1. What is checking calculation:
Checking calculation refers to checking and confirming the correctness of calculation results through reverse operation or other related methods. In mathematics, checking calculation is usually to avoid calculation errors or verify the accuracy of the calculation process to ensure the reliability of the results.
2. The common methods of checking calculation:
Reverse operation: for addition and multiplication, the correctness of the calculation can be verified by reverse operation of the results. For example, formula 5+3=8 can be verified by 8-3=5. Check the whole and part: decompose a calculation process into several steps, each step can be verified, and then check the correctness of the whole by combining these verification results.
3. Check calculation in addition and subtraction:
In addition, check the calculation: you can subtract the two addends, compare the calculation results with the addends, and if they are equal, the calculation is correct. For example, formula 3+4=7 can be verified by 7-4=3. Check calculation in subtraction: the difference can be added by the minuend and the minuend. If it is equal to the minuend, the calculation is correct. For example, Formula 8-5=3 can be verified by 3+5=8.
4. Check calculation in multiplication and division method:
Check calculation in multiplication: the result of multiplication can be verified by division. For example, for the formula 3×4= 12, 12÷4 =3 can be used to verify the correctness of the multiplication operation. Verification of division: The result of division can be verified by multiplication. For example, for the formula 12÷4=3, 3×4= 12 can be used to verify the correctness of division.
5. Other commonly used inspection methods:
Estimation method: estimate the calculation result with approximate value, and then compare it with the actual calculation result to judge the accuracy of calculation; Method of substitution sum combination method: for addition and multiplication, the correctness of calculation can be verified by exchanging the order or changing the position of brackets; Using the law of numbers: Reasoning and judging according to the characteristics and laws of numbers to verify the correctness of the calculation results.
6. Why check:
Checking calculation can help us avoid calculation errors and ensure the accuracy of calculation results. Checking can also deepen the understanding of mathematical operation rules and logical reasoning, and cultivate students' mathematical thinking and logical thinking ability. Checking calculation is an important part of mathematics learning, which can help students build confidence and interest in mathematics operation.