Answer :

To analyze whether the statement "[tex]$0.51 + 6.1 = 6.61$[/tex]" is true, let's break down the steps to verify the result.

1. Add the numbers: Start by adding [tex]\(0.51\)[/tex] and [tex]\(6.1\)[/tex].
[tex]\[ 0.51 + 6.1 = 6.61 \][/tex]

2. Precision and rounding: Here, both numbers are precise up to the hundredth place. When dealing with such precision, you must consider rounding the final result to the nearest hundredth.

3. Comparing the calculated result: After calculating the sum, we get [tex]\(6.61\)[/tex]. This is already in the hundredth place, so no further rounding is necessary.

4. Comparison: Finally, compare the calculated sum with the given sum [tex]\(6.61\)[/tex].
[tex]\[ 6.61 = 6.61 \][/tex]

Since both the calculated sum and the given sum match, it confirms that the statement "[tex]$0.51 + 6.1 = 6.61$[/tex]" is true.

Therefore, the correct answer is:
A. True