Question

item 4
correct any answers that have the incorrect number of significant figures.
part a
45.0254×88.00026 = 4007.35
4007
4007.35
4007.4
4007.353
previous answers
correct
part b
0.00740×46.5901 = 0.345
0.345
0.3448
0.344797
0.34477

Explanation:

Step1: Identify significant - figure rules

In multiplication, the result should have the same number of significant figures as the factor with the fewest significant figures.

Step2: Analyze Part A

$45.0254$ has 6 significant figures and $88.00026$ has 7 significant figures. The product $45.0254\times88.00026 = 4007.35032604$. Since the least number of significant - figures among the factors is 6, the result should be rounded to 6 significant figures. $4007.35$ is correct as it has 6 significant figures.

Step3: Analyze Part B

$0.00740$ has 3 significant figures and $46.5901$ has 6 significant figures. First, calculate the product: $0.00740\times46.5901=0.34476674$. Since the least number of significant - figures among the factors is 3, the result should be rounded to 3 significant figures. Rounding $0.34476674$ to 3 significant figures gives $0.345$.

Answer:

Part A: $4007.35$
Part B: $0.345$