mattsu wrote:
nick13 wrote:
If n is a negative integer and q is a positive integer, then there is only one negative integer m such that n= mq +r, where 0 ≤ r ≤ q. The Integer r is called the remainder when n is divided by q. What is remainder when -100 is divided by30?
A. -20
B. -10
C. 0
D. 10
E.20
A. -20
B. -10
C. 0
D. 10
E.20
I do not get it. If I divide -100 by 30, it divides 3 times and gives me the reminder -10, doesn'tit?
dividend = the integer being divided
divisor = the integer being divided into the dividend
quotient = the result after division
remainder = the portion of the dividend that REMAINS after division
Putting it all together:
dividend =(divisor)(quotient) + remainder
When the division of two integers yields a REMAINDER, the reason is that the product in blue is less than than the dividend, so part of the dividend REMAINS.
In the case at hand:
-100 = dividend
30 =divisor
Thus:
-100 =(30)(quotient) + R
Here, a quotient of -3 will make the product in blue GREATER than the dividend in red, so it would be
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Statistics : Posted by GMATGuruNY • on 22 Oct 2023, 16:10 • Replies 5 • Views 2666
