Adding and Subtracting Complex Numbers
Read this topicExplanations 5
- Let's try some Complex Number Arithmetic. First take a look at this very quite simple example. Now try it with complex numbers. You got the hang of it? Let's now try the sum of …
By Hyunwoo (David) Lee
- To add complex numbers, you add the real parts and their imaginary parts separately. The sum of the two complex numbers a+bia+bia+bi and c+dic+dic+di becomes (a+c)+(b+d)i(a+c)+(…
By Catherine Yeo
- To add two complex numbers a+bia+bia+bi and c+di,c+di,c+di, simply add their corresponding parts to get (a+c)+(b+d)i.(a+c)+(b+d)i.(a+c)+(b+d)i. To subtract, simply subtract thei…
By Benjamin Qi
- (Video) Graphing, Adding, and Subtracting Complex Numbers by PatrickJMT Here's a good video by PatrickJMT going over the basics of complex numbers. Inequalities and equalities w…
By Alex Federspiel, Zora Gilbert
- (Videos) Complex Number Arithmetic by mathman1024 Here's a video by mathman1024 explaining how to add and subtract complex numbers. The standard form for complex numbers is a+bi…
By Alex Federspiel
Problems 20
- Let w=6−93iw = 6-93iw=6−93i and z=11i−42z=11i-42z=11i−42. What is w+zw+zw+z equal to?
- Let w=6−93iw = 6-93iw=6−93i and z=11i−42z=11i-42z=11i−42. What is w−zw-zw−z equal to?
- What is the sum of 3+4i3+4i3+4i and 4−3i4-3i4−3i?
- Here's a quick question to see if you understand complex numbers. 4−i2=?4-i^2= ?4−i2=?
- What is the smallest possible value of ∣(2+3i)−(a+bi)(1+i)∣|(2+3i) - (a+bi)(1+i)|∣(2+3i)−(a+bi)(1+i)∣ for integers a,ba,ba,b?
- What is (12i+7)−(3−5i)(12i + 7) - (3 - 5i)(12i+7)−(3−5i)?
- What is (9i−7)−(3i−4)(9i - 7) - (3i - 4)(9i−7)−(3i−4)?
- What is (4i+7)−(5i+2)+(3i−7)(4i + 7) - (5i + 2) + (3i - 7)(4i+7)−(5i+2)+(3i−7)?
- How many sardines should the order manager write down on the order form? Answer in the form of (xi±y)(xi \pm y)(xi±y).
- What is (−8+6i)+(6−6i)+(7+6i)(-8 + 6i) + (6 - 6i) + (7 + 6i)(−8+6i)+(6−6i)+(7+6i)?
- How are the following problems different? Simplify: 2+x−(3−2x)2 + x - (3 - 2x)2+x−(3−2x) Simplify: 2+i−(3−2i)2 + i - (3 - 2i)2+i−(3−2i)
- What is i+6ii + 6ii+6i?
- Is the result of the expression below a complex number? −7+8+12−9+4−14+8-7 + 8 + 12 - 9 + 4 - 14 + 8−7+8+12−9+4−14+8
- Is the result of the expression below a purely real or purely imaginary number? −9+8+6i+7+12−9+i+5-9 + 8 + 6i + 7 + 12 - 9 + i + 5−9+8+6i+7+12−9+i+5
- Is the expression below purely real or purely imaginary? (9+5−3+12−18+8)i(9 + 5 - 3 + 12 - 18 + 8)i(9+5−3+12−18+8)i
- What is the sum of 5+6i5 + 6i5+6i and 4−2i4 -2i4−2i?
- Which of the following could result from the addition or subtraction of two complex numbers?
- Evaluate: ∑k=1∞((78)k+4i3k)\sum_{k=1}^{\infty} \left(\left(\frac{7}{8}\right)^k+\frac{4i}{3^k}\right)k=1∑∞((87)k+3k4i) where iii is the imaginary number −1\sqrt{-1}−1.
- Evaluate the following sum: 100+99i−99−98i+98+97i−...+2+i100+99i-99-98i+98+97i-...+2+i100+99i−99−98i+98+97i−...+2+i
- If the sum of two complex numbers is 000, what must be true about the complex numbers?