0:00:00.579,0:00:05.698 Now we're going to look at an example[br]problem using our calculator. 0:00:05.698,0:00:09.864 This is the TI thirty X two S, [br]and this is the model I recommend. 0:00:09.864,0:00:13.803 Other calculators will do the exact same functions,[br]but things happen in a little bit different order. 0:00:13.803,0:00:16.942 And where the buttons are and what[br]they call them are a little bit different. 0:00:16.942,0:00:19.991 So if you're not sure how to use your[br]calculator, play around with it. 0:00:19.991,0:00:23.209 And if you still need help, then please[br]feel free to come see me. 0:00:23.209,0:00:27.209 We're going to solve this problem, and we're [br]using numbers that are in scientific notation. 0:00:27.209,0:00:31.143 And I want to show you how to enter[br]this correctly into your calculator. 0:00:31.143,0:00:37.660 So my problem is six point one times ten to the fifth, [br]divided by one point two times ten to the minus third. 0:00:37.660,0:00:42.875 So I have two issues I have to worry about: [br]one, how do I enter this number (the 6.1 x 10^5) 0:00:42.875,0:00:48.158 in scientific notation into my calculator, [br]and how do I enter the denominator correctly 0:00:48.158,0:00:53.526 so that the right calculation is done. [br]So, we're going to turn our calculator on. 0:00:53.875,0:00:58.359 And I'm going to type 6.1, and then [br]I have the times 10 to the fifth. 0:00:58.359,0:01:01.742 The way we do this on the [br]calculator is we use this EE function. 0:01:01.742,0:01:06.958 So if I look here at this button that has [br]x to the -1, above it in purple it says EE 0:01:06.958,0:01:09.830 and that means scientific [br]notation--the exponent. 0:01:09.830,0:01:13.939 So I'm going to hit 2nd because I wanted [br]to use the purple function there. 0:01:13.939,0:01:18.621 I press EE, so it shows an E on my screen.[br]And then I put a 5 in. 0:01:18.621,0:01:25.044 Now note, I did not put a multiplication sign in, [br]I did not type 10, I just put 6.1 E to the fifth. 0:01:25.044,0:01:29.305 And that means exactly the same as this: [br]6.1 times 10 to the fifth. 0:01:29.305,0:01:35.172 Now I'm going to divide, then I'm [br]going to put in my denominator: 1.2. 0:01:35.172,0:01:39.685 Again, I'm going to use my EE function, [br]so I do 2nd, EE. 0:01:39.685,0:01:45.136 And this time my exponent is to the negative [br]three, so I use my minus sign here, 0:01:45.136,0:01:51.140 this is the negative sign--excuse me, the negative[br]sign, not the subtraction sign--minus three. 0:01:51.140,0:01:57.768 And when I hit equals, that will show me my answer. [br]And it's showing it here in scientific notation. 0:01:57.768,0:02:04.953 So, I have 5.1--because I'm going to round it to [br]one decimal place--5.1 times ten to the eighth. 0:02:04.953,0:02:08.149 So, we're going to write that down. 0:02:09.537,0:02:13.420 Now, sometimes your calculator won't[br]be showing it in scientific notation, 0:02:13.420,0:02:16.185 or you want to get something [br]out of scientific notation. 0:02:16.185,0:02:18.476 And what you do is you[br]use the 2nd button again. 0:02:18.476,0:02:25.293 And here where it has DRG which stands for degree, [br]above it you see SCI/ENG, so "scientific/engineering." 0:02:25.293,0:02:32.917 So, I hit 2nd and scientific/engineering, and I want [br]to make sure SCI--that will put it in scientific mode. 0:02:32.917,0:02:38.410 If I want to just see the number NOT in scientific [br]notation, I choose FLO for "Flo" [floating decimal] 0:02:38.410,0:02:42.291 and that will show me the[br]number NOT in scientific notation. 0:02:42.291,0:02:47.087 So here you don't see the times ten to the eighth, [br]you see the whole number written out. 0:02:47.087,0:02:52.968 And I can go back to scientific notation, [br]and now again it shows it in scientific notation. 0:02:52.968,0:02:57.453 So, that's the correct way to do the problem.[br]What I want to show you is how you DON'T 0:02:57.453,0:03:01.454 want to do this, because I want you to see [br]that there is a difference in the answer. 0:03:01.454,0:03:06.953 So, here we've used the EE function,[br]our scientific notation, to show these values. 0:03:06.953,0:03:14.644 Let's look at what happens if instead of using[br]the EE button, I use "times ten to the fifth." 0:03:14.644,0:03:17.529 Now for the numerator it [br]doesn't make a big deal. 0:03:17.529,0:03:21.279 However, we're going to run into a[br]problem with our denominator. 0:03:21.279,0:03:29.311 I'm going to hit divide, one point two, [br]times ten to the minus third. 0:03:29.311,0:03:33.762 Now, when I hit the equals sign, [br]I get my answer, it's in scientific notation. 0:03:33.762,0:03:40.660 But, note it's five point one times ten to the second,[br]a very different answer than what I saw before. 0:03:40.660,0:03:45.463 And the reason for that is because what [br]really happened is the calculator took 0:03:45.463,0:03:56.011 6.1 x 10^5 divided by 1.2 [br]and multiplied by 10^-3. 0:03:56.011,0:03:58.129 And that's not what we wanted to happen, 0:03:58.129,0:04:03.247 so you need to make sure you use scientific [br]notation so that you get the correct answer.