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Mathematics 8 Online
OpenStudy (3redsons):

−0.5i−i please simplify will give medal

OpenStudy (3redsons):

(i) is imaginary number

OpenStudy (phi):

you can treat "i" like it's a variable and "factor it out" (-0.5-1)i now combine the numbers

OpenStudy (mathstudent55):

Treat i as x. Combine like terms.

OpenStudy (3redsons):

i think its -0.5?

OpenStudy (phi):

what is -½ - 1 ?

OpenStudy (3redsons):

0.5?

OpenStudy (phi):

you have minus 0.5 and take away another 1 you get a more negative number.

OpenStudy (mathstudent55):

You owed someone $0.50. Now you owe him another $1. How much do you now owe him altogether?

OpenStudy (3redsons):

oh! -1.5?

OpenStudy (phi):

the "rule" is if the *same sign*, add the numbers and give the total the same sign so you get -1.5 i

OpenStudy (3redsons):

ok thanks i get it now

OpenStudy (mathstudent55):

\(−0.5\color{red}{i}−\color{red}{i} = -0.5\color{red}{i} -1\color{red}{i} = (-0.5 - 1)\color{red}{i} = -1.5 \color{red}{i} = -1.5i\)

OpenStudy (3redsons):

thank you thinks makes much more sense now

OpenStudy (3redsons):

this*

OpenStudy (mathstudent55):

You're welcome. Don't forget you still have the i there after you combine the -0.5 and the -1.

OpenStudy (3redsons):

ok

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