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OpenStudy (3redsons):
−0.5i−i please simplify will give medal
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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 ?
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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
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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.
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OpenStudy (3redsons):
ok
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