Question

Homework13: Problem 2 Previous Problem Problem List Next Problem (1 point) Determine whether the following statements are true or false. Enter "T" for true and "F" for false. 1. The imaginary part of the complex number 7 is 0. 2. The sum of two complex numbers is always a complex number. 3. The sum of two pure imaginary numbers is always a pure imaginary number. 4. Every complex number is a pure imaginary number.

Answer 1

bis imaginary part A Complex number na combination of a real and an imaginary number (atbi) whore as real part The complex number 7 can be written as 7+0.1" Therefore the imaginary part of complex no bo. If the imaginary parts of the two complex number are same with opposite sign the sum is purely real. (Carib+ (Ca-ib) = ate purely real) Although real numbers are subset of complex nun so yes, it is a complex number too. ☺ o yes it.. The sum of two imaginary numbers ai and bi is catbi, which is imaginary. note that if atb=0 then eitbi i still imaginary as ob the only number that is considered to be beth real and imaginary AF ret atbi is a complex number and asb both can be zero. If b=0 then atbi= a b com atbia A Complex number but rene not purely imaginary, a