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Multiple Choice
Which quantity in the following pair is smaller?
A
155 pm
B
7.8 x 10–9 cm
Verified step by step guidance
1
First, understand the units involved: pm stands for picometers, and cm stands for centimeters. These are both units of length, but they are on different scales.
Convert picometers to centimeters. Recall that 1 picometer (pm) is equal to 1 x 10^-12 meters, and 1 meter is equal to 100 centimeters. Therefore, 1 pm = 1 x 10^-12 m = 1 x 10^-10 cm.
Calculate the length in centimeters for 155 pm. Multiply 155 by the conversion factor from picometers to centimeters: 155 pm x (1 x 10^-10 cm/pm).
Compare the converted value of 155 pm in centimeters to 7.8 x 10^-9 cm. This involves comparing two numbers in scientific notation.
Determine which of the two values is smaller by comparing the exponents and coefficients in scientific notation. The smaller value will have a smaller exponent or, if the exponents are the same, a smaller coefficient.