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.)