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1. When Xiao Hong calculates a question, she gets two decimal places, but she loses the decimal point when writing. The new number is 183.15 more than the correct one. What is the original number? 2. If a fraction is added with one of its fractional units, the sum is 1, and if a fractional unit is subtracted, the difference is 7 / 8. What is the original fraction? 3. Insert a digit in 0-9 between the ten and the single digits of two natural numbers, and the two digits become three digits. The three digits after inserting a digit in the middle of some two digits are 9 times of the original two digits. There are () such two digits 4. If the natural number x satisfies the formula 1 / 4 ＜ 5 / X ＜ 1 / 3, then x can get () natural numbers When ABC is written as the simplest fraction, the sum of numerator and denominator is 442 6. Fill in the number according to the rule: 1 / 3, 1 / 2, 5 / 9, 7 / 12, 3 / 5, 11 / 18 The 11th number is () 7.1000 minus 1 / 2 of it, then minus the remaining 1 / 3, then minus the remaining 1 / 4 Finally, subtract the remaining 1 / 1000, what is the final remaining number?
1. The original number is 1.852.15/163. Four, 15-135, 25-225, 35-315, 45-4054. Four, 16, 17, 18195.0.259259 ,91/3516.21/33,2n-1/3n7,11000-1/2*1000-1/3*(1000-1/2*1000)-1/4[1000-1/2*1000-1/3*(1000-1/2*1000)]-…… -1/1000*…… =...
Interesting stories in the life of famous Chinese mathematicians
Four, please! Urgent! Urgent! Urgent! Urgent!
After the beginning of the cultural revolution, Hua Luogeng, who was promoting the "double law" in other places, was recalled to Beijing by urgent telegram for examination and criticism. Premier Zhou Enlai instructed: "the overall planning method still needs to be carried out."
Math story (20 words)
The shorter the better!
When Gauss was in primary school, once after the teacher taught addition, because the teacher wanted to have a rest, he gave a question for the students to calculate. The question was: 1 + 2 + 3 +. + 97 + 98 + 99 + 100 =? The teacher thought, now the children must count until the end of the class! When he was about to go out, he was stopped by Gauss
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- 8. A math problem. What's the rate of kilogram and ton? A conical coal pile, which covers an area of 15 square meters, is 1.2 meters high, and weighs 1.6 tons per cubic meter of coal. How many times can it be transported by 800 kg truck?
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- 11. To make it clear, we didn't learn the quadratic equation. The average number of numbers 1, a, B and C is 270. A is 18 larger than B, and B is 75 smaller than C. what are the numbers a, B and C? 2. "Little careless" Wang Qun made a mistake when he added two numbers together to make a subtraction. The result is 17.2, 15.6 less than the correct answer. What are the two addends? What is the correct answer? The answer to the first question is a257, B is 239, C is 314 The two numbers are 25 and 7.8
- 12. 1、 A cylindrical iron bucket, measuring from the inside the bucket depth of 5 decimeters, the bottom diameter is 4 decimeters, how many kilograms of water can this bucket hold? 2、 How many cubic meters of rice can a cylindrical grain bin hold? 3、 The diameter of the bottom surface of a cylindrical wood is 12 cm. What is the volume of this wood cubic cm?
- 13. Find the answer to a math problem Title: The tortoise and the rabbit race 10000 meters. The speed of the rabbit is five times that of the tortoise. When they start from the starting point, the tortoise keeps running. The rabbit runs to a certain place and begins to sleep. When the rabbit wakes up, the tortoise is 5000 meters ahead of it. The rabbit catches up. But when the tortoise reaches the end, the rabbit is still 100 meters behind. How many meters did the tortoise run during the sleeping period?
- 14. Given the complex number Z1 = cosx + I, Z2 = SiNx + I, find the maximum direct number of Z1 + Z2 and | Z1 + Z2 |?
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- 17. It is known that there are four balls with the same shape, size and material in an opaque pocket, including one red ball and three yellow balls. (1) take a ball randomly from the pocket (do not put it back), and then take out another ball. Please use the tree chart or list method to calculate the probability that the two balls are yellow balls; (2) Xiao Ming puts red balls and yellow balls into the pocket again After a period of time, he can't remember the number of red balls and yellow balls. He only remembers that the number of one kind of ball is 1 more than that of the other, and the probability of taking a yellow ball out of his pocket is 23. How many red balls and yellow balls did Xiao Ming put into his pocket?
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