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Can you have a negative remainder?

Updated: 4/28/2022
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13y ago

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The remainders are negative if the quotient is.

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Q: Can you have a negative remainder?
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Is the remainder of a negative number divided by a positive number negative?

A subtle point is that the remainder is always a positive number. So -7 divided by 3 is -3, remainder 2 (rather than -2, remainder -1). This is important for the date of Easter because we must often calculate the remainder when dividing into a negative number. Since in that case we are not interested in the quotient it is sufficient to calculate the negative remainder and then simply add to it the number we were dividing by. So -11 mod 3 may be calculated as: -11 divided by 3 is -3, remainder -2, so the number required is -2 + 3 = 1.


How big can a remainder be and why?

A remainder can be any non-negative number that is less than the divisor. If the remainder is bigger than the divisor, the divisor can go into it another one (or more) times until the remainder is brought into that range.


Which is not a reasonable remainder when the divisor is 7?

A negative number or any number that is greater than or equal to 7.


What is 32-98subtract?

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How do you solve 70 raised to negative 1 plus 30 raised to negative 1?

For example, 70-1 is the same as 1 / 70+1. Similar for any other negative power. For the remainder of the problem, you simply have to add fractions.


How do you find a negative remainder of a number?

This is a common operation in Number Theory, especially in relation to Euclid's Algorism.If, when dividing two numbers, complete division does not occur then usually the operation stops at a value less than the dividend and the resulting difference is described as the remainder.Example : 88 ÷ 7 = 12 with remainder 4. (12 x 7 = 84)A negative remainder is when the division stops at a value greater than the dividend. Normally this is the value immediately greater than the dividend.Example : 88 ÷ 7 = 13 with remainder -3 (13 x 7 = 91)


What is 544 divided by 8 with remainder?

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Is a remainder of 0 the same as no remainder?

Yes because there is no legit remainder. If you do 4 divided by 2 you get 2 with a 0 remainder or no remainder.


What is 54 divided by 4 and the reminders?

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What is 600 divided by 16?

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What is the remainder when 472 is divided by 5?

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On mathematics What is the answer to 642-643?

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