# 7.2: Homework


• Submit homework separately from this workbook and staple all pages together. (One staple for the entire submission of all the unit homework)
• Start a new module on the front side of a new page and write the module number on the top center of the page.
• Answers without supporting work will receive no credit.
• Some solutions are given in the solutions manual.
• You may work with classmates but do your own work

## Exercise 1

Compute and simplify the following. Show all of the steps. Use the binary operations defined at the beginning of this module.

 a. 5 * 9 b. 4 * 8 c. b * a d. 1 , 5 e. 7 , 4 f. b , a g. 88 ! 79 h. m ! n i. b ! a j. $$6 \oplus 5$$ k. $$2 \oplus 7$$ l. $$b \oplus a$$ m. 8 # 1 n. 4 # 6 o. b # a p. 8 @ 5 q. 9 @ 4 r. b @ a s. 6 $$\odot$$ 7 t. 2 $$\odot$$ 5 u. b $$\odot$$ a v. 3 $$\boxed{\times}$$ 8 w. 5 $$\boxed{\times}$$ 6 x. b $$\boxed{\times}$$ a y. 7 )( 8 z. 3 )( 2 aa. b )( a

## Exercise 2

Simplify each of the following. Show each step.

 a. 3 * (4 * 2) b. 3 @ (5 @ 2) c. 3 ! (5 ! 2)

## Exercise 3

Compute the following, using the definitions for the operations defined at the beginning of this module. Show each step.

 a. (1 $$\boxed{\times}$$ 2) $$\odot$$ 7 b. (3 * 1) , c c. (8 ! 5) $$\oplus$$ 6 d. 7 $$\boxed{\times}$$ (6 ! 13) e. 5 * (2 $$\odot$$ 2) f. 8 ! (5 $$\oplus$$ 6)

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