Question

3).0025 × 17.63
a)how many numbers sig fig are in.0025?
b) how many numbers sig fig are in 17.63?
c)) how many sig fig should your final answer have?
d).0025 × 17.63 = 0.044015
e) what is the final answer?

Explanation:

Step1: Determine sig - fig in 0.0025

Leading zeros are not significant. So 0.0025 has 2 significant figures.

Step2: Determine sig - fig in 17.63

All non - zero digits are significant. So 17.63 has 4 significant figures.

Step3: Determine sig - fig for multiplication

In multiplication, the result should have the same number of significant figures as the number with the fewest significant figures among the values being multiplied. Since 0.0025 has 2 significant figures and 17.63 has 4 significant figures, the final answer should have 2 significant figures.

Step4: Calculate the product

$0.0025\times17.63 = 0.044075$.

Step5: Round the answer

Rounding 0.044075 to 2 significant figures gives 0.044.

Answer:

a) 2
b) 4
c) 2
d) 0.044075
e) 0.044