Explain how to add the amount of time 3:47 to 8:19 PM using an addition algorithm like 123 +117 240

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,...
Question
**Title:** Explaining Time Addition with an Algorithm

**Objective:**  
Learn how to add times, specifically converting and adding the times 3:47 and 8:15 PM using a structured addition approach.

**Instructions:**

1. **Problem Statement:**  
   - We aim to find out the total time from 3:47 to 8:15 using an addition algorithm.

2. **Mathematical Breakdown:**
   - The numbers to be added are 123 and 117.
   - The operation is shown in vertical format:
     ```
       123
     +117
     ------
       240
     ```

3. **Explanation of the Addition:**
   - Start with the rightmost column (units) and move to the left (tens, then hundreds):
     - Units: 3 + 7 = 10. Write 0, carry over 1.
     - Tens: 2 + 1 + 1 (carried over) = 4.
     - Hundreds: 1 + 1 = 2.
   - Result: 240

4. **Application:**
   - This demonstrates how numeric addition concepts apply to time calculations, showing how structured algorithms improve accuracy and clarity.

5. **Conclusion:**
   - By practicing these techniques, you'll enhance mental calculation skills and efficiently solve similar time addition problems. 

Use this process as a guide to perform systematic calculations in various contexts beyond simple arithmetic.
Transcribed Image Text:**Title:** Explaining Time Addition with an Algorithm **Objective:** Learn how to add times, specifically converting and adding the times 3:47 and 8:15 PM using a structured addition approach. **Instructions:** 1. **Problem Statement:** - We aim to find out the total time from 3:47 to 8:15 using an addition algorithm. 2. **Mathematical Breakdown:** - The numbers to be added are 123 and 117. - The operation is shown in vertical format: ``` 123 +117 ------ 240 ``` 3. **Explanation of the Addition:** - Start with the rightmost column (units) and move to the left (tens, then hundreds): - Units: 3 + 7 = 10. Write 0, carry over 1. - Tens: 2 + 1 + 1 (carried over) = 4. - Hundreds: 1 + 1 = 2. - Result: 240 4. **Application:** - This demonstrates how numeric addition concepts apply to time calculations, showing how structured algorithms improve accuracy and clarity. 5. **Conclusion:** - By practicing these techniques, you'll enhance mental calculation skills and efficiently solve similar time addition problems. Use this process as a guide to perform systematic calculations in various contexts beyond simple arithmetic.
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