How many significant figures are in the number 0.002060? A 7 B 6 C 5 D 4 E 3

Break Down the Problem

1. Identify the digits in the number 0.002060.
2. Determine which digits are considered significant figures.

Relevant Concepts

1. Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal part of the number.

Analysis and Detail

1. The number 0.002060 has the following components:

   • The leading zeros (0.00) are not significant.
   • The digits 2, 0, 6, and the trailing 0 after 6 are significant.
   • The digit 2 is significant (non-zero).
   • The digit 0 following 2 is significant because it is between significant digits (2 and 6).
   • The digit 6 is significant (non-zero).
   • The trailing zero (0) in the decimal portion is significant.

2. Therefore, the significant figures in the number 0.002060 are:

   • 2 (1)
   • 0 (2)
   • 6 (3)
   • 0 (4)

Verify and Summarize

The non-significant figures (the leading zeros) do not affect the count, leaving us with a total of 4 significant figures.

Final Answer

D 4