Question

1. determine the number of significant figures in the following numbers: a. 390 ml b. 3.03 x 10^-3 mm c. 0.003050 kg d. 2.00 kpa

Explanation:

Step1: Identify significant - figure rules for non - scientific and scientific notation

Non - zero digits are always significant. Zeros between non - zero digits are significant. Leading zeros are not significant. Trailing zeros in a number with a decimal point are significant.

Step2: Analyze a. 390 mL

The number 390 has 2 significant figures because the trailing zero is not significant without a decimal point.

Step3: Analyze b. $3.03\times10^{-3}$ mm

In scientific notation, all digits in the coefficient ($3.03$) are significant. So, it has 3 significant figures.

Step4: Analyze c. 0.003050 kg

Leading zeros are not significant, but zeros between non - zero digits and trailing zeros after a non - zero digit are significant. So, it has 4 significant figures.

Step5: Analyze d. 2.00 kPa

Trailing zeros after a decimal point are significant. So, it has 3 significant figures.

Answer:

a. 2 significant figures
b. 3 significant figures
c. 4 significant figures
d. 3 significant figures