Choose the correct reason to the right of each step. (625 +38)+75 = 625+ (38+75) = 625+ (75+38) = (625+75) +38 = 700 +38 = 738
Choose the correct reason to the right of each step. (625 +38)+75 = 625+ (38+75) = 625+ (75+38) = (625+75) +38 = 700 +38 = 738
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![### Associative Property of Addition: Interactive Exercise
**Instructions:**
In this exercise, you will practice applying the Associative Property of Addition by supplying reasons for each step of the calculation.
**Example Problem:**
Simplify the expression \((625 + 38) + 75\).
1. Starting Expression:
\[
(625 + 38) + 75
\]
Apply the Associative Property of Addition:
\[
= 625 + (38 + 75)
\]
2. Evaluate the expression within the parentheses:
\[
= 625 + (75 + 38)
\]
3. Simplify further by switching the associative grouping:
\[
= (625 + 75) + 38
\]
4. Add the numbers within the new grouping:
\[
= 700 + 38
\]
5. Calculate the final sum:
\[
= 738
\]
**Interactive Question:**
Choose the correct reason for each step in the given problem by selecting from the dropdown options.
1. \((625 + 38) + 75 = 625 + (38 + 75)\)
\[ \boxed{\text{Select Reason}} \]
2. \(625 + (38 + 75) = 625 + (75 + 38)\)
\[ \boxed{\text{Select Reason}} \]
3. \(625 + (75 + 38) = (625 + 75) + 38\)
\[ \boxed{\text{Select Reason}} \]
4. \( (625 + 75) + 38 = 700 + 38\)
\[ \text{Simplify Addition} \]
5. \(700 + 38 = 738\)
\[ \text{Simplify Addition} \]
*Note: Steps 4 and 5 show the arithmetic calculation of adding the numbers within the groupings and their final sum, and do not require selecting reasons.*
---
**Dropdown Menu Options for Reasons:**
- Commutative Property of Addition
- Associative Property of Addition
- Simplify Addition](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a817796-b4be-478d-ba8b-56db553c444f%2Fd41e2d77-833f-4a70-babb-576c9e2fa9ce%2Fv1pi708_processed.png&w=3840&q=75)
Transcribed Image Text:### Associative Property of Addition: Interactive Exercise
**Instructions:**
In this exercise, you will practice applying the Associative Property of Addition by supplying reasons for each step of the calculation.
**Example Problem:**
Simplify the expression \((625 + 38) + 75\).
1. Starting Expression:
\[
(625 + 38) + 75
\]
Apply the Associative Property of Addition:
\[
= 625 + (38 + 75)
\]
2. Evaluate the expression within the parentheses:
\[
= 625 + (75 + 38)
\]
3. Simplify further by switching the associative grouping:
\[
= (625 + 75) + 38
\]
4. Add the numbers within the new grouping:
\[
= 700 + 38
\]
5. Calculate the final sum:
\[
= 738
\]
**Interactive Question:**
Choose the correct reason for each step in the given problem by selecting from the dropdown options.
1. \((625 + 38) + 75 = 625 + (38 + 75)\)
\[ \boxed{\text{Select Reason}} \]
2. \(625 + (38 + 75) = 625 + (75 + 38)\)
\[ \boxed{\text{Select Reason}} \]
3. \(625 + (75 + 38) = (625 + 75) + 38\)
\[ \boxed{\text{Select Reason}} \]
4. \( (625 + 75) + 38 = 700 + 38\)
\[ \text{Simplify Addition} \]
5. \(700 + 38 = 738\)
\[ \text{Simplify Addition} \]
*Note: Steps 4 and 5 show the arithmetic calculation of adding the numbers within the groupings and their final sum, and do not require selecting reasons.*
---
**Dropdown Menu Options for Reasons:**
- Commutative Property of Addition
- Associative Property of Addition
- Simplify Addition
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