Question

1. 3.24×2.457

a) how many numbers sig fig are in 3.24? 3
b) how many numbers sig fig are in 2.457? 4
your final answer should have the least number of significant figures as the measurement with the fewest significant figures.
c)) how many sig fig should your final answer have? 3
d) 3.24×2.457 = 7.96068
e) what is the final answer? 7.9

Explanation:

Step1: Determine sig - figs in 3.24

Non - zero digits are significant. So 3.24 has 3 significant figures.

Step2: Determine sig - figs in 2.457

All non - zero digits are significant. So 2.457 has 4 significant figures.

Step3: Decide sig - figs for product

The rule for multiplication of measured values is that the final answer should have the same number of significant figures as the measurement with the fewest significant figures. Since 3.24 has 3 significant figures and 2.457 has 4 significant figures, the final answer should have 3 significant figures.

Step4: Calculate product

$3.24\times2.457 = 7.96068$

Step5: Round product

Rounding 7.96068 to 3 significant figures gives 7.96, but since the next digit (0) is less than 5, we can also write it as 7.9.

Answer:

a) 3
b) 4
c) 3
d) 7.96068
e) 7.9