Today in math we began probability with an the Monty Hall problem. Here is the video we watched in class. https://www.youtube.com/watch?v=mhlc7peGlGg We also studied the frequency of rolling a die and the Higher or Lower Game. We learned there would be a 0.097 percent chance of winning 10 questions in the Higher or Lower Game by guessing, this answer is received by multiplying 0.5 (50 50 chance) to the 10th power (number of questions) and multiplying it by 100 to get it in percent form. There is no homework due tomorrow.
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Today in math we learned how to multiply, add, and subtract, complex numbers. A complex number is one with a real and imaginary component, like 5-3i. We also learned how to find the absolute value of complex numbers. To do this, use the coefficients in the complex numbers as a and b in the Pythagorean Theorem, because when plotted on the complex plane, the hypotenuse of of the triangle is the absolute value (distance away from the origin or 0).
The worksheet on this was due in class today. I apologize for missing posts due to the astronomy camping trip.
Here is a math reflection: In math we learned about imaginary numbers. One important one is i, the sqrt of -1. You can express negative sqrts using i and it's exponents. A list of i's exponents i^1= i i^2=-1 i^3=-i i^4=-1 i^5=i and so on, so on... If you want to express a number like the sqrt of negative -9 using i, you can rewrite it as the sqrt of nine times the sqrt of negative one, or 3i. This rule is represented as the sqrt of a times the sqrt of b is the sqrt of a times b. This works for division as well. There is a worksheet about this week worked on in class, it is due next week, and is on Google Classroom. Today in math we learned about imaginary numbers, specifically i. i is the square root of negative one. You can apply i to lasers, cell phones and more. To simplify an unsolvable square root like √-9, you can turn the answer to √9 times √-1, or 3i.
The paper given out in class with these types of problems on it is due tomorrow, I believe. You can ask questions in the comments below! (: |
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November 2016
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