The following are examples of 20 calculation questions that may be involved in the first volume of the fourth grade of primary school (vertical, off-form, simple calculation): ** 1. Horizontal calculation (10 lines, example of dividing a three-digit number by a two-digit number)** 1. $324÷12 =$ 2. $456÷18 =$ 3. $567÷21 =$ 4. $298÷13 =$ 5. $345÷15 =$ 6. $490÷25 =$ 7. $512÷16 =$ 8. $630÷21 =$ 9. $728÷28 =$ 10. $840÷35 =$ ** 2. Free Form Calculation (5)** 1. $25×(34 + 16) - 120$ - First calculate the number in the parenthesis: $34+16 = 50$, then multiply: $25×50 = 1250$, and finally subtract: $1250 - 120 = 1130$. 2. $128 + 72÷8×5$ - Divide: $72 div8 = 9$, multiply: $9×5 = 45$, and add: $128+45 = 173$. 3. $(45 - 18)×(32 + 16)$ - First calculate the numbers in the parenthesis: $45 - 18 = 27$,$32+16 = 48$, then multiply: $27×48 = 1296$. 4. $360÷(72÷8)$ - First, he calculated the number in the parenthesis: $72 div8 = 9$, then he calculated the division: $360 div9 = 40$. 5. $158 - (64 + 36÷9)$ - First, he calculated the division in the parenthesis: $36 div9 = 4$. Then, he calculated the addition in the parenthesis: $64 + 4 = 68$. Finally, he calculated the deduction: $158 - 68 = 90$. ** 3. Simple calculation (5)** 1. $25×36$ - It could be converted to: $25×4×9 = 100×9 = 900$. 2. $125×88$ - It was converted to $125×8×11 = 1000×11 = 11000$. 3. $45×99$ - It is written as: $45×(100 - 1)=45×100 - 45×1 = 4500 - 45 = 4455$. 4. $36×102$ - It became: $36×(100 + 2)=36×100 + 36×2 = 3600 + 72 = 3672$. 5. $23×18 + 77×18$ - Using the multiplication distribution law: $(23 + 77)×18 = 100×18 = 1800$. Read more exciting novels for free
A rhetorical question is a type of question that asks without question. The purpose is to attract the attention of the reader or listener and guide them to think. It is usually in the form of a self-answer. For example," Is math difficult? It's actually not difficult." "What is self-discipline? Self-discipline is to control your own behavior." "Who is this person? Her name is Xiao Ying." A rhetorical question was a question to express a certain point of view. On the surface, it was a question, but in fact, it expressed a certain meaning. The answer was in the question, and it was a question without an answer. Like,"Shouldn't we study hard?" "How can you destroy the environment?" "You're far away from home. Don't you miss your hometown?" <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
1. A car traveled 180 kilometers in three hours. At this speed, how many kilometers could it travel in five hours? 2. The school purchased stationery at two yuan per pencil and five yuan per notebook. How much did he spend on 10 pens and 8 notebooks? 3. A rectangular flower bed was 12 meters long and 8 meters wide. How many meters was the circumference of this flower bed? 4. Xiao Ming had 120 candies. He wanted to distribute them equally among 30 children. How many candies could each child get? 5. There were 50 apple trees in the orchard. The number of pear trees was three times that of the apple trees. How many pear trees were there? 6. The worker uncle wants to build a 500-meter-long road. He has already built 200 meters. The rest needs to be completed in 5 days. How many meters do you need to build on average every day? 7. A barrel of oil weighed 100kg, and 40kg was used. The remaining oil was stored in 5 bottles. How many kilograms was stored in each bottle? 8. There were 300 chickens in the farm, and the number of ducks was 50 fewer than the chickens. How many ducks were there? 9. An engineering team could repair 80 meters of road every day. How many days would it take to repair a 640-meter-long road? 10. A book had a total of 240 pages. Xiaoming read 15 pages a day. After reading for 10 days, how many pages were left? <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following are some of the key math questions and answer types in the first volume of the fourth grade: ** I. Type of application questions ** 1. ** Problem on operational relationships ** - [Question: Xiao Ming has 25 candies. Xiao Hong has 3 times more candies than Xiao Ming. How many candies does Xiao Hong have?] - [Answer: First calculate the number of Little Red's candies by three times, which is 25×3 = 75 candies. Adding the extra 5 candies, 75+5 = 80 candies, so Little Red has 80 candies.] 2. ** About how to convert units in application questions ** - [Question: The capacity of a water tank is 500 liters, and 5000 milliliters of water can be used every day. How many days can this water be used?] - Answer: First, convert the units. Since 1 liter = 1000 milliliters, 500 liters = 500×1000 = 500000 milliliters. Divide the total amount of water by the daily water consumption. 