Each time we multiply by a power of 10, the decimal point is moved one place to the right. In Table 2, we are dividing the whole number ,
Multiplying complex numbers Video transcript We're asked to multiply the complex number 1 minus 3i times the complex number 2 plus 5i. And the general idea here is you can multiply these complex numbers like you would have multiplied any traditional binomial.
You just have to remember that this isn't a variable.
This is the imaginary unit Math multiplying numbers, or it's just i. But we could do that in two ways. We could just do the distributive property twice, which I like a little bit more, just because you're doing it from a fundamental principle. Or you could use FOIL, which you also used when you first multiplied binomials.
And I'll do it both ways. So this is just a number, 1 minus 3i. And so we can distribute it over the two numbers inside of this expression.
So when we're multiplying it times this entire expression, we can multiply 1 minus 3i times 2 and 1 minus 3i times 5i. So let's do that. So this can be rewritten as 1 minus 3i times I'll write the 2 out front-- plus 1 minus 3i times 5i. All I did is the distributive property here. All I said is, look, if I have a times b plus c, this is the same thing as ab plus ac.
I just distributed the a on the b or the c. I distributed the 1 minus 3i on the 2 and the 5i. And then I can do it again.
I have a 2 now times 1 minus 3i. I can distribute it. And over here, I'll do it again. And then 5i times negative 3i-- so let's be careful here-- 5 times negative 3 is negative And then I have an i times an i. Let me do this over here. So the 5 times negative 3 is negative And then we have i times i, which is i squared.
Now, we know what i squared is. By definition, i squared is negative 1.
So you have negative 15 times negative 1. Well that's the same thing as positive So this can be rewritten as 2 minus 6i plus 5i. Negative 15 times negative 1 is positive Now we can add the real parts.
We have a 2, and we have a positive So 2 plus And we can add the imaginary parts. We have a negative 6. So we have a negative 6, or a negative 6i, I should say.Multiply Two Numbers - powered by WebMath.
This selection will show you how to multiply two numbers together. It doesn ’ t just give you the answer the way your calculator would, but will actually show you the "long hand" way to multiply two numbers.
In this topic, we will multiply and divide whole numbers. The topic starts with 1-digit multiplication and division and goes through multi-digit problems. We will cover regrouping, remainders, and word problems. Look at the following multiplication srmvision.com can get your answer right off a multiplication srmvision.com that 0 × 6 = 0. In fact, any number times 0 = 0. Multiplying a two-digits number by a one-digit may be a little bit more fun. Multiply Two Numbers - powered by WebMath. This selection will show you how to multiply two numbers together. It doesn ’ t just give you the answer the way your calculator would, but will actually show you the "long hand" way to multiply two numbers.
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