Add, then estimate to see if your answer is reasonable. 186.79 + 7.548 186.79+7.548

In this problem we are asked to add and then estimate to see if our answer is reasonable, so we have 186.79 and we're adding that to 7.548. Now the first thing I should do is try to get these decimals lined up so I can see 7.548 needs to be written like this in order to properly align the decimal points. Now what I can do is add these and insert zeros wherever I see necessary, and this is just going to make sure everything stays aligned. So now that I've inserted the zeros, I can just add from right to left. We have 8 plus 0, which is 8. We have 9 + 4, which is 13, so we have the 3 and then carry the 1. Now we have 5 plus 7, which is 12, plus 1, which is 13, so we have the 3, then we carry the 1 again. Then we have 7 plus 6, which is 13, plus 1 that gives us 14. Then we have 1 + 8, which is 9, and then we have 1 + 0, which is 1, and then we can bring down the decimal point, giving us our answer of 194.338. Now from here what we need to do is estimate to see if our result is reasonable. So we have 186.79, and I'm going to round this to the whole number of 187. I'm rounding it up to 187 since the 7 is greater than or equal to 5, and then we Have 7.548, which will round up to 8. I'm rounding this up because again, the 5 is equal to 5. If it's equal or greater than 5, then it rounds up. So we get 187 plus 8, which is equal to 195, and I can see that 195 is close to the result 194.338. Therefore, our answer is reasonable, and we can now see that this is indeed the correct solution to the problem.