500,000/5,000 = 100 days. ** 2. Type of fill-in-the-blank question ** 1. ** Digital related ** - Title: The million digits of a number are 7, the ten thousand digits are 3, the thousand digits are 9, and the remaining digits are 0. This number is written as (). - Answer: 7039000. 2. ** Calculating rules ** - [Question: According to the distribution law of multiplication, 25×(40 + 4)=25×40+() ×4.] - Answer: 25. ** 3. The key questions and error-prone questions in the calculation questions ** 1. ** Four Mixed Operations ** - Title: 360 × (72 - 6×12) - Answer: First calculate the multiplication 6×12 = 72 in the parenthesis, then calculate the substitution 72 - 72 = 0 in the parenthesis. Because the division number cannot be 0, this question is meaningless. 2. ** Simple calculation ** - Title: 25×32×125 - The answer was to split 32 into 4×8, and the original formula became (25×4)×(8×125)=100×1000 = 100000. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following are some of the fourth grade primary school math Olympiad questions and answers: 1. ** and times problem **: The quotient of two numbers is four, the remainder is two, and the sum of the two numbers is forty-two. Find these two numbers. - If the smaller number is x, and the quotient of the larger number divided by the smaller number is 4 and the remainder is 2, then the larger number is x. The sum of the two numbers is 42, which gives the equations: x+(4x + 2)=42, 5x+2 = 42, 5x=40. The solution is x = 8, and the larger number is 44. 2. ** Divide with known dividends, quotient, and remainder **: Divider is 3320, quotient is 150, remainder is 20. - According to the formula, we can get the result: <<(3320 - 20)> div150 = 22>. 3. ** Successive natural number sum problem **: 3998 is the sum of four consecutive natural numbers, find the smallest number. - Let the smallest number be {x}, then the other three numbers are {x + 1},{x+2}, and {x + 3}, which gives the equation {x+(x + 1)+(x+2)+(x + 3)=3998},{4x+6 = 3998}, and {4x=3992}. The solution is {x = 998}. 4. ** Number and Decimals Adding Problem **: There is a two-digit number. Add a decimals point in front of one of its digits and add it to the two-digit number. The result is 20.9. Find the two-digit number. - Let this two-digit number be <x>, because the result after adding is <20.9>, we can know that this decimal is <0.1x>, then <x+0.1x = 20.9>,<1.1x = 20.9>, the solution is <x = 19>. 5. ** Family age problem **: A family of three, the total age of the three is 72 years old, mother and father are the same age, mother's age is four times that of the child, please age the three. - If the child's age is considered as a multiple of 1, and the parents are four times the child's age, then the child's age is <72'> div4>(1 + 4+4)=8>, and the mother and father's age is <8'> time4>= 32>. 6. ** Sports allocation problem **: A, B, C and D will participate in basketball, volleyball, football and chess respectively. It was known that A was taller than a volleyball player, that D had lost his legs in an accident a few years ago, and that a soccer player was shorter than C and a basketball player. Ask A, B, C and D to participate in what event. - From the fact that Ding lost his legs, he could tell that Ding was a chess player; A was not a volleyball or football player, so A was a basketball player; C was not a football player, so C was a volleyball player; B was a football player. 7. [Fruit packing problem: 10 fruits must be packed in 6 bags. The number of fruits in each bag must be even, and there must be no fruit or bags left.] - He put two bags in each bag and five bags in the last bag. 8. ** Comparing the amount of money left after spending money **: Naughty had 300 yuan, 56 yuan for books, and 128 yuan for stationery. How much less was Naughty left than before? - The money that was less than the original amount was the money spent. The total amount spent was [56+128 = 184] yuan. 9. [Question of the number of fishes: The two brothers went fishing and caught a total of 23 fishes. The elder brother caught three times more fish than the younger brother. How many fishes did the elder brother and younger brother catch?] - First, calculate the number of fish the younger brother has caught. The number of fish the older brother has caught is [(23 - 3)][Div(3 + 1)][5][1][2][3][3] 10. ** Alien payment problem **: Aliens have 1 cent, 2 cent, 4 cent, and 8 cent coins each. Please pay for 7 cent, 9 cent, 10 cent, 13 cent, 14 cent, and 15 cent items. - \(7 = 1+2+4\),\(9 = 1+8\),\(10 = 2+8\),\(13 = 1+4+8\),\(14 = 2+4+8\),\(15 = 1+2+4+8\)。 