Final answer:
Joe's answer is false; adding the numbers 5,723 and 2,399 correctly results in a total of 8,122, not 8,124. Joe might have made a mistake in his compensation method.
Step-by-step explanation:
Joe's answer of 8,124 to the addition problem of 5,723 and 2,399 is false. To check if Joe's compensation method for addition gave the correct result, we can add the numbers ourselves:
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- Add the ones place: 3 + 9 = 12, carry over 1.
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- Add the tens place with the carried over 1: 2 + 9 + 1 = 12, carry over 1.
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- Add the hundreds place with the carried over 1: 7 + 3 + 1 = 11, carry over 1.
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- Add the thousands place with the carried over 1: 5 + 2 + 1 = 8.
The correct sum is
8,122
, not 8,124. Therefore, Joe's use of compensation to add may have included a mistake, resulting in an incorrect answer.