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Specify a kind of operation: a * b = (a + 5 / 2) × (B-3 / 4) △ B, try to calculate 1 / 2 * 5 / 4
If * priority is greater than / then: first calculate 2 * 5 as (2 + 5 / 2) times (5-3 / 4) = 19.125, and then calculate 1 / 19.125/4 = 0.0130718954 in sequence
If * priority is less than / then: first calculate 1 / 2 = 0.5, 5 / 4 = 1.25, and then substitute the numerical value
If the priority is the same, then 1 / 2 = 0.5 will be calculated in order, and then 0.5 and 5 will be substituted to get 12.75, and then divided by 4 to get 3.1875
RELATED INFORMATIONS
- 1. 1 / 2 = 1-1 / 2, 1 / 6 = 1 / 2-1 / 3, 1 / 12 = 1 / 3-1 / 4
- 2. 1 / 2 = 1-2 / 1, 1 / 6 = 1 / 2-3 / 1, 1 / 12 = 1 / 3-4 / 1... According to the above rules, calculate the following question: 1 / 2 + 1 / 6 +1 in 12 + 1 in 20 + 1 in 30
- 3. 1 / 2 = 1-1 / 2, 1 / 6 = 1 / 2-1 / 3, 1 / 12 = 1 / 3-1 / 4. According to the above rule, calculate the following questions: 1 / 2 + 1 / 6 + 1 / 12 + 1 / 20 + 1 / 30
- 4. It is known that 5 / 6 = 1 / 2 + 1 / 3, 7 / 12 = 1 / 3 + 1 / 4, 9 / 20 = + 1 / 4 + 1 / 5 1 + 2 1-6 5 + 12 7-20 9 + 30 11-42 13 Let's say what we mean! (yes, there is a reward)
- 5. A formula for finding the fraction of one number to another The machinery factory produced a batch of machines, 20 in the first day, and 25% more in the second day than in the first day. The number of machines produced in the two days is exactly the same as that of this batch of machines 37.5%. How many machines are there in this batch?
- 6. 6 is a fraction of 3
- 7. If the height of a cone does not change and the radius of its bottom increases by one third, how much does the volume increase? Don't be wrong,
- 8. Fill in 1 / 2, 1 / 3, 1 / 6 in each formula to make the equation hold. (fraction + fraction) / fraction = 1
- 9. First press 3:1 to enlarge, then press 1:2 to reduce. What's the current area? What's the formula First press 3:1 to enlarge, then press 1:2 to reduce. What is the area now? What's the formula
- 10. 1.25 times 0.8 times 4 times 2.5 (simple formula)
- 11. When a = 2 and B = 3, calculate the values of (a + b) 2 - (a-b) 2 and 4AB respectively, and find out what law (expressed by the formula containing a and b)
- 12. S = 1 + 2 ^ - 1 + 2 ^ - 2 + 2 ^ - 3 + +2 ^ - 2010, please calculate the formula on the right to get the value of S, (hint: multiply by 2 on both sides of the equation) do you see the law?
- 13. Observe the following formula: 1 ^ 2 + (1 * 2) ^ 2 + 2 ^ 2 = (1 * 2 + 1) ^ 2 ^ 2 + (2 * 3) ^ 2 + 3 ^ 2 = (3 * 2 + 1) ^ 2 ^ 2 + (3 * 4) ^ 2 + 4 ^ 2 = (3 * 4 + 1) ^ 2 Observe the following rules 1^2+(1*2)^2+2^2=(1*2+1)^2 2^2+(2*3)^2+3^2=(3*2+1)^2 3^2+(3*4)^2+4^2=(3*4+1)^2 ① Write the 2011 formula ② Write the formula on line N and prove your conclusion
- 14. The following deformation rules are observed 1／(1*2)=1-1/2; 1/(2*3)=1/2-1/3; 1/(3*4)=1/3-1/4;…… . sum: 1 / (1 * 2) + 1 / (2 * 3) + 1 / (3 * 4) + ..+1/（2009*2010）
- 15. Observe the deformation law of the following equation: 2 / (1 × 3) = 1 - (1 / 3), 2 / (2 × 4) = 1 / 2-1 / 4, 2 / 3 × 5 = 1 / 3-1 / 5,... Please answer the following questions; (1) If n is a positive integer, guess 2 / N (n + 2)= (1) Explain the reason for the conjecture (3) Sum: 1 / 1 × 3 + 1 / 2 × 4 + 1 / 3 × 5 +... + 1 / 49 × 51
- 16. Observe the following deformation law: 1 / (1 × 2) = 1-1 / 2; 1 / (2 × 3) = 1 / 2-1 / 3; 1 / (3 × 4) = 1 / 3-1 / 4 seek 1/(1×2)+1/(2×3)+1/(3×4）+…… +1/(2011×2012)·
- 17. The beginning of a composition about mathematics
- 18. How to write a math composition?
- 19. All the answers to the Yangtze River exercise book
- 20. Simple equation in mathematics book published by people's Education Press ·Is the horizontal line of (2) in example 4 6 A or 6 × a I asked for leave to study this