11. [Fruit distribution problem: There are bananas, apples, and oranges on the plate.] Xiao Gang, Xiao Lin, and Xiao Hong each took a different fruit. "Everyone can only eat one kind of fruit. I don't eat oranges," said Xiao Gang. "I don't eat apples or oranges," said Xiao Lin. Beg who to take what fruit. - Xiao Lin took the bananas, Xiao Hong took the oranges, and Xiao Gang took the apples. 12. ** Four-digit numbers and questions **: Which four-digit numbers have the sum of each number equal to 34? - There were 8899, 8989, 8998, 9889, 9898, 9988, 7999, 9799, 9979, and 9997. 13. ** Price of tables and chairs **: Given that the price of a table is 10 times that of a chair, and knowing that a table is 288 yuan more than a chair, please find the price of a table and a chair. - The price of a chair was $288,000, and the price of a table was $32,000. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following are some of the 24-point calculation questions and answers: 1. 1、1、1、8:(1+1+1)*8 = 24 2. 1、1、2、6:(1+1+2)*6 = 24 3. 1、1、2、7:(1+2)*(1+7)=24 4. 1、1、2、8:(1*1+2)*8 = 24 5. 1、1、2、9:(1+2)*(9 - 1)=24 6. 1、1、2、10:(1+1)*(2+10)=24 7. 1, 1, 3, 4: 8. 1、2、5、10:(10÷2)*5 - 1 = 24 9. 2, 7, 8, 10: 10. 4, 8, 2, 10: 11. 7、6、10、3:1. 10 - 3 = 7,7*3 = 21,21+6 = 24 12. 10, 3, 8, 8 (Requires calculation) 13. 3、4、5、7:1. 7*3 = 21,21+7 = 28,28 - 4 = 24 14. 1、1、5、6:(5 - 1)*1*6 = 24;5×(6 - 1)-1 = 24 15. 3、9、9、9:3×(9 - 9÷9)=24;9 - 3+9+9 = 24;(9×9 - 9)÷3 = 24 16. 5、7、7、10:(7 - 5)*7+10 = 24 17. 2、3、5、12:12÷(3 - 5÷2)=24 However, only these questions were provided, and there was still a gap from 100 questions. If you need more questions, it is recommended to search for more comprehensive content through the search engine "24-point calculation questions with 100 answers". <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
In the second volume of the fourth grade mathematics addition and substitution calculation, there were some important contents: ** 1. Laws of Operations ** 1. ** Nature of Subtraction ** - Subtracting several numbers from a number in a row was equal to the sum of this number minus these deductions. It was expressed in letters as a - b - c=a-(b + c). For example, when calculating [5.17-1.8 - 3.2], the formula could be converted to [5.17-(1.8 + 3.2)=5.17 - 5 = 0.17]. - In the reverse calculation, a-(b + c)=a - b - c). During this process, one must pay attention to the change of symbols. Many students tend to forget to change symbols during the reverse calculation. - There was also the commutative law of substitution, which was expressed as a (a-b- c= a-c- b). 2. ** Moving with Symbols in Same-Level Operations ** - When there was only addition and substitution in the equation (which belonged to the same level of operation), it could be moved with a sign. For example, when calculating the addition and deduction of an equation, such as <79+187 - 187+21>, you can move <187>> to the front, with the minus sign in front of it,<79>> to the back, with the plus sign in front of it, it becomes <79 - 187+187+21>, which makes it easier to calculate. It was also applicable to the addition and reduction of decimals. For example,"5.82+0.18 - 3.6" could be moved to the back of "5.82" with the plus sign in front, and "3.6" could be moved to the back with the minus sign in front, becoming "5.82+0.18 - 3.6=(5.82 + 0.18)-3.6 = 6 - 3.6 = 2.4". 3. ** Rules for Removing and Adding Brackets ** - When removing or adding parenthesis, if there was a "+" in front of the parenthesis, there was no need to change the sign; if there was a "-" in front of the parenthesis, the sign had to be changed."+" became "-","-" became "+". For example,<9.64-(3.64 + 3)>, after removing the parenthesis, becomes <9.64 - 3.64 - 3=6 - 3 = 3>. ** 2. Error-prone Points in Calculation ** 1. Be careful not to be careless when calculating. Be careful not to count addition as deduction or deduction as addition. 2. Remember to add one when carrying out addition, and remember to abdicate and subtract one when abdicating. ** 3. Calculation of decimals ** 1. He had to pay attention to the alignment of the decimals, and then he had to do the calculation according to the method of addition and substitution of the whole numbers. For example,(20.67-1.48 = 19.19\),\(18.88 - 16.03=2.85\),\(15.35 - 9.05 = 6.3),(3.26+20.2 = 23.46),(4.23+1.45 = 5.68),(20.85 - 13.3 = 7.55),(4.21+12.74 = 16.95),(18.62 - 17.01 = 1.61), and so on. 2. The simple operations of decimals were also applicable to the above operational laws, such as the nature of the substitution, moving with symbols, and so on. