nows not only that 5 + 2 is 7, +2 or 2 + 5. 0 +1, 10 + 2, 10 + 3, ..., 10 + 10. The doubles 1 + 1, 2 + 2, 3 + 3, ..., 10- ach sum in this problem, descrit Tomaslav could use reasoning, to to determine the sum. In each c. -spond to the strategies you desc-

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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### Core Content

Tomaslav has learned the following facts well:

- **All the sums of whole numbers that add to 10 or less**: Tomaslav knows these facts "forward and backward." For example, he knows not only that 5 + 2 is 7, but also that 7 decomposes into 5 + 2 or 2 + 5.
  
- **Sequences of adding 10 to numbers**: 
  - 10 + 1, 10 + 2, 10 + 3, ..., 10 + 10.

- **The doubles**:
  - 1 + 1, 2 + 2, 3 + 3, ..., 10 + 10.

For each sum in this problem, describe at least three different ways that Tomaslav could use reasoning, together with the facts he knows well, to determine the sum. In each case, write equations that correspond to the strategies you describe. Take care to use parentheses appropriately and as needed.

a. \(8 + 7\)

b. \(6 + 7\)

c. \(8 + 9\) (Try to find four or five different ways to solve this.)
Transcribed Image Text:### Core Content Tomaslav has learned the following facts well: - **All the sums of whole numbers that add to 10 or less**: Tomaslav knows these facts "forward and backward." For example, he knows not only that 5 + 2 is 7, but also that 7 decomposes into 5 + 2 or 2 + 5. - **Sequences of adding 10 to numbers**: - 10 + 1, 10 + 2, 10 + 3, ..., 10 + 10. - **The doubles**: - 1 + 1, 2 + 2, 3 + 3, ..., 10 + 10. For each sum in this problem, describe at least three different ways that Tomaslav could use reasoning, together with the facts he knows well, to determine the sum. In each case, write equations that correspond to the strategies you describe. Take care to use parentheses appropriately and as needed. a. \(8 + 7\) b. \(6 + 7\) c. \(8 + 9\) (Try to find four or five different ways to solve this.)
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