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First, round the numbers 5,116 and 7,519 to the nearest hundred. Then, use these rounded numbers to estimate the sum:

[tex]\[ 5,116 + 7,519. \][/tex]

Answer :

To estimate the sum of 5116 and 7519 by rounding to the nearest hundred, follow these steps:

1. Round 5116 to the nearest hundred:
- Look at the tens digit, which is 1 (in the number 5116).
- Since 1 is less than 5, we round down. Therefore, 5116 rounds to 5100.

2. Round 7519 to the nearest hundred:
- Look at the tens digit, which is 1 (in the number 7519).
- Since 1 is also less than 5, we round down. Therefore, 7519 rounds to 7500.

3. Estimate the sum using the rounded numbers:
- Add the rounded numbers: 5100 + 7500 = 12600.

So, the estimated sum of 5116 and 7519, when both numbers are rounded to the nearest hundred, is 12600.

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