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The fourth grade primary school language book 1 contained three parts: "Communication platform","Usage of words and phrases" and "Accumulating over time". ** 1. Communication Platform ** The goal was to let the students grasp the key words and sentences, and to have a preliminary understanding of the text to express their thoughts and feelings. For example, through the discovery of some children, the sentences in the text could express the author's thoughts and feelings. For example, from the last sentence of "Country People," one could feel the beauty of the country people, and from the sentences in "Skylight," one could feel the joy that the skylight brought to the children. The transition sentence and the last sentence in a general article often express the author's feelings and thoughts, which can be emphasized when reading. You can also read the entire text first, grasp the content of each paragraph with the help of key sentences, then think about the content of the text in connection with the content of each paragraph, and finally look at the ending and transition paragraph to express the feelings of the sentence and other steps to understand the feelings of the text. ** II. Usage of Words and Paragrams ** 1. ** A comparison of urban and rural life terms ** - There were words that described city life, such as bustling, resplendent, high-rise buildings, heavy traffic, brilliant lights, etc. From these words, one could experience the bright lights and lively noise of city life. - Words describing village life included fertility, tranquility, smoke curling up from chimneys, mountains and rivers, chickens and dogs hearing each other, and so on. They could make people feel the tranquility and beauty of village life. 2. ** Write sentences according to the example sentences ** - He gave a description of the countryside life (The red clouds in the sky, the gentle breeze in the evening, the birds flying over their heads returning to their nests, they were all their good friends.) Together with the villagers, they painted a natural and harmonious idyllic landscape) and seaside life (flying seagulls, golden sand, and white waves constituted a charming seaside landscape). Illustrations of grasslands, mountains and rivers, and beautiful sceneries of the campus were also given. Students were asked to describe these scenes according to the example sentences. For example, the grassland scene could be described as "Under the blue sky, the snow mountain stands far away, the green grassland is vast and boundless, and the flocks of sheep and horses are grazing freely. What a harmonious and natural grassland scenery";; The landscape scene could be described as "a clear stream flowing in the mountains, the green grass beside the stream is lush, the trees are lush, and the mountains are scattered in the distance, and the white clouds are leisurely." Two yellow orioles flew past, their cheerful songs echoing in the mountains. It was a beautiful landscape painting. ** 3. Accumulate over time ** Including Mao Ze-dong's "Divinator·Ode to Plum Blossom": Wind and rain send spring back, flying snow welcomes the spring. It was already a hundred feet of ice on the cliff, and there were still beautiful flowers. Beauty does not fight for spring, only to report spring. When the mountain flowers were blooming, she smiled in the bushes. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following are some reflections on the fourth grade mathematics teaching: ** In terms of the first and fourth operations ** - ** Strengths ** - When teaching the order of the four operations, examples could be used to guide the students, such as the scenes of shopping and accounting in life, so that the students could understand the rules of multiplication and division before addition and addition, as well as calculating the parenthesis first. If he could successfully get the students to connect with reality, this would be a very good teaching strategy. - As for the simple arithmetic of the four arithmetic operations, it would be a good idea to guide students to observe the characteristics of numbers and explore them independently, so as to cultivate their sense of numbers and computational ability. - ** Not enough ** - There might be some students who were easily confused about the order of the four mixed operations. This might be due to insufficient practice or the lack of emphasis on confusing points in the teaching. - In the teaching of simple calculations, the explanation of some