Final answer:
When comparing the decimal numbers 0.6 and 0.06, 0.6 is the larger number since it has a 6 in the tenths place, compared to 0.06 which only has a nonzero digit in the hundredths place. Therefore, the comparison is 0.6 > 0.06, and the correct answer option is 'a'.
Step-by-step explanation:
The question involves comparing two decimal numbers, 0.6 and 0.06. To compare these numbers, we need to look at the value in each decimal place. Starting with the tenths place, 0.6 has a 6, while 0.06 has a 0, making 0.6 the larger number. Therefore, when comparing the two numbers 0.6 is greater than 0.06, so using the symbols, we write 0.6 > 0.06. As a result, the correct option is 'a' where a is representing 0.6 and b is representing 0.06.
For clarity, the number 0.6 has a nonzero digit in the tenths place, while the number 0.06 does not have a nonzero digit until the hundredths place, indicating that 0.6 is ten times larger than 0.06. This is a basic concept in understanding place value and the magnitude of decimal numbers.
The final answer is that 0.6 is greater than 0.06, so the correct comparison is 0.6 > 0.06. This corresponds with option 'a' in the question's list of comparisons.