Final answer:
The question is about using mathematical functions in SQL, specifically the round function, which is used to round a number to the specified number of decimal places, demonstrating several examples of how numbers are rounded.
Step-by-step explanation:
The question pertains to the correct usage of mathematical functions in SQL, specifically when using them in SELECT or WHERE clauses. The mathematical functions given mod(a, b), round(n, d), trunc(n, d), ceil(n), floor(n), and abs(n) have different purposes. The discussion provided is about the round function, which is used to round a number to a specified number of decimal places (dp). This is how rounding may occur in various scenarios:
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- (a) 31.57 rounds "up" to 32 (the dropped digit is 5, and the retained digit is even)
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- (b) 8.1649 rounds "down" to 8.16 (the dropped digit, 4, is less than 5)
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- (c) 0.051065 rounds "down" to 0.05106 (the dropped digit is 5, and the retained digit is even)
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- (d) 0.90275 rounds "up" to 0.9028 (the dropped digit is 5, and the retained digit is even)
Note that when the digit immediately following the last retained digit is 5, the retained digit is rounded up only if it is odd, making the result even – which is known as "round half to even" or "bankers' rounding."