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Thought-Process to Discover Knowledge

Welcome to **nub****trek**.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

Welcome to **nub****trek**.

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think,

figure-out, &

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The content is presented in small-focused learning units to enable you to

think,

figure-out, &

learn.

To make best use of nubtrek, understand what is available.

nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

nub,

trek,

jogger,

exercise.

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Complex Number Addition

» `(a+ib) + (c+id)`*by associative, commutative, distributive laws of real numbers and by considering `i` as a variable*

→ `=(a+c) + i(b+d)`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

Addition of two complex numbers is the addition of real and imaginary parts individually.

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

trek

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Complex numbers addition is explained.

Starting on learning "Addition of two Complex numbers". ;; In this page, Complex numbers addition is explained.

Consider two complex numbers `z_1=a_1+ib_1` and `z_2 = a_2+ib_2`. What is `z_1+z_2`?

- `(a_1+a_2) + i (b_1+b_2)`
- `a_1+ib_1`
- `a_2+ib_2`

The answer is '`(a_1+a_2) + i (b_1+b_2)`'. This is from the associative and distributive laws of real numbers extended to numbers with `sqrt(-1)`.

Complex number Addition:

`z_1+z_2`

`quad quad =a_1+ib_1 + a_2+ib_2`

`quad quad =a_1+a_2+ib_1+ib_2` (associative law of addition)

`quad quad = a_1+a_2+ i(b_1+b_2)` (distributive law of multiplication over addition)

`quad quad =(a_1+a_2) + i (b_1+b_2)` (real and imaginary parts of result)

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Addition of Complex numbers : **For any complex number `z_1=a_1+ib_1 in CC` and `z_2 = a_2+ib_2 in CC`

`z_1+z_2 = (a_1+a_2)+i(b_1+b_2)`

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

Given two complex numbers `3+2i` and `-1+i`, what is the sum?

- `3+i`
- `2+3`
- `2+3i`
- `2-i`

The answer is '`2+3i`'

*your progress details*

Progress

*About you*

Progress

Consider two complex numbers z 1=a 1+i b 1 and z 2 = a 2+i b 2 . What is z 1+z 2 ?

a1+a2

a 1+a 2 + i b 1+b 2

a1

a1 + i b 1

a2

a2+i b2

The answer is 'a 1+a 2 + i b 1+b 2'. This is from the associative and distributive laws of real numbers extended to numbers with square root minus 1

Complex number Addition: z 1+z 2 ;; equals a 1+ib 1 + a 2+i b 2 ;; equals a 1+a 2+i b 1+i b 2 ; associative law of addition ;; equals a 1+a 2+ i b 1+b 2 ; distributive law of multiplication over addition ;; equals a 1+a 2 + i b 1+b 2 ; real and imaginary parts of result

Addition of two complex numbers is the addition of real and imaginary parts individually.

Addition of Complex numbers : For any complex number z 1=a 1+i b 1 in complex numbers and z 2 = a 2+ib 2 in complex numbers;; z 1+z 2 = a 1+a 2 +i b 1+b 2

Given two complex numbers 3+2i and minus 1+i, what is the sum?

3+i

3+i

2+3

2+3

2+3i

2+3i

minus

2 minus i

The answer is ' 2+3i '