As we all know, addition, subtraction, multiplication and division is the most basic operation method in mathematics, but addition is divided into division and division, and adding a word is completely different. What's the difference between mathematical division and division? The following is the relevant content I have compiled. Let's have a look.

The difference between mathematical division and division 1 the difference between division and division in mathematical division: different operation results have different meanings.

First, the operation results are different.

1, Division: Divider precedes divisor, and dividend follows divisor. For example, if you divide 6 by 3, the result of writing 6÷3 equals 2.

2. Division: the dividend is in front of the division symbol, and the divisor is behind the division symbol. For example, if you divide 3 by 6, the result of writing 3÷6 is equal to 0.5.

Second, the meaning of expression is different.

1, divided by: 8 divided by 4, indicating that there are several 8' s in 4.

2. Divide by: 8 divided by 4 means that there are several 4s in 8.

Nature:

The dividend is enlarged (reduced) by n times, and the quotient is correspondingly enlarged (reduced) by n times under the condition that the divisor is unchanged.

The divisor is expanded (reduced) by n times, while the dividend is unchanged, and the quotient is correspondingly reduced (expanded) by n times.

Dividing by two divisors in succession is equal to dividing by the product of these two divisors. Sometimes simple operations can be performed according to the nature of the division. For example, 300÷25÷4=300÷(25×4) divided by a number is equal to the reciprocal of this number.

If the quotient of divisor must be an integer, and the divisor and dividend are not factors, there will be a difference, and the difference (D below) is the remainder.

The difference between division and division in mathematics 2 What is the difference between "division" and "division" in primary school mathematics? What is the significance of this difference?

China primary school mathematics should distinguish division from division, not only because China's language is profound, but also because the editors of the original primary school mathematics textbooks all prefer Chinese, or because Chinese teachers have changed careers. Is it so complicated to show your high level, or is it difficult for children?

In fact, in modern primary school mathematics textbooks, the difficulty has been reduced, and the problem of "choosing words" has gradually faded. Multiplication, for example, no longer emphasizes the difference between multiplier and multiplicand, and is called multiplier directly. Division is not like this. No matter how the textbook is revised, the distinction between dividend and divisor cannot be confused. But the difference between division and division, whether it is an example or an exercise, has begun to be avoided.

Here mainly involves the usage of ancient classical Chinese. "Divide" means that the divisor comes first and the dividend comes last; For example, dividing 2 by 6 means dividing 6 by 2. "Divide by" means that the dividend comes first and the divisor comes last; For example, 6 divided by 2 means 6 divided by 2. Different statements, the same meaning, the same result. It is precisely because of the usage and inheritance of classical Chinese that this troublesome distinction is made.

With the continuous progress of modern civilization and closer integration with the world, this troublesome language inheritance has been gradually erased. Simple and direct, which is the dividend and which is the divisor, isn't the problem clear at a glance? There's no need to make it so complicated. Besides, it is only a language game, which has nothing to do with mathematical operation, and will only increase the difficulty of teaching and learning. It is really unnecessary and unreasonable.

Pupils are much happier now. When learning mathematics, there is no longer the entanglement of "separation and integration". The new edition of primary school mathematics textbooks has completely stopped mentioning and examining this obscure knowledge point; It is completely set according to the internationally accepted rule of "dividend = quotient … remainder", which is simple, clear, easy to learn and practical!