Valid digits refer to all digits from the first non-zero digit to the end. For example, if we multiply two numbers, one number is 3.2 and the other number is 5.678, then according to the principle of preserving significant digits in multiplication, the result should retain two significant digits, because 3.2 has two significant digits (3 and 2) and 5.678 has two significant digits (5 and 6).
According to the principle of keeping significant digits in multiplication, attention should be paid to keeping significant digits in multiplication to ensure the accuracy and rationality of the results.
The function of the principle of preserving significant digits in multiplication;
1. precision control: the principle of preserving the effective digits of multiplication ensures the accuracy of the operation results. By keeping the significant digits consistent with the least significant digits of the original data, unnecessary rounding or truncation of the results can be avoided, thus reducing the accumulation of calculation errors.
2. Rationality judgment: The principle of preserving the significant digits of multiplication makes the calculation result more reasonable and credible. According to the least significant digit in the original data, the accuracy of the result can be ensured to match the accuracy of the original data, which avoids the situation that there are too many or too few significant digits and makes the result more reliable.
3. Information transmission: The principle of significant digit multiplication can help to accurately transmit the information of significant digits. In scientific research, engineering design and other fields, it is very important to accurately transmit and record the effective figures of data. Following the principle of preserving the significant digits of multiplication can ensure that the significant digits of data are preserved in the calculation process, thus maintaining the accuracy and comparability of data.
The principle of keeping significant digits of multiplication plays an important role in mathematics and scientific calculation, which can ensure the accuracy and rationality of operation results and ensure the transmission and maintenance of effective digital information.