The dividend is a number divided by another number in the division operation, for example, 24÷8=3, where 24 is the dividend.
In the division formula, the number after the divisor is called the divisor. If 8÷2=4, then 2 is the divisor. Divide the dividend by the divisor, and the result is quotient. For example, 9÷3=3, and 3 is the quotient.
Division of two numbers is also called the ratio of two numbers. If ab=c(b≠0), the operation of finding another factor A by multiplying C and factor B is division, which is written as c÷b and pronounced as C divided by B (or B divided by C). Among them, c is called dividend, b is called divisor, and the result of a operation is called quotient.
Step by step analysis is as follows:
In the standard division expression, the dividend is above the divisor and the quotient is below the dividend. For example, you can write an expression: 64÷8=8. Here, 64 is the dividend, 8 is the divisor and 8 is the quotient. We can see that the quotient is a number, which is obtained by dividing the dividend by the divisor. This process is called division.
In the above example, the quotient obtained by 64÷8 is 8. This process can also be used to calculate percentages, decimals, etc.
An important feature is that any number divided by 0 is undefined.
Because no real number can be divisible by 0. In mathematics, we usually think that this division is undefined, that is to say, for any number x, we all have x÷0 undefined. At the same time, in mathematics, we also stipulate that when any number is divisible by a negative number, the quotient is negative. For example, 5÷(-2)=-2.5. This shows that in mathematics, the result of division of negative numbers is a negative decimal.
We can get quotient and remainder by division.
If we have an integer n greater than or equal to 2, then we can express it in the form of n=kd+r, where k is quotient, r is remainder and d is divisor.
We can express 10 as 1*2+2, where 1 is the quotient, 2 is the remainder and 2 is the divisor. Because in this case, 1 times 2 and then adds 2 to get 10.
Dividend, divisor and quotient are basic concepts in mathematics. A deep understanding of these concepts will help us to better understand mathematical operations and mathematical logic.