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How to calculate the multiplication of decimals
The specific algorithm of decimal multiplication is to determine the position of decimal point, align decimal point and calculate by integer multiplication. The details are as follows:

1. Determine the position of decimal point: before decimal multiplication, determine the position of decimal point. Generally speaking, the position of the decimal point is determined according to the number of digits of the smaller of the two numbers. For example, two numbers are 0. 1 and 0.0 1 respectively, so the result of their multiplication should be 0.00 1, because the sum of the two decimal places is 3.

2. Decimal point alignment: During multiplication, the decimal points of two numbers need to be aligned. If the decimal points of two numbers are different, they can be aligned by moving the decimal point. For example, if the first number is 0. 1 and the second number is 0.0 1, you can multiply the first number by 10 to get10, and then multiply the second number by 100 to get 0. 1.

3. Calculation by integer multiplication: After the decimal points are aligned, calculation can be made according to the rules of integer multiplication. Multiply the corresponding digits and add the results to get the final product. For example, if two numbers are 1.2 and 2.3 respectively, then their product is 3.16 (12× 23 = 316).

Related content of multiplication

1, multiplication is a basic operation mode in mathematics, which involves the result of multiplication of two numbers. Multiplication is usually represented by the symbol "×" or ". In multiplication, each number is called a factor and the result is called a product.

2. Multiplication satisfies commutative law and associative law. This means that the result of multiplying any number by another number is the same as that of multiplying the first number by the third number, and the result of multiplying any number by two numbers is the same as that of multiplying the first number by the second number by the third number. For example, (a×b)×c=a×(b×c).

3. Multiplication also satisfies the distribution law, that is, a× (b+c) = a× b+a× c, which means that the sum of one number multiplied by two numbers is equal to the sum of this number multiplied by two numbers respectively. The inverse operation of multiplication is division, which can be regarded as the operation of finding another factor when the product and one factor are known. Division can be represented by the symbol \ u. For example, a÷b=c, which means that a can be divided by the sum of b c.