2) Solving an addition problem by adding each place value separately and then combing the place values. For example: 23 + 45 = (20 + 40) + (3 + 5) = 60 + 8 = 68 A. Partial Sum Method B. Counting Up Method C. Opposite Change Method D. Lattice Method
2) Solving an addition problem by adding each place value separately and then combing the place values. For example: 23 + 45 = (20 + 40) + (3 + 5) = 60 + 8 = 68 A. Partial Sum Method B. Counting Up Method C. Opposite Change Method D. Lattice Method
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![**Understanding Different Addition Methods**
**Problem Statement:**
When solving an addition problem, the strategy involves adding each place value separately and then combining the place values. For instance, let's consider the equation:
\[ 23 + 45 = (20 + 40) + (3 + 5) = 60 + 8 = 68 \]
**Methods to Achieve This:**
A. **Partial Sum Method**
This method involves breaking down each number into its place values, adding each separately, and then combining the results.
B. **Counting Up Method**
This approach involves starting with one number and counting up in increments matching the place values of the other number.
C. **Opposite Change Method**
This technique involves adjusting numbers in a way that makes addition simpler, keeping track of the changes made to maintain equality.
D. **Lattice Method**
A graphical method breaking numbers into a grid format to simplify the addition of each digit by place value.
Each method highlights different mathematical strategies for approaching addition problems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcbd8ab05-f014-4030-91c7-8a253a9738bd%2F23a2a8c3-e9bf-4499-b541-d9c2a88a19ba%2Fdtcq6xi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Different Addition Methods**
**Problem Statement:**
When solving an addition problem, the strategy involves adding each place value separately and then combining the place values. For instance, let's consider the equation:
\[ 23 + 45 = (20 + 40) + (3 + 5) = 60 + 8 = 68 \]
**Methods to Achieve This:**
A. **Partial Sum Method**
This method involves breaking down each number into its place values, adding each separately, and then combining the results.
B. **Counting Up Method**
This approach involves starting with one number and counting up in increments matching the place values of the other number.
C. **Opposite Change Method**
This technique involves adjusting numbers in a way that makes addition simpler, keeping track of the changes made to maintain equality.
D. **Lattice Method**
A graphical method breaking numbers into a grid format to simplify the addition of each digit by place value.
Each method highlights different mathematical strategies for approaching addition problems.
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