High School

Determine the number of significant figures.

a. 6.002 cm
b. 0.0020 m
c. 10.0500 g
d. 7000 kg
e. 7000. Kg

Answer :

Final answer:

Significant figures represent the precision of a measurement. Every non-zero digit, zeros between non-zero digits, and trailing zeros after a decimal point are significant. The measurements provided have four, two, six, one (or potentially four), and five significant figures respectively.

Explanation:

The number of significant figures in a numerical measurement represents the digits that carry meaning towards its precision. Here is the determination of significant figures for each provided measurement:

a. 6.002 cm - This has four significant figures because all zeros between non-zero digits are significant.

b. 0.0020 m - This has two significant figures. The leading zeros are not significant, but the trailing zero is because it indicates precision.

c. 10.0500 g - This has six significant figures; all zeros are significant because they are between non-zero digits or at the end of the number after the decimal point.

d. 7000 kg - This may have either one significant figure if the zeros are just placeholders, or four if these zeros are significant. Without further information such as a decimal point or scientific notation, we default to one significant figure.

e. 7000. Kg - The presence of a decimal point after the zeros indicates that all the zeros are significant, so this has five significant figures.

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