Write a related addition sentence. 13-z= 7 A related addition sentence is (Type the equation without blank spaces.)
Write a related addition sentence. 13-z= 7 A related addition sentence is (Type the equation without blank spaces.)
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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![### Topic: Understanding Related Sentences in Mathematics
In mathematics, understanding how addition and subtraction sentences relate to each other is essential for building a strong foundation in arithmetic operations. This example will guide you through transforming a subtraction equation into an equivalent addition equation.
#### Example:
**Prompt: Write a related addition sentence.**
Given equation:
\[ 13 - z = 7 \]
You need to convert this subtraction equation into an addition equation.
**Step-by-Step Process:**
1. **Identify the original equation:**
\[ 13 - z = 7 \]
2. **Rewrite the subtraction as addition:**
To transform the equation from subtraction to addition, you need to add \(z\) to both sides of the equation to solve for \(z\).
\[ 13 = 7 + z \]
Hence, the related addition sentence is:
\[ 13 = 7 + z \]
On an educational website, this prompt and example can help students to practice and understand how subtraction equations can be rewritten as addition equations, emphasizing the relationship between these operations.
#### Practice Exercise
**Transform the following subtraction equations into addition equations:**
1. \(10 - x = 4\)
2. \(15 - y = 9\)
3. \(20 - a = 5\)
By practicing these transformations, students can reinforce their understanding of the relationship between addition and subtraction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a817796-b4be-478d-ba8b-56db553c444f%2F62c03db4-1024-4238-b599-5143f2110e60%2F804cubn_processed.png&w=3840&q=75)
Transcribed Image Text:### Topic: Understanding Related Sentences in Mathematics
In mathematics, understanding how addition and subtraction sentences relate to each other is essential for building a strong foundation in arithmetic operations. This example will guide you through transforming a subtraction equation into an equivalent addition equation.
#### Example:
**Prompt: Write a related addition sentence.**
Given equation:
\[ 13 - z = 7 \]
You need to convert this subtraction equation into an addition equation.
**Step-by-Step Process:**
1. **Identify the original equation:**
\[ 13 - z = 7 \]
2. **Rewrite the subtraction as addition:**
To transform the equation from subtraction to addition, you need to add \(z\) to both sides of the equation to solve for \(z\).
\[ 13 = 7 + z \]
Hence, the related addition sentence is:
\[ 13 = 7 + z \]
On an educational website, this prompt and example can help students to practice and understand how subtraction equations can be rewritten as addition equations, emphasizing the relationship between these operations.
#### Practice Exercise
**Transform the following subtraction equations into addition equations:**
1. \(10 - x = 4\)
2. \(15 - y = 9\)
3. \(20 - a = 5\)
By practicing these transformations, students can reinforce their understanding of the relationship between addition and subtraction.
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