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Why does this table represent all possible sums and products under addition and multipli- cation modulo 7? Hint: Think about the remainder classes for modulo 7 arithmetic. 2. Calculate (13, 000 +2)10 (mod 13). 3. Find the remainder of 3456 when divided by the following. Hint: Use the properties of modular arithmetic! (a) 2 (b) 5 (c) 7 (d) 9 4. Complete the following exercises from Chapter 5 (page 136): 10, 11, 18, 24

Why does this table represent all possible sums and products under addition and multipli- cation modulo 7? Hint: Think about the remainder classes for modulo 7 arithmetic. 2. Calculate (13, 000 +2)10 (mod 13). 3. Find the remainder of 3456 when divided by the following. Hint: Use the properties of modular arithmetic! (a) 2 (b) 5 (c) 7 (d) 9 4. Complete the following exercises from Chapter 5 (page 136): 10, 11, 18, 24

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.6: The Pythagorean Theorem
Problem 2CE
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9. 3. 2. 3. 4 2. 4. 3. 3. 4 3. 2. 4. 4 3. 4 2. 3. 3. 1. 3. 2. 3 2. 312 Why does this table represent all possible sums and products under addition and multipli- 6. 54 cation modulo 7? Hint: Think about the remainder classes for modulo 7 arithmetic. 2. Calculate (13, 000 + 2)10 (mod 13). 3. Find the remainder of 3456 when divided by the following. Hint: Use the properties of modular arithmetic! (a) 2 (b) 5 (c) 7 (d) 9 4. Complete the following exercises from Chapter 5 (page 136): 10, 11, 18, 24
Transcribed Image Text:9. 3. 2. 3. 4 2. 4. 3. 3. 4 3. 2. 4. 4 3. 4 2. 3. 3. 1. 3. 2. 3 2. 312 Why does this table represent all possible sums and products under addition and multipli- 6. 54 cation modulo 7? Hint: Think about the remainder classes for modulo 7 arithmetic. 2. Calculate (13, 000 + 2)10 (mod 13). 3. Find the remainder of 3456 when divided by the following. Hint: Use the properties of modular arithmetic! (a) 2 (b) 5 (c) 7 (d) 9 4. Complete the following exercises from Chapter 5 (page 136): 10, 11, 18, 24
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