special number combinations (such as calculations close to the whole ten or hundred) might not be in-depth enough, causing some students to be unable to flexibly use simple calculations. ** 2. Observing objects (2)** - ** Strengths ** - Physical models or animations could be used to show the shapes of objects seen from different directions, which would help students understand intuitively. If such a teaching method was used, it could enhance the teaching effect. - ** Not enough ** - This part was difficult to teach. Some students might have poor spatial imagination and could not accurately identify the shapes of objects seen from different directions. Students with weak spatial imagination might lack sufficient targeted training and guidance methods. ** 3. Laws of Operations ** - ** Strengths ** - If they could explore the laws of addition and multiplication through group cooperation and let the students discover the laws themselves, it could improve their independent learning and cooperation ability. - If he could explain the law of calculation with real life examples (such as different algorithms for calculating the total price when shopping), it would deepen the students 'understanding. - ** Not enough ** - As for the reverse operation of the calculation law, it might not be emphasized enough in the teaching, resulting in some students only using the law to perform simple calculations and not being able to perform reverse operations flexibly. - Some students might just memorize the formulas and did not really understand their meaning, so they were prone to making mistakes in practical application. ** 4. The significance and nature of decimals ** - ** Strengths ** - When explaining the meaning of decimals, one could start with the concept of fraction and use graphs (such as a square divided into 10, 100, etc.) to directly represent decimals. This method of combining numbers and shapes would help students understand. - For the teaching of the property of decimals (adding or removing 0 at the end of the decimals, the size of the decimals remains the same), if a comparison example was used (such as the comparison of 2.3 and 2.30 in terms of numerical values), the students could clearly understand this property. - ** Not enough ** - In the teaching of reading and writing decimals, some students might make mistakes when reading and writing decimals, especially when there were many decimals. This might be the result of not practicing carefully enough. - When teaching the comparison of decimals, some students might not have a deep understanding of some special cases (such as the comparison between 0.9 and 0.900) and have vague concepts. ** 5. Triangle ** - ** Strengths ** - When teaching the classification of a triangle, if the students were to measure the sides and angles of the triangle by themselves, it would enhance their hands-on ability and understanding of the characteristics of the triangle. - For the teaching of a triangle with 180 degrees of internal angles, the method of puzzle experiment (putting the three angles of the triangle together) was used to help students understand this concept intuitively. - ** Not enough ** - In the teaching of the three-sided relationship of a triangle (the sum of any two sides is greater than the third side), some students may only remember this conclusion, but when they actually judge whether the three line segments can form a triangle, they cannot flexibly use this relationship. - When teaching complex triangular combinations, it might be difficult for students to accurately identify the triangular relationship and lack sufficient comprehensive analysis ability. ** 6. Adding and Subtracting Decimals ** - ** Strengths ** - It would be a good teaching method to emphasize the importance of decimal point alignment in teaching and to let students understand arithmetic through examples (such as the addition and substitution of decimals involved in shopping change). - Allowing students to calculate decimals vertically and verify them could cultivate their calculation accuracy and test habits. - ** Not enough ** - There might be some students who made mistakes in the number alignment when calculating the addition and substitution of decimals, especially when the number of digits in the integral part and the decimal part were different. - When solving the practical application of decimals, there might be students who could not correctly analyze the meaning of the question and list the wrong calculations. ** 7. Movement of the graph ** - ** Strengths ** - When teaching the translation and axis-symmetrical graphs, the