I need help with Number 7 ## Mathematical Problem-Solving Examples### 6. Subtraction StrategyTo solve 512 - 146, a student writes the following:``` 512 400- 146 - 30 - 4 370 512 - 146 = 366 - 30 - 4 400 366```**Task:** Describe the student's solution strategy and discuss why the strategy makes sense. Expanded forms may be helpful to your discussion.### 7. Height Comparison Problem**Problem:** Matteo is 4 feet 3 inches tall. Nico is 3 feet 11 inches tall. How much taller is Matteo than Nico?Sarah solved this problem as follows:``` 3 13 4 ft 3 in- 3 ft 11 in ------------- 2 in```**Task:** Sarah gave 2 inches as the answer. Is Sarah correct? If not, explain what is wrong with her method, and show how to modify her method of regrouping to make it correct. (Do not start from scratch.)### 8. Liquid Volume Problem**Problem:** A container holds 2 quarts and 4 fluid ounces. The container is now filled with 6 fluid ounces of liquid. How much liquid must be added to the container to make it full?John solved this problem as follows:``` 1 14 2 q 4 fl oz- 6 fl oz-------------- 1 q 8 fl oz```**Solution:** John gave 1 quart and 8 fluid ounces as the answer.

I am going to solve the given problem by using some simple algebra to get the required result.

your discussion. 7. I Problem: Matteo is 4 feet 3 inches tall. Nico is 3 feet 11 inches tall. How much taller is Matteo than Nico? Sarah solved this problem as follows: 11. 13 A 3 4 ft 3in -3 ft 11 in 2 in So Sarah gave 2 inches as the answer. Is Sarah right? If not, explain what is wrong with her method, and show how to modify her method of regrouping to make it correct. (Do not start from scratch.) 8. Problem: A container holds 2 quarts and 4 fluid

your discussion. 7. I Problem: Matteo is 4 feet 3 inches tall. Nico is 3 feet 11 inches tall. How much taller is Matteo than Nico? Sarah solved this problem as follows: 11. 13 A 3 4 ft 3in -3 ft 11 in 2 in So Sarah gave 2 inches as the answer. Is Sarah right? If not, explain what is wrong with her method, and show how to modify her method of regrouping to make it correct. (Do not start from scratch.) 8. Problem: A container holds 2 quarts and 4 fluid

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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I need help with Number 7

## Mathematical Problem-Solving Examples

### 6. Subtraction Strategy

To solve 512 - 146, a student writes the following:

```
512 400
- 146 - 30
- 4 370 512 - 146 = 366
- 30 - 4
400 366
```

**Task:**
Describe the student's solution strategy and discuss why the strategy makes sense. Expanded forms may be helpful to your discussion.

### 7. Height Comparison Problem

**Problem:**
Matteo is 4 feet 3 inches tall. Nico is 3 feet 11 inches tall. How much taller is Matteo than Nico?

Sarah solved this problem as follows:

```
3 13
4 ft 3 in
- 3 ft 11 in
-------------
2 in
```

**Task:**
Sarah gave 2 inches as the answer. Is Sarah correct? If not, explain what is wrong with her method, and show how to modify her method of regrouping to make it correct. (Do not start from scratch.)

### 8. Liquid Volume Problem

**Problem:**
A container holds 2 quarts and 4 fluid ounces. The container is now filled with 6 fluid ounces of liquid. How much liquid must be added to the container to make it full?

John solved this problem as follows:

```
1 14
2 q 4 fl oz
- 6 fl oz
--------------
1 q 8 fl oz
```

**Solution:**
John gave 1 quart and 8 fluid ounces as the answer.

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