In Z7, evaluate the following expressions. 3- (2 x 5) 2 × 3 × 4 5 x 3 3+4+5 3² +4² 1. 1 2. 2 3. 3 4. 4 5. 5 6. 6 7. 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The image contains a mathematical exercise involving modular arithmetic in \( \mathbb{Z}_7 \). The task is to evaluate each expression under modulus 7 and select the correct result from a dropdown menu. The expressions and potential answers are as follows:

1. \( 3 - (2 \times 5) \)
2. \( 2 \times 3 \times 4 \)
3. \( 5 \times 3 \)
4. \( 3 + 4 + 5 \)
5. \( 3^2 + 4^2 \)

The possible answers provided for each expression are:
- 1
- 2
- 3
- 4
- 5
- 6
- 0

The task is to find the correct result of each expression in \( \mathbb{Z}_7 \) (i.e., how the result would be represented under modulus 7) and choose from the provided options.
Transcribed Image Text:The image contains a mathematical exercise involving modular arithmetic in \( \mathbb{Z}_7 \). The task is to evaluate each expression under modulus 7 and select the correct result from a dropdown menu. The expressions and potential answers are as follows: 1. \( 3 - (2 \times 5) \) 2. \( 2 \times 3 \times 4 \) 3. \( 5 \times 3 \) 4. \( 3 + 4 + 5 \) 5. \( 3^2 + 4^2 \) The possible answers provided for each expression are: - 1 - 2 - 3 - 4 - 5 - 6 - 0 The task is to find the correct result of each expression in \( \mathbb{Z}_7 \) (i.e., how the result would be represented under modulus 7) and choose from the provided options.
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