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Lesson Example Discussion Quiz: Class Homework

Step-5

Title: Addition and Subtraction of complex numbers

Grade: 8-b Lesson: S2-L5

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Discussion: Step1 Step2 Step3 Step4 Step5

Step	Type	Explanation	Answer
1	Problem	Subtract the complex numbers ( 6i - 20) - ( 12.3i + 15.2) - ( 2.9i +17).
2	Step	The given expression	( 6i - 20) - ( 12.3i + 15.2) - ( 2.9i +17)
3	Step	Distribute the minus signs:	6i - 20 -12.3i - 15.2 - 2.9i - 17
4	Hint	Separate the real and imaginary parts:	(6i - 12.3i - 2.9i) + ( - 20 - 15.2 - 17)
5	Step	Combine the real parts and then simplify it:	-20 - 15.2 - 17 = - 52.2
6	Step	Combine the imaginary parts and then simplify it:	6i - 12.3i - 2.9i = - 9.2i
7	Hint	Combine the real part and imaginary part:	-52.2 - 9.2i
8	Step	So, the subtract of complex numbers is -52.2 - 9.2i.
9	Choice.A	52.2+9.2i is not correct because the signs and magnitudes of both the real and imaginary parts are incorrect	52.2 + 9.2i
10	Choice.B	The subtraction of complex numbers is accurately completed. So, option B is correct	-52.2 - 9.2i
11	Choice.C	-52.2 + 9.2i is not correct because it has the wrong sign for the imaginary part	-52.2 + 9.2i
12	Choice.D	52.2 - 9.2i, is incorrect because the real part should be negative, not positive	52.2 - 9.2i
13	Answer	Option	B
14	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Subtract the complex numbers ( 6i - 20) - ( 12.3i + 15.2) - ( 2.9i +17).

Step

The given expression

( 6i - 20) - ( 12.3i + 15.2) - ( 2.9i +17)

Step

Distribute the minus signs:

6i - 20 -12.3i - 15.2 - 2.9i - 17

Hint

Separate the real and imaginary parts:

(6i - 12.3i - 2.9i) + ( - 20 - 15.2 - 17)

Step

Combine the real parts and then simplify it:

-20 - 15.2 - 17 = - 52.2

Step

Combine the imaginary parts and then simplify it:

6i - 12.3i - 2.9i = - 9.2i

Hint

Combine the real part and imaginary part:

-52.2 - 9.2i

Step

So, the subtract of complex numbers is -52.2 - 9.2i.

Choice.A

52.2+9.2i is not correct because the signs and magnitudes of both the real and imaginary parts are incorrect

52.2 + 9.2i

Choice.B

The subtraction of complex numbers is accurately completed. So, option B is correct

-52.2 - 9.2i

Choice.C

-52.2 + 9.2i is not correct because it has the wrong sign for the imaginary part

-52.2 + 9.2i

Choice.D

52.2 - 9.2i, is incorrect because the real part should be negative, not positive

52.2 - 9.2i

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?

Discussion: Step1 Step2 Step3 Step4 Step5