We can use a simple method to calculate 85×82+82× 15. First, observing the formula, we can find that 82 is a common factor. So the common factor can be used to extract 82: 82× (85+15) = 820082× (85+15) = 8200. So the simple calculation result of 85×82+82× 15 is 8200.
Learn the function of simple algorithm.
1. Learning simple algorithms plays a wide role in our daily life and work. Simple algorithm can make us get the answer faster and improve our calculation efficiency.
2. When dealing with a large number of data or complicated calculations, simple algorithms can make us get accurate results in a short time, avoiding tedious manual calculations or using tools such as calculators. For example, for the formula 85×82+82× 15, we can get the answer 8200 quickly by extracting the common factor 82 and simplifying the calculation process.
3. Simple algorithms can help us understand mathematical principles and concepts. Many simple algorithms are based on mathematical theorems and formulas. By studying and mastering these theorems and formulas, we can understand the essence and thought of mathematics more deeply. For example, the square difference formula (A+B) (A-B) = A 2-B 2 can help us calculate the square difference of two numbers quickly.
4. Simple algorithms can cultivate our mathematical thinking and logical reasoning ability. In the process of learning and mastering simple algorithms, it is necessary to analyze, summarize and reason the formulas, find the rules and make calculation steps. These processes can exercise our logical thinking and innovative ability, and make us better at finding, analyzing and solving problems.
Simple algorithms can also help us remember and apply mathematical knowledge. Many simple algorithms are based on mathematical formulas and theorems. By remembering these formulas and theorems, we can calculate and apply them quickly. For example, the complete square formula and square variance formula in junior high school mathematics, remember these formulas, understand their derivation process, and you can quickly decompose the factors.