Discussion

What is the smallest number that must be added to 1057 to make it exactly divisible by 23 ?

Answer: A

Correct answer: 1

\[1057 = 23 \times 45 + 22\]

The remainder is 22, so the next multiple of 23 is one step away.

\[23 - 22 = 1, \qquad 1057 + 1 = 1058 = 23 \times 46\]

Note the contrast with subtraction, where the remainder itself is removed.

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