1, the rational number division rule can be expressed in letters: dividing by a non-zero number is equal to multiplying the reciprocal of this number. That is, if A is not equal to zero, then dividing a(a is not zero) is equal to multiplying the reciprocal of A, which is expressed by a mathematical formula: A ÷ A = A- 1.
2. The basis of this rule lies in the multiplication and division of rational numbers. In the range of rational numbers, division can be regarded as the inverse operation of multiplication, that is, dividing by a number is equal to multiplying the reciprocal of this number. This law applies to any rational number A (not equal to zero).
3. In practical application, this law can help us simplify the division of rational numbers, especially when dealing with some complicated mathematical expressions. At the same time, this law is also the basis of algebraic operation in mathematics, which is of great significance for learning mathematics and solving mathematical problems.
Related knowledge of rational numbers
1, rational number is a basic concept in mathematics, including all numbers that can be expressed as finite decimals or infinite cyclic decimals. Mathematically, rational number is defined as a number that can be expressed as the ratio of two integers, that is, a/b number, where a and b are both integers and b is not equal to 0.
2. Rational numbers can be divided into positive rational numbers, negative rational numbers and zero. Positive rational numbers include all rational numbers greater than 0, such as1/2,2,3.14, etc. Negative rational numbers include all rational numbers less than 0, such as-1/2, -2, -3. 14, etc. Zero is a special value in rational number, which is neither positive nor negative.
3. The operation of rational numbers includes addition, subtraction, multiplication and division. Addition and subtraction can be attributed to addition and subtraction, and multiplication and division can be attributed to multiplication and division. Addition and multiplication satisfy commutative law and associative law. Subtraction and division do not satisfy the commutative law and associative law.
4. Zero is the unit of addition, and any number plus zero equals itself; Zero is the unit of multiplication, and any number multiplied by zero equals zero. The addition and multiplication of rational numbers satisfy the distribution law C. The subtraction and division of rational numbers do not satisfy the distribution law. Rational numbers are widely used in daily life, such as the degree on a thermometer and the latitude and longitude on a map.