This number has a fractional part (.778) and a whole number part (4) The last digit of the latter part is more than 5, and the second digit is less than 9, so we add 1 to the second digit (4.778 + 0.010) and remove the third digit (4.78).
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No, the Monroe Doctrine does not provide U.S. sympathy for the new revolutionary governments in South America. You're thinking of the "Good Neighbor" policy.