Question

1. determine the number of significant digits in the following measurements.

a. 14.90 l
b. 0.034 l
c. 303 l
d. 15000 l
e. 0.002040 l

1. add the following measurements and report the answer using the

Explanation:

Step1: Recall significant - digits rules

Non - zero digits are always significant. Leading zeros (zeros before non - zero digits) are not significant. Trailing zeros in a number with a decimal point are significant.

Step2: Analyze value a (14.90 L)

Non - zero digits 1, 4, 9 are significant. The trailing zero after the decimal is also significant. So, there are 4 significant digits.

Step3: Analyze value b (0.034 L)

The leading zeros are not significant. Non - zero digits 3 and 4 are significant. So, there are 2 significant digits.

Step4: Analyze value c (303 L)

Non - zero digits 3 and 3 are significant. The zero between non - zero digits is significant. So, there are 3 significant digits.

Step5: Analyze value d (15000 L)

Without a decimal point, the trailing zeros may or may not be significant. Assuming no additional information, we consider only non - zero digits significant. So, there are 2 significant digits.

Step6: Analyze value e (0.002040 L)

Leading zeros are not significant. Non - zero digits 2, 4 are significant, and the trailing zero after 4 is significant. So, there are 4 significant digits.

Answer:

a. 4
b. 2
c. 3
d. 2
e. 4