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Intro to the imaginary numbers (article) | Khan Academy
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:imaginary/a/intro-to-the-imaginary-numbers
WebPure imaginary numbers. The number i is by no means alone! By taking multiples of this imaginary unit, we can create infinitely many more pure imaginary numbers. For example, 3 i , i 5 , and − 12 i are all examples of pure imaginary numbers, or numbers of the form b i , where b is a nonzero real number.
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Intro to the imaginary numbers (video) | Khan Academy
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:imaginary/v/introduction-to-i-and-imaginary-numbers
WebLearn about the imaginary unit, "i", a unique number defined as the square root of -1. It's a key part of complex numbers, which are in the form a + bi. The powers of "i" cycle through a set of values.
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Complex numbers | Algebra (all content) | Math | Khan Academy
https://www.khanacademy.org/math/algebra-home/alg-complex-numbers
WebIntro to the imaginary numbers. Powers of the imaginary unit. Simplifying roots of negative numbers. i as the principal root of -1. Practice. Powers of the imaginary unit. 4 questions. Practice. 4 questions. Practice. What are the complex numbers? Learn. Intro to complex numbers. Classifying complex numbers. Practice. Parts of complex numbers.
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Introduction to i and imaginary numbers | Imaginary and complex numbers
https://www.youtube.com/watch?v=ysVcAYo7UPI
WebJul 11, 2011 · Introduction to i and imaginary numbers | Imaginary and complex numbers | Precalculus | Khan Academy - YouTube. Fundraiser. Khan Academy. 8.34M subscribers. Subscribed. 5.7K. 1.3M...
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Intro to complex numbers (video) | Khan Academy
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:complex-num/v/complex-number-intro
WebSometimes you might get a pure imaginary number or a real number: (3 + 8i) + (-3 + 2i) = (3 - 3) + (8i + 2i) = 0 + 10i = 10i (See how the real parts add up to zero? The result is the complex number 0 + 10i, which is equivalent to the pure imaginary number 10i.) (8 + 4i) + (4 - 4i) = (8 + 4) + (4i - 4i) = 12 + 0i = 12 (See how the imaginary ...
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Intro to complex numbers (article) | Khan Academy
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:complex-num/a/intro-to-complex-numbers
WebA complex number is any number that can be written as a + b i , where i is the imaginary unit and a and b are real numbers. a is called the real part of the number, and b is called the imaginary part of the number. The table below shows examples of complex numbers, with the real and imaginary parts identified.
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Powers of the imaginary unit (practice) | Khan Academy
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:imaginary/e/imaginary_unit_powers
WebPowers of the imaginary unit (practice) | Khan Academy. Google Classroom. Which of the following is equivalent to the complex number i 13 ? Choose 1 answer: 1. A. 1. i. B. i. − 1. C. − 1. − i. D. − i. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more.
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Powers of the imaginary unit (video) | Khan Academy
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:imaginary/v/calculating-i-raised-to-arbitrary-exponents
WebThe imaginary unit i is defined such that i²=-1. So what's i³? i³=i²⋅i=-i. What's i⁴? i⁴=i²⋅i²=(-1)²=1. What's i⁵? i⁵=i⁴⋅i=1⋅i=i. Discover how the powers of 'i' cycle through values, making it possible to calculate high exponents of 'i' easily. Created by Sal Khan.
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Introduction to complex numbers | Imaginary and complex numbers
https://www.youtube.com/watch?v=A_ESfuN1Pkg
WebDec 18, 2013 · Introduction to complex numbers | Imaginary and complex numbers | Algebra II | Khan Academy. Khan Academy. 8.29M subscribers. Subscribed. 1.4K. 288K views 10 years ago Precalculus |...
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Powers of the imaginary unit (article) | Khan Academy
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:imaginary/a/powers-of-the-imaginary-unit
WebLearn how to simplify any power of the imaginary unit i. For example, simplify i²⁷ as -i. We know that i = − 1 and that i 2 = − 1 . But what about i 3 ? i 4 ? Other integer powers of i ? How can we evaluate these? Finding i 3 and i 4. The …
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