1 and division in detail
Division is one of the four operations, which is mainly the process of finding another factor by knowing the product of two factors and one of them. In division, the dividend is divided by the divisor to get the quotient. Division can be applied to various mathematical problems, such as calculating the ratio of two numbers, solving equations and calculating compound interest. The operation symbol of division is \, which is pronounced "divide".
Division has the following basic concepts: dividend, divisor, quotient and remainder. Among them, the dividend is a number divided by another number, the divisor is a number used to divide the dividend, the quotient is the result of the division of two numbers, and the remainder is the remainder when it cannot be divided completely in division.
2, the algorithm of division
There are some basic laws of division, such as the reciprocal relationship of multiplication and division, that is, dividing one number by another is equal to multiplying this number by the reciprocal of another number. In addition, division has a distribution law, that is, the sum of one number divided by two numbers is equal to the sum of this number divided by these two numbers respectively.
At the same time, division also satisfies the associative law, that is, (a/b)/c=a/(b×c) for any three numbers. These laws provide convenience for the division operation and enable people to calculate more quickly.
Separable and inseparable
1, divisible
Divisibility refers to dividing an integer by another integer that is not zero, and the quotient obtained is an integer without remainder. Divisibility mainly occurs in the integer range, that is, dividend, divisor and quotient are integers. For example, 12 can be divisible by 4, because 12÷4=3, and the quotient is an integer with no remainder.
In mathematics, divisibility has many properties, such as reflexivity, symmetry and transitivity, which are all important characteristics of divisibility.
2. inseparable
Irredivisibility, relative to divisibility, refers to the situation that there is a remainder in the division process, that is, it cannot be divided. Indispensability can occur between an integer and a fraction, or between two fractions. For example, 9 divided by 3 equals 3, but 9 divided by 4 equals 2 plus 1, which is an inseparable case. In the case of inseparability, quotient can be decimal or fractional.
In practice, separability and inseparability often appear alternately, and they both play an important role in solving practical problems.