# Online Algebra Tutoring: Complex Numbers (Addition and Subtraction)

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### 1.Addition:

p+qi and r+ti are two complex numbers.

To add these two complex numbers we add the real parts and imaginary parts of both the numbers separately.

(p+qi) + (r+ti ) = (p+r ) + (q+t)i

Example: (3+4i ) +(2+5i )

= (3+2) + (4+5)i

=(5+9i )

### 2.Subtraction

p+qi and r+ti are two complex numbers.

To subtract these two numbers, we will subtract the real part of second number from the real part of the first number and imaginary part from imaginary part.

(p+qi ) – (r+ti ) = (p-r ) + (q-t)i

Example: (5+3i) – (4+i)

= (5-4) + (3-1)i

### Check point

**1.) ( -13 + 4i) + ( 7 + 4i)**

**2.) (-15 + 7i) – (2 + 3i)**

**3.) (-7 + 3i) + (- 2 + 5i)**

**4.) 4 – (3 + 2i)**

**5.) (2 – 3i) + (4 + 7i)**

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