m)
answer:
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Explanation:

Step1: Subtract the decimal values

$8.3 \times 10^{-1}\ \text{cm} - 2.45 \times 10^{-1}\ \text{cm} = (8.3 - 2.45) \times 10^{-1}\ \text{cm}$
$= 5.85 \times 10^{-1}\ \text{cm}$

Step2: Round to correct sig figs

For subtraction, round to the least number of decimal places. 8.3 has 1 decimal place, so round 5.85 to 5.9.
$= 5.9 \times 10^{-1}\ \text{cm}$

Answer:

$5.9 \times 10^{-1}\ \text{cm}$