High School

Use compensation to add or subtract up to three digits.

Fill in the missing numbers to find [tex]$186 + 85$[/tex].

[tex]$186 + 85 = 186 + 100 - \square$[/tex]

[tex]$186 + 85 =$[/tex] [tex]$\square$[/tex]

Answer :

To solve the problem of adding 186 and 85 using compensation, let's break it down into simple steps:

1. Identify a Round Number for Compensation: We choose a round number that is close to 85, which in this case is 100. The idea is to make the addition easier by using a round number.

2. Adjust by the Difference Between the Numbers: Since we added 100 instead of 85, we need to subtract the difference. The difference between 100 and 85 is 15.

3. Perform the Adjusted Addition:
- Start with the initial number, which is 186.
- Add the compensated number 100. This gives us 186 + 100 = 286.
- Now, subtract the difference (15) that we added extra, so we do 286 - 15 = 271.

By following these steps, the final answer to 186 + 85, using compensation, is 271.