Final answer:
The sum of 22.82 and 2.2457, considering significant figures, is 25.07. We round 2.2457 to 2.25 to match the two decimal places in 22.82 before adding.
Step-by-step explanation:
The question asks for the sum of 22.82 and 2.2457 with consideration of significant figures. To obtain the sum while respecting significant figures, we first align the numbers by their decimal points and then add them:
22.82
+ 2.2457
-------
When adding these numbers, the number with the least number of decimal places dictates the number of decimal places in the answer. This means that since 22.82 has two decimal places, our result should also have two decimal places:
22.82
+ 2.25
------
25.07
We rounded 2.2457 to 2.25 to match the number of decimal places with 22.82. Therefore, the answer, considering significant figures, is 25.07.