VOLUMES OF CYLINDERS, PYRAMIDS, AND CONES ADAPTED FROM WALCH EDUCATION.
Defining Complex Numbers Adapted from Walch EducationAdapted from Walch Education.
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Defining Complex Numbers Adapted from Walch Education
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Transcript of Defining Complex Numbers Adapted from Walch EducationAdapted from Walch Education.
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- Defining Complex Numbers Adapted from Walch EducationAdapted from Walch Education
- Slide 3
- Important Concepts All rational and irrational numbers are real numbers. The imaginary unit i is used to represent the non- real value,. An imaginary number is any number of the form bi, where b is a real number, i =, and b 0. Real numbers and imaginary numbers can be combined to create a complex number system. 4.3.1: Defining Complex Numbers, i, and i 2 2
- Slide 4
- Complex Numbers All complex numbers are of the form a + bi, where a and b are real numbers and i is the imaginary unit. In the general form of a complex number, a is the real part of the complex number, and bi is the imaginary part of the complex number. if a = 0, the complex number a + bi is wholly imaginary and contains no real part: 0 + bi = bi. If b = 0, the complex number a + bi is wholly real and contains no imaginary part: a + (0)i = a. 4.3.1: Defining Complex Numbers, i, and i 2 3
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- Important (really) i 0 = 1 i 1 = i i 2 = 1 i 3 = i i 4 = 1 4.3.1: Defining Complex Numbers, i, and i 2 4
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- Practice Rewrite the radical using the imaginary unit i. 4.3.1: Defining Complex Numbers, i, and i 2 5
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- Solution Rewrite the value under the radical as the product of 1 and a positive value. Rewrite the radical as i. 4.3.1: Defining Complex Numbers, i, and i 2 6
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- Solution, continued. Rewrite the positive value as the product of a square number and another whole number. 32 = 16 2, and 16 is a square number. Simplify the radical by finding the square root of the square number. 4.3.1: Defining Complex Numbers, i, and i 2 7
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- Can you Simplify i 57. 4.3.1: Defining Complex Numbers, i, and i 2 8
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- Thanks For Watching ! ~ms. dambreville