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"That leaves a remainder of $14 per share," he said.
If there is a remainder, name it with the divisor.
That way I'm not reminded it's a remainder.
If you come up with a remainder, divide again by a slightly smaller number.
Those having a remainder of 1 are sums of two squares (in a unique way), and those having a remainder of 3 are not.
The balance of 423 copies was later turned over to a remainder house.
(In most cases, of course, there is a remainder that is less than the divisor).
For example, 5 has a remainder of 1 and is equal to 1 squared + 2 squared but 7 which has a remainder of 3 is not a sum of two squares.
The result, 2x2 − x − 3 with a remainder of 2, can be readily checked by long division:.
That equaled total spending by category of $2,460, with a remainder of $9,540 in general spending.
As one example, he asked for a whole number that when divided by 3 leaves a remainder of 2, when divided by 5 leaves a remainder of 3, and when divided by 7 leaves a remainder of 2 (his answer: 23).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com