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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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How do you find the remainder?
This means you divide a number and whatever you have left over is your remainder,
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.
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.
When you divide a certain number by 13 the quotient is -18 and the remainder is 7 find the number?
-227
How do you find the square root of a negative number ie sqrt of 0.6?
There is no need to find the square root of a negative number for sqrt(0.6)!
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.
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
Can you have a negative remainder?
The remainders are negative if the quotient is.
How do you find even number?
If it leaves no remainder when divided by 2 then it is an even number.
On mathematics What is the answer to 642-643?
1285
How would you find the square root of negative 1?
One cannot find the square root of a negative number.
How do you find number is even or odd?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2.
What is 71 over 8 as a mixed number?
To find the mixed number you need to first divide to find the quotient and remainder. So 71 over 8 has a quotient of 8 and remainder 7. So the general way of writing a mixed number is dividend over divisor = quotient (remainder over divisor) dividend/divisor = quotient remainder/divisor) So 71 over 8 = 8 7/8.
What is when a number divides into another number with no remainder?
Divisibility is when a number divides into another number with no remainder.
What is the number that when divided by 9 the quotient is 6 and the remainder is 7?
To find the number, multiply the divisor and quotient, then add the remainder. 9 (divisor) times 6 is 54. 54 plus 7 is 61. The number is 61.
The sum of 5 and a number is three find the number?
Negative two (-2).
The sum of half a number and that number's reciprocal is the same as 51 divided by the number The number is negative Find the number?
-10
