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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)

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Q: How do you find a negative remainder of a number?
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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 do you find the remainder?

This means you divide a number and whatever you have left over is your remainder,


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.


Find the smallest number that meets all of these conditions divide the number by 5 remainder 3 divide the number by 8 remainder 2 divide the number by 9 remainder 4?

58


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.


Can you have a negative remainder?

The remainders are negative if the quotient is.


Can you find the cube root of a negative number If so is it positive or negative?

The cube root of a negative number is negative.


How do you find even number?

If it leaves no remainder when divided by 2 then it is an even number.


How do you make a program to check remainder is zero or not inGW-BASIC?

So you have a number - "Number" and you need to find if the remainder of dividing it by a number is 0. Number = 3 If Number Mod 2 = 0 then Msgbox("Remainder of 0") End If This function divides by 2 then gives the remainder, this let's you check if a number is odd or even.


What does find the factor of a number mean?

List the integers that will divide into the number evenly with no remainder.


How do you find range of a negative number?

The range of a negative number is the infinite interval, x < 0.


How do you find out if a number is divisible by something?

Do the division and if the remainder is 0 then the number is divisible by the something and if not it isn't.