elementary math session

Session Date: 11/9/2010 4:17PM Length: 31.6 minute(s) Subject: Math - Algebra II

Print Transcript View Step-By-Step Transcript Replay Session

[00:00:00] Automated System Message: *** Please note: All sessions are recorded for quality control. *** [00:00:00] Guest: SImplify [00:00:11] Vanesa G (Tutor): Hello! [00:00:16] Vanesa G (Tutor): Welcome to Tutor.com [00:00:15] Guest: hi [00:00:19] Vanesa G (Tutor): How are you today? [00:00:24] Guest: great..u [00:00:30] Vanesa G (Tutor): fine thanks [00:00:36] Vanesa G (Tutor): Are those all the problems you have to solve? [00:00:48] Guest: yes i have to simplify them [00:00:56] Vanesa G (Tutor): alright [00:01:01] Guest: k [00:01:15] Vanesa G (Tutor): are you supposed to use power properties or any specific method? [00:01:22] Guest: no [00:01:38] Vanesa G (Tutor): ok.. let's start with this one [00:01:45] Guest: ok [00:01:50] Vanesa G (Tutor): have you learned some rules of powers? [00:01:56] Guest: yes [00:02:01] Vanesa G (Tutor): great [00:02:07] Vanesa G (Tutor): so, how can we get rid of the parenthesis? [00:02:24] Guest: distribution? [00:02:29] Vanesa G (Tutor): yes! [00:02:34] Vanesa G (Tutor): go ahead please [00:02:43] Guest: i dont understand how [00:02:47] Vanesa G (Tutor): ah ok [00:03:12] Vanesa G (Tutor): well, basically we raise each number inside the parenthesis to the 5th power [00:03:21] Vanesa G (Tutor): Would you like me to show you? [00:03:27] Guest: ok and that is 2..yes please [00:03:31] Vanesa G (Tutor): sure [00:03:44] Vanesa G (Tutor): does that make sense? [00:03:53] Guest: yes [00:03:56] Vanesa G (Tutor): good [00:04:02] Vanesa G (Tutor): do you know how to express a radical as a power? [00:04:20] Guest: what do you mean by that [00:04:35] Vanesa G (Tutor): i mean how to chage radicals into powers (exponents) [00:04:44] Guest: yes [00:04:48] Vanesa G (Tutor): good [00:05:01] Vanesa G (Tutor): so, can you change sqrt 2 as a power? [00:05:08] Guest: no [00:05:23] Vanesa G (Tutor): ok.. never mind... let me change the approach [00:05:50] Vanesa G (Tutor): do you know how to factor a number out of the radical? [00:05:56] Guest: no [00:06:12] Vanesa G (Tutor): ok...I'll show you two approaches [00:06:17] Guest: ok [00:06:18] Vanesa G (Tutor): tell me which one sounds familiar [00:06:23] Guest: k [00:07:00] Vanesa G (Tutor): have you seen that before? [00:07:04] Guest: yes [00:07:09] Vanesa G (Tutor): good! [00:07:20] Vanesa G (Tutor): So, we will start again by doing that and then distributing [00:07:26] Guest: k [00:07:58] Vanesa G (Tutor): so, when we have two powers we multiply them [00:08:06] Vanesa G (Tutor): then 5*1/2 becomes 5/2 [00:08:06] Guest: k [00:08:13] Vanesa G (Tutor): is that clear so far? [00:08:13] Guest: yes [00:08:15] Vanesa G (Tutor): good [00:08:34] Vanesa G (Tutor): finally, what do we do with the powers when we have a multiplication? [00:08:43] Guest: add them [00:08:58] Vanesa G (Tutor): very good [00:09:00] Vanesa G (Tutor): can you do it? [00:09:11] Guest: yes [00:09:28] Vanesa G (Tutor): Once you get it, you can write the answer on the board [00:09:28] Guest: 7 and 1/2 [00:09:33] Vanesa G (Tutor): good [00:09:50] Vanesa G (Tutor): where did the 4 come from? [00:10:06] Guest: 2 times 2

Pgina 1 de 4Session Transcript - Math - Algebra II, 11/9/2010 4:17PM - Tutor.com

10/11/2010http://www.tutor.com/Tools/PreviousSessionViewer/SessionDisplayer.aspx?SessionG...

[00:10:13] Vanesa G (Tutor): but you don't have 2^2 [00:10:23] Guest: oh [00:10:26] Vanesa G (Tutor): you have 2^15/2 [00:10:29] Vanesa G (Tutor): so... [00:10:34] Vanesa G (Tutor): that would be... [00:11:06] Vanesa G (Tutor): does that make sense? [00:11:13] Guest: yes [00:11:15] Vanesa G (Tutor): great [00:11:23] Vanesa G (Tutor): any questions about this problem? [00:11:27] Guest: no [00:11:30] Vanesa G (Tutor): ok [00:11:37] Vanesa G (Tutor): let me open a new one for the second exercise [00:11:45] Guest: ok [00:12:11] Vanesa G (Tutor): ok.. what do you think our goal is here? [00:12:25] Guest: to simplify [00:12:34] Vanesa G (Tutor): yes, that is the ultimate goal [00:12:52] Vanesa G (Tutor): so, what is the first step for simplifying? [00:13:13] Guest: breaking down thje radicals [00:13:17] Guest: *the [00:13:23] Vanesa G (Tutor): ok... good... let's do this [00:13:37] Vanesa G (Tutor): can you express 100,000 as 10 to a power? [00:13:52] Guest: 10^5 [00:14:10] Vanesa G (Tutor): very good [00:14:25] Vanesa G (Tutor): great [00:14:39] Vanesa G (Tutor): so, how many 10's can we take out of the radical in 10^5? [00:14:47] Guest: 5 [00:15:08] Vanesa G (Tutor): not really... we need to find an even power [00:15:10] Vanesa G (Tutor): for example [00:15:28] Vanesa G (Tutor): we can break 10^5 into two numbers...I'll show you on the baord [00:15:51] Vanesa G (Tutor): does that make sense? [00:15:58] Guest: yes [00:16:00] Vanesa G (Tutor): good [00:16:10] Vanesa G (Tutor): so what is sqrt 10 4 ? [00:16:31] Guest: 10000 [00:16:42] Vanesa G (Tutor): that is correct for 10^4 [00:16:50] Vanesa G (Tutor): what do you get if you square that? [00:17:15] Guest: 100000000 [00:17:35] Vanesa G (Tutor): sorry I mean square root [00:18:02] