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by soVeryTired 2631 days ago
In general I find mental arithmetic like this easiest if you start from the most significant digits. So you just need to keep track of a running sum and which multiplications you still need to add.

Here's the calculation as I would do it in my head, more or less:

25 * 63 = (20 + 5) * (60 * 3)

= (20 * 60) + (5 * 60) + (3 * 20) + (5 * 3)

= 1200 + (5 * 60) + (3 * 20) + (5 * 3)

= 1500 + (3 * 20) + (5 * 3)

= 1560 + (5 * 3)

= 1575