Final answer:
To solve the problem 0.000180 x 4.00006 using the correct number of significant figures, we multiply the numbers to get 0.0007200108 and then round to three significant figures, yielding 0.000720 as the final answer.
Step-by-step explanation:
The student's question involves performing a calculation and expressing the answer with the correct number of significant figures. The problem given was 0.000180 x 4.00006. When multiplying these two numbers, we first perform the multiplication as normal:
0.000180 x 4.00006 = 0.0007200108
However, we must then round the result to the correct number of significant figures. The first number has three significant figures (180), and the second number has six significant figures (4.00006), so our final answer should be limited to three significant figures, since that is the smallest number of significant figures of any number in the problem.
Therefore, we round 0.0007200108 to three significant figures, which gives us 0.000720. This is our final answer using the correct number of significant figures.