The number of significant figures for the three numbers 193 cm, 0.193 cm, 0.0193 cm are:
Answer & explanation
Correct answer: option 2
The correct answer is option 2. 3, 3 and 3 respectively.
To determine the number of significant figures in a number:
A. All non-zero digits are significant.
B. Any zeros between non-zero digits are significant.
C. Leading zeros (zeros to the left of the first non-zero digit) are not significant.
D. Trailing zeros (zeros to the right of the last non-zero digit) in a number containing a decimal point are significant.
Let's apply these rules to the given numbers:
\(193\) cm:
All digits are non-zero, so all are significant.
Number of significant figures = \(3\).
\(0.193\) cm:
All digits are non-zero, so all are significant.
Number of significant figures = \(3\).
\(0.0193\) cm:
Leading zeros are not significant.
All other digits are non-zero, so they are significant.
Number of significant figures = \(3\).
So, the correct answer is: (2) \(3\), \(3\) and \(3\) respectively