WEBVTT 00:00:00.579 --> 00:00:05.698 Now we're going to look at an example problem using our calculator. 00:00:05.698 --> 00:00:09.864 This is the TI thirty X two S, and this is the model I recommend. 00:00:09.864 --> 00:00:13.803 Other calculators will do the exact same functions, but things happen in a little bit different order. 00:00:13.803 --> 00:00:16.942 And where the buttons are and what they call them are a little bit different. 00:00:16.942 --> 00:00:19.991 So if you're not sure how to use your calculator, play around with it. 00:00:19.991 --> 00:00:23.209 And if you still need help, then please feel free to come see me. 00:00:23.209 --> 00:00:27.209 We're going to solve this problem, and we're using numbers that are in scientific notation. 00:00:27.209 --> 00:00:31.143 And I want to show you how to enter this correctly into your calculator. 00:00:31.143 --> 00:00:37.660 So my problem is six point one times ten to the fifth, divided by one point two times ten to the minus third. 00:00:37.660 --> 00:00:42.875 So I have two issues I have to worry about: one, how do I enter this number (the 6.1 x 10^5) 00:00:42.875 --> 00:00:48.158 in scientific notation into my calculator, and how do I enter the denominator correctly 00:00:48.158 --> 00:00:53.526 so that the right calculation is done. So, we're going to turn our calculator on. 00:00:53.875 --> 00:00:58.359 And I'm going to type 6.1, and then I have the times 10 to the fifth. 00:00:58.359 --> 00:01:01.742 The way we do this on the calculator is we use this EE function. 00:01:01.742 --> 00:01:06.958 So if I look here at this button that has x to the -1, above it in purple it says EE 00:01:06.958 --> 00:01:09.830 and that means scientific notation--the exponent. 00:01:09.830 --> 00:01:13.939 So I'm going to hit 2nd because I wanted to use the purple function there. 00:01:13.939 --> 00:01:18.621 I press EE, so it shows an E on my screen. And then I put a 5 in. 00:01:18.621 --> 00:01:25.044 Now note, I did not put a multiplication sign in, I did not type 10, I just put 6.1 E to the fifth. 00:01:25.044 --> 00:01:29.305 And that means exactly the same as this: 6.1 times 10 to the fifth. 00:01:29.305 --> 00:01:35.172 Now I'm going to divide, then I'm going to put in my denominator: 1.2. 00:01:35.172 --> 00:01:39.685 Again, I'm going to use my EE function, so I do 2nd, EE. 00:01:39.685 --> 00:01:45.136 And this time my exponent is to the negative three, so I use my minus sign here, 00:01:45.136 --> 00:01:51.140 this is the negative sign--excuse me, the negative sign, not the subtraction sign--minus three. 00:01:51.140 --> 00:01:57.768 And when I hit equals, that will show me my answer. And it's showing it here in scientific notation. 00:01:57.768 --> 00:02:04.953 So, I have 5.1--because I'm going to round it to one decimal place--5.1 times ten to the eighth. 00:02:04.953 --> 00:02:08.149 So, we're going to write that down. 00:02:09.537 --> 00:02:13.420 Now, sometimes your calculator won't be showing it in scientific notation, 00:02:13.420 --> 00:02:16.185 or you want to get something out of scientific notation. 00:02:16.185 --> 00:02:18.476 And what you do is you use the 2nd button again. 00:02:18.476 --> 00:02:25.293 And here where it has DRG which stands for degree, above it you see SCI/ENG, so "scientific/engineering." 00:02:25.293 --> 00:02:32.917 So, I hit 2nd and scientific/engineering, and I want to make sure SCI--that will put it in scientific mode. 00:02:32.917 --> 00:02:38.410 If I want to just see the number NOT in scientific notation, I choose FLO for "Flo" [floating decimal] 00:02:38.410 --> 00:02:42.291 and that will show me the number NOT in scientific notation. 00:02:42.291 --> 00:02:47.087 So here you don't see the times ten to the eighth, you see the whole number written out. 00:02:47.087 --> 00:02:52.968 And I can go back to scientific notation, and now again it shows it in scientific notation. 00:02:52.968 --> 00:02:57.453 So, that's the correct way to do the problem. What I want to show you is how you DON'T 00:02:57.453 --> 00:03:01.454 want to do this, because I want you to see that there is a difference in the answer. 00:03:01.454 --> 00:03:06.953 So, here we've used the EE function, our scientific notation, to show these values. 00:03:06.953 --> 00:03:14.644 Let's look at what happens if instead of using the EE button, I use "times ten to the fifth." 00:03:14.644 --> 00:03:17.529 Now for the numerator it doesn't make a big deal. 00:03:17.529 --> 00:03:21.279 However, we're going to run into a problem with our denominator. 00:03:21.279 --> 00:03:29.311 I'm going to hit divide, one point two, times ten to the minus third. 00:03:29.311 --> 00:03:33.762 Now, when I hit the equals sign, I get my answer, it's in scientific notation. 00:03:33.762 --> 00:03:40.660 But, note it's five point one times ten to the second, a very different answer than what I saw before. 00:03:40.660 --> 00:03:45.463 And the reason for that is because what really happened is the calculator took 00:03:45.463 --> 00:03:56.011 6.1 x 10^5 divided by 1.2 and multiplied by 10^-3. 00:03:56.011 --> 00:03:58.129 And that's not what we wanted to happen, 00:03:58.129 --> 00:04:03.247 so you need to make sure you use scientific notation so that you get the correct answer.