Final answer:
To round 126.006 to two significant figures, we round up the second figure due to the third significant figure being greater than 5, resulting in the correct answer of 130.
Step-by-step explanation:
When rounding a number to a certain number of significant figures, it's important to identify which digits are significant. In the question at hand, we are asked to round 126.006 to two significant figures. The first two non-zero digits are the most significant digits here.
Therefore, to round 126.006 to two significant figures, we need to look at the third significant figure which is '6' in this case, to decide how to round the second figure, '2'. Since the third significant figure is greater than 5, the second significant figure is rounded up. Thus, 126.006 becomes 130 when rounded to two significant figures.
Examining the answer options, we need to choose the one that represents the number rounded to two significant figures without any unnecessary decimal points or zeros that do not add value to the precision of the number.
The correct option answer in the final answer is: a) 130.