students could use the grid paper to make the students operate the translation and complete the axis-symmetrical graphs themselves, which could improve their hands-on operation ability and space concept. - ** Not enough ** - For the determination of the distance of the figure translation and the determination of the symmetrical axis of the axis-symmetrical figure, some students might have difficulty understanding it, and there might be a lack of sufficient step-by-step guidance in the teaching. - In the teaching of translation and axis-symmetrical transformation of complex figures (including many basic figures), students might have difficulty accurately grasping the transformation of the overall figure. ** 8. Average and Bar Chart ** - ** Strengths ** - If he explained the meaning and calculation method of the average through specific life data (such as the test results of the students in the class), he could let the students feel the practical value of the average in life. - When teaching bar charts, students could draw their own charts to deepen their understanding of the structure and data representation of the charts. - ** Not enough ** - Some students might misunderstand the concept of the average due to the influence of extreme data. - When comparing different bar charts, students might lack the ability to analyze the information behind the data. ** 9. Mathematics (Chicken and Rabbit in the Same Cage)** - ** Strengths ** - If a variety of solution methods (such as the list method, the hypothesis method, etc.) were used to explain the chicken and rabbit in the same cage problem, it could broaden the students 'solution ideas. - By introducing the topic through the story of the ancient chicken and rabbit cage problem, it could stimulate the students 'interest in learning. - ** Not enough ** - The chicken and rabbit in the same cage problem was more difficult for some students. It might be difficult to understand the solution of the hypothesis method, and the tutoring for these students might not be enough. - Students might lack the ability to draw inferences from one example when they applied the solution to the chicken and rabbit in the same cage problem to other similar problems. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
There were many versions of the fourth grade of primary school, including different versions of mathematics, English, Chinese, science, and other subjects, such as the 2023 - 2024 People's Education Version, Jiangsu Education Version, Beijing Normal University Version, People's Education PEP Version T3 Zhejiang Special Version, Yilin Version Jiangsu Special Version, Teaching Version, Foreign Research Version, etc. It had many characteristics, such as new ideas, new materials, new perspectives, infiltration of the new curriculum standards, selection of topics and materials related to life reality, focusing on thinking, comprehensiveness and open-mindedness. In terms of practicality, it used eye-protection paper, large font size, simplified questions, rich pictures and texts, and was very interesting. The difficult questions were also provided with video explanations. The structure included class practice (including Happy Practice Foundation and Happy Raising Ability), unit listening and reading and writing training, accomplishment assessment papers (unit accomplishment assessment, stage/final accomplishment assessment), etc. After the student's book accomplishment assessment, there were listening materials and reference answers. The answers were accurate and standardized, which helped the students self-study, teachers 'explanations, and parents' guidance. Some versions also incorporated regional characteristics. For example, the Zhejiang special edition questions were related to the local characteristics of Zhejiang. The unit knowledge inventory had special homework, knowledge shorthand, and so on. The answers were also refined and analyzed, and there were a variety of electronic resources for learning. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following were some of the reading articles in the second volume of the fourth grade language book: " Three Ancient Poetry "," Country People "," Skylight "," Peach Blossom Water in March "," Amber "," Dinosaur Flying to the Blue Sky "," Nanometer-technology is by Our Side "," Millennium Dream Fulls in the Present "," White Birch "," Green "," Three Short Poems ", etc. Some of these articles were texts from textbooks. Some of the texts might have changes in words due to the revision of the textbooks. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>