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Homework 1.2 Imaginary Numbers Rewrite each expression in standard form. 1. !! 2. !!" 3. !!
4. !!" 5. !!"# 6. !!"#
Add, subtract, multiply and divide complex numbers. 7. 3+ !! + !! 8. 5+ !! − (3− !!)
9. 2!! 3! ! 10. 5− 6! (7− 2!)
11. (−3+ !)(8+ 5!) 12. (2+ 3!)(−6− 2!)
13. !!! !!!!
14. !!!!!!!!
15. Which of the following is NOT a real number? (a) 6 (b) −36 (c) 6 (d) 6!! Explain your choice: _________________________________________________________________________________________________
(b) −36
Homework 1.2 Imaginary Numbers Solutions Rewrite each expression in standard form. 1. !! 2. !!" 3. !!
4. !!" 5. !!"# 6. !!"#
Add, subtract, multiply and divide complex numbers. 7. 3+ !! + !! 8. 5+ !! − (3− !!)
9. 2!! 3! ! 10. 5− 6! (7− 2!)
11. (−3+ !)(8+ 5!) 12. (2+ 3!)(−6− 2!)
13. !!! !!!!
14. !!!!!!!!
15. Which of the following is NOT a real number? (a) 6 (c) 6 (d) 6!! Explain your choice: −36 = 6!, which is an imaginary number. Imaginary Numbers are not real numbers.
= −1 = −1 = −!
= −! = 1 = −!
= 3 = 2− 2!
= 108! = 23− 52!
= −29− 7! = −6− 22!
=!!− !
!! =!
!− !
!!
