Answer :

Sure! Let's solve the problem step-by-step by estimating the sum by rounding each number to the nearest thousand and then adding them together.

1. Round Each Number to the Nearest Thousand:

- The first number is 3125. When rounding to the nearest thousand, we look at the hundreds digit, which is 1. Since 1 is less than 5, we round down. So, 3125 rounds to 3000.

- The second number is 3897. Look at the hundreds digit, which is 8. Since 8 is 5 or more, we round up. Thus, 3897 rounds to 4000.

- The third number is 5789. Check the hundreds digit, which is 7. Since 7 is 5 or more, we round up. Therefore, 5789 rounds to 6000.

2. Add the Rounded Numbers:

- Now that we have our rounded numbers, we simply add them together:
[tex]\[
3000 + 4000 + 6000 = 13000
\][/tex]

So, the estimated sum of 3125, 3897, and 5789, when each is rounded to the nearest thousand, is 13,000.

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