1, which can be expressed as: (a×b)÷(c×d)=a÷c×(b÷d), where a, b, c and d are all numbers, and a and c cannot be zero at the same time. This law applies to integer, decimal and fractional operations. This rule can be used to simplify the division operation, for example:100 ÷ 25 =1(100× 4) ÷ (25× 4) = 400 ÷100 = 4.
2. This can avoid tedious manual calculation and improve the calculation efficiency. In addition to the invariable law of quotient, there are also the changing law of product and the relationship between quotient and remainder. These laws can help us simplify calculations and better understand and apply mathematical concepts.
Related knowledge of quotient
1, quotient is a mathematical concept, which is usually used for division. In the division operation, the result obtained by dividing the dividend by the divisor is the quotient. For example, 10 divided by 2 equals 5, and the quotient here is 5.
2. The symbol of quotient is usually represented by the letter Q, but in most cases, we directly use numbers to represent quotient. For example, 10 divided by 2 equals 5, and we can write 10/2=5 or 10÷2=5.
3. The concept of quotient is widely used in mathematics. For example, quotient is an important element in proportion and proportion formula. Proportion refers to the relationship that two ratios are equal, such as A: B = C: D, where A, B, C and D are all numbers, and b/a and d/c are the quotients of these two ratios. Proportional formula is a special proportional relationship, and its form is A: B = C: D, where A, B, C and D are all variables.
In addition, the concept of quotient is also reflected in fractions and decimals. Fraction is a way to express the number of parts. Its numerator is the number of divided parts, and its denominator is the number of total parts. For example, 1/2 is to divide a whole into two parts and take one of them. Fraction can be regarded as an extended form of division, so the quotient of fraction is the result of dividing numerator by denominator.