To determine the number of significant figures in the number [tex]\( 0.005680 \times 10^{-3} \)[/tex], we follow these steps:
1. Identify the base number:
The significant figures are only found in the base number [tex]\( 0.005680 \)[/tex]; the multiplicative factor [tex]\( 10^{-3} \)[/tex] does not affect the count of significant figures.
2. Locate the position of significant digits:
For [tex]\( 0.005680 \)[/tex], the significant figures start from the first non-zero digit.
- In this case, the non-zero digits start at the digit `5`.
3. Count all subsequent digits, including zeros, until you reach the end of the number:
- From `5`, the sequence is `680`.
4. List all significant digits:
- The significant digits in [tex]\( 0.005680 \)[/tex] are `5`, `6`, `8`, and the trailing `0` after `8`.
- Thus, the digits considered significant are 5, 6, 8, 0.
5. Conclusion:
- The total number of significant figures in [tex]\( 0.005680 \)[/tex] is 4.
Hence, the correct answer is (1) 4.
