Question

The number 5,_00 is missing a digit. The number rounded to the nearest thousand is 5,000. List all of the possibilities for the missing digit. Explain your answer.

Solution

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The thousands place is 5 which will round up to 5 when the number on its right is less than 5 so the possible missing digits are:

1,2,3,4\color{#c34632}1,2,3,4

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