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A summary and reflection of simple calculations in life

2026-09-16 20:54
2026-09-16 23:15

Simple calculations were very important in life. Not only could it improve computational efficiency, but it could also achieve twice the result with half the effort when solving practical problems. The following is a summary and reflection of simple calculations in life: * * 1. Simple calculation method summary ** 1. * * The application of arithmetic laws ** - * * Commutative law and association law of addition **: Commutative law of addition, a + b = b + a, and association law of addition, a + b = a + b + c. For example, when calculating the change for shopping, if there are multiple prices added together, the calculation order can be adjusted according to these two laws. For example, if you buy a product worth 3, 5, or 2 yuan and pay the cashier 10 yuan, you can first calculate the change as 3 + 5 = 3 + 5 = 10 yuan, and the change is 0 yuan. - * * Commutativity, Association, and Assignment ** - Commutative law of multiplication <(a × b) × c = a × (b × c)>It can be used to calculate the total price of the goods in batches. For example, if there are 20 apples in each box, each apple will cost 3 yuan. The total price of buying 5 boxes can be calculated as 20 yuan. - Multiplicational distribution law ((a + b) × c = a × c + b × c) and its variant (a × (b + c)= a × b + a × c). For example, the monthly water and electricity bill of the family is calculated. The water bill is RMB 2 per ton, the electricity bill is RMB 0.5 per kWh, and the monthly water consumption is RMB 10 per ton, and the electricity consumption is RMB 20 per kWh. The total cost is RMB 25. 2. * * Use of special number combinations ** - For example, combinations such as <2> and <5>,<25> and <4>,<125> and <8>. Calculating how many milliliters of water can a cubic container with a volume of 125 cubic centimeters hold (The density of water is 1 g/cm 3, and 1 cubic centimeter is equal to 1 milliliter). The density of water is known to be 1 g/cm 3, and the volume of 125 grams of water is 125 cubic centimeters, which can be calculated according to the formula of 1000 × 0.125 = 125 milliliter. 3. * * Method of extracting common factor **: When there are no identical numbers in the formula, but there is a numerical relationship between the numbers that is 10 or 100 times, the common factor can be extracted after transformation using the principle of product invariable. For example, when calculating the proportion of the family's annual expenditure, if the food expenditure is 3140 yuan, the entertainment expenditure is 720 yuan, the transportation expenditure is 430 yuan, and the total expenditure is 1500 yuan, calculate the sum of the proportion of the expenditure to the total expenditure. It can be converted to [3.14 × 1000 + 7.2 × 100 + 4.3 × 100 - 1500 =(3.14 × 1000 + 3.14 × 200 + 3.14 × 100 - 3.14 × 500)= 3.14 × (1000 + 200 + 100 - 500)], which can simplify the calculation process. 4. * * Borrowing and Returning Method **: If you calculate the value of [99 + 999 + 9999], it can be converted to [(99 + 1)+(999 + 1)+(9999 + 1)-3 = 100 + 1000 + 10000 - 3 = 11100 - 3 = 11097]. This method was relatively simple when calculating the addition of numbers close to the whole ten, hundred, and thousand. 5. * * Splitting Method **: For example, if you calculate <12.5 × 32 × 25>, you can split <32>> into <8 × 4>>, then <12.5 × 32 × 25>=(12.5 × 8) × (4 × 25)= 100 × 100 = 10000>. It might be used to calculate the number of combinations of some items in life, such as calculating the total volume of a cuboid combination of length, width, and height. 6. * * Using a benchmark number **: Find a more balanced number in a set of numbers to represent this series of numbers. For example, to calculate the average length of time a family member watches TV every day in a week, they are respectively 1 hour, 1.5 hours, 2 hours, 0.5 hours, 1.2 hours, 1.8 hours, and 2.2 hours. You can choose 1.5 hours as the reference number, then calculate the difference from the reference number, and then calculate the average difference. Finally, add the reference number to get the average length. 7. * * Substitution Method (Alphabet Substitution Method)**: When calculating a complex formula, letters are used to replace a part of the formula, making the calculation process simple. For example, when calculating some complicated financial income calculations, if the formula was more complicated, a part of it could be represented by letters, simplified, and then substituted into the specific numerical calculation. 8. * * Split Item Elimination Method **: This is commonly used in score calculation. First, the items in the formula are split into the sum or difference of two or more numbers. After splitting, the items can be offset. For example, in calculating the allocation of resources according to the ratio, it might be used if it involved the complex calculation of scores. 9. * * Transformation reduction method **: In the four operations, reduction is a common step. If you can't directly reduce the score, you can change the form by making up the number or splitting the number. For example, when calculating some composition ratio problems, this method might be used to simplify the calculation. * * 2. Reflection on Simple Operations ** 1. * * Teaching and Learning ** - For students, the multiplication distribution law was difficult to learn. There were many variations in its application. In the teaching process, many methods were needed to help students understand. For example, he could use a classification summary, a large number of exercises, and visual expressions to assist in teaching, but even so, students might still be confused when they applied the comprehensive application. This meant that the teaching method still needed to be constantly explored to adapt to the students 'cognitive characteristics. - When learning simple calculations, students might master each method well when they learned it separately, but there would be problems when they applied it together. This required more comprehensive practice to improve the students 'ability to distinguish and apply various simple calculation methods. 2. * * In terms of practical application ** - In daily life, many people might not fully realize the advantages of simple calculations and still use more complicated calculation methods. For example, when calculating the total price of a purchase, change, or calculating the proportion of a family's income and expenditure, if one could skillfully use simple calculations, they could save time and improve efficiency. - The ability to perform simple calculations needed to be constantly cultivated and improved. In some complex life scenarios, such as financial planning, project budget, etc., which involved a large amount of data calculation, simple calculations could reduce calculation errors and improve the accuracy of decisions. Read more exciting novels for free

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