Carry out each of the following conversions. Report your answers using scientific notation.
Note: Reference the SI prefixes table for additional information. 84.m to cm. Be sure your answer has the correct number of significant figures.
To convert from meters (m) to centimeters (cm), we can use the conversion factor 1 m = 100 cm.
Given that the initial value is 84.m, we need to determine the appropriate number of significant figures. However, the given value 84.m does not explicitly state the number of digits it contains after the decimal point. Thus, we can assume it is a placeholder and consider it significant.
To maintain the number of significant figures in the conversion, we must determine the number of places the decimal point should be shifted in order to obtain the result in centimeters.
Since we are going from a larger unit (meters) to a smaller unit (centimeters), we need to shift the decimal point two places to the right.
Hence, 84.m = 8400 cm in scientific notation.