这是小学五年级的第一单元,小数除法,希望生成有趣。有图形等更形像的展示---**Overall Title:** 小数除法 (Decimal Division) **Section Title:** 精打细算 (Careful Calculation) --- **Section 1: Scenario Description** **Image Description:** The top part of the image shows two distinct scenarios, one for "甲商店" (Shop A) and one for "乙商店" (Shop B), each with stacks of milk cartons and associated text. * **甲商店 (Shop A):** * **Visual:** Shows 5 stacks of milk cartons. * **Text:** 买了5袋,一共11.5元。(Bought 5 bags, total 11.5 yuan.) * **乙商店 (Shop B):** * **Visual:** Shows 6 stacks of milk cartons. * **Text:** 买了6袋,一共12.6元。(Bought 6 bags, total 12.6 yuan.) --- **Question 1:** **Question Stem:** 甲商店牛奶每袋多少元?说一说你是怎么算的。(How much is each bag of milk at Shop A? Explain how you calculated it.) **Equation Template (to be filled by user):** □○○=□() **Solution Methods (Provided as examples):** **Method 1 (Left Side - Conversion to Jiao):** * **Text Explanation:** 1. 11.5元 = 115角 (11.5 yuan = 115 jiao) 2. **Vertical Division:** ``` 23 5 | 115 10 --- 15 15 --- 0 ``` 3. 23角 = 2.3元 (23 jiao = 2.3 yuan) 4. 所以 11.5 ÷ 5 = 2.3 (元) (Therefore, 11.5 ÷ 5 = 2.3 (yuan)) **Method 2 (Right Side - Decomposing Yuan):** * **Text Explanation:** 1. 11.5元 = 10元 + 1.5元 (11.5 yuan = 10 yuan + 1.5 yuan) 2. 10元 ÷ 5 = 2元 (10 yuan ÷ 5 = 2 yuan) 3. 1.5元 = 15角 (1.5 yuan = 15 jiao) 4. 15角 ÷ 5 = 3角 = 0.3元 (15 jiao ÷ 5 = 3 jiao = 0.3 yuan) 5. 2元 + 0.3元 = 2.3元 (2 yuan + 0.3 yuan = 2.3 yuan) 6. 所以, 11.5 ÷ 5 = 2.3 (元) (Therefore, 11.5 ÷ 5 = 2.3 (yuan)) **Answer Line:** 答: _________________________________________。 (Answer: _________________________.) --- **Question 2:** **Question Stem:** 用竖式计算,说一说每一步的意思。(Calculate using vertical division, and explain the meaning of each step.) **Vertical Division Examples with Explanations:** **Example A (Left Side - Focusing on Yuan and Jiao Units):** * **Vertical Division:** ``` 元 角 2 . 3 5 | 1 1 . 5 1 0 ----- 1 5 1 5 ----- 0 ``` * **Annotations/Explanations:** * Above "15" (remainder from 11-10, carried down 5): 15角平均分成5份,每份3角。(15 jiao divided equally into 5 parts, each part is 3 jiao.) * Next to "1.5" (the number formed by the remainder and the next digit): 1.5元, 也就是15角。(1.5 yuan, which is 15 jiao.) **Example B (Right Side - Focusing on Place Values):** * **Vertical Division:** ``` 十个 十分 位位 位 2 . 3 5 | 1 1 . 5 1 0 ----- 1 5 1 5 ----- 0 ``` * **Annotations/Explanations:** * Above "3" (in the quotient): 这个3是0.3, 是3个0.1。别忘了在3的前面点上小数点。(This 3 is 0.3, it is 3 times 0.1. Don't forget to put the decimal point in front of 3.) * Next to "15" (the number formed by the remainder and the next digit): 这是15个0.1。(This is 15 times 0.1.) --- **Question 3:** **Question Stem:** 乙商店牛奶每袋多少元?哪家商店的牛奶便宜?(How much is each bag of milk at Shop B? Which shop's milk is cheaper?) **Hint Box (with cartoon character):** * **Text:** 注意哟,商的小数点与被除数的小数点要对齐。(Note: The decimal point of the quotient must align with the decimal point of the dividend.)

视频信息