Question

Determine the number of significant figures in the following measurements:

13.26 grams
0.33 meters
50.6 milliliters
120 kilometers
6.030 grams
0.013 liters
a) 4, 2, 3, 3, 4, 2
b) 3, 2, 3, 3, 4, 2
c) 4, 2, 3, 3, 3, 2
d) 3, 2, 3, 3, 3, 2

Answer 1

The number of significant figures for each measurement, following the standard rules, are 4, 2, 3, 3, 4, and 2 respectively; therefore, the correct answer is (b) 4, 2, 3, 3, 4, 2.

Step-by-step explanation:

To determine the number of significant figures in each measurement, we apply the rules of significant figures:

• Non-zero digits are always significant.
• Any zeroes between significant digits are significant.
• Leading zeroes are not significant.
• Trailing zeroes in a decimal number are significant.

Applying these rules, we find:

1. 13.26 grams has 4 significant figures.
2. 0.33 meters has 2 significant figures (leading zeros do not count).
3. 50.6 milliliters has 3 significant figures.
4. 120 kilometers has 3 significant figures (the final zero is significant because it is a trailing zero in a number with a decimal).
5. 6.030 grams has 4 significant figures (the trailing zero after a decimal point is significant).
6. 0.013 liters has 2 significant figures (leading zeros do not count).

Therefore, the correct answer is (b) 4, 2, 3, 3, 4, 2.