Fortune Telling Collection - Free divination - What's wrong with calculating three digits divided by two digits without a remainder?
What's wrong with calculating three digits divided by two digits without a remainder?
The remainder refers to the undivided part of the dividend in integer division, and the range of the remainder is an integer between 0 and divisor, which is a mathematical term. In the division of integers, there are only two situations: divisible and non-divisible. When it is not divisible, a remainder is generated. The remainder operation: a mod b = c(b is not 0) means that the remainder obtained by dividing the integer a by the integer b is c, for example, 7 ÷ 3 = 2 1.
Nature:
The remainder has the following important properties (A, B and C are all natural numbers):
(1) The absolute value of the difference between the remainder and the divisor is less than the absolute value of the divisor (applicable to the real number field).
(2) Dividend = Divider × quotient+remainder.
Divider = (dividend-remainder) ÷ quotient.
Quotient = (dividend-remainder) divider.
Remainder = dividend-divisor × quotient.
(3) If the remainders of A and B divided by C are the same, then the difference between A and B can be divisible by C. For example, if the remainders of 17 and1divided by 3 are 2, then17-1can be divisible by 3.
(4) The sum of A and B divided by the remainder of C (except that A and B divided by C have no remainder) is respectively equal to the sum of the remainder of A and B divided by C (or the remainder of this sum divided by C).
For example, 23, the remainder of 16 divided by 5 is 3 and 1 respectively, so the remainder of (23+ 16) divided by 5 is equal to 3+ 1=4. Note: When the sum of remainders is greater than the divisor, the remainders are equal to the sum of remainders and divided by the remainder of c ... For example, the remainders of 19 divided by 5 are 3 and 4 respectively, so the remainders of (23+ 19) divided by 5 are equal to the remainders of (3+4) divided by 5.
(5) The product of A and B divided by C is equal to the product of A and B divided by C (or the product divided by C). For example, 23, the remainder of 16 divided by 5 is 3 and 1 respectively, so the remainder of (23× 16) divided by 5 is equal to 3× 1=3. Note: when the product of the remainder is greater than the divisor, the remainder is equal to the product of the remainder divided by the remainder of C.
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