Question

Apply the rules of significant figures. Convert each of the following to meters (show work) (use dimensional analysis set up):

A. 3.20 times 10¹² nm = _____________ₘeters
B. 3.6 times 10⁻³ km = _____________ₘeters
C. 100.0 yards = _____________ₘeters

Answer 1

To convert measurements to meters using significant figures, apply the relevant conversion factors and adjust the result to the correct number of significant figures.

Step-by-step explanation:

Applying the rules of significant figures to convert each measurement to meters:

• A. 3.20 times 10¹² nm = 3.20 * 10¹² nm * (1 m / 10¹ nm) = 3.20 * 10³ m
• B. 3.6 times 10⁻³ km = 3.6 * 10⁻³ km * (1000 m / 1 km) = 3.6 m
• C. 100.0 yards = 100.0 yards * (0.9144 m / 1 yard) = 91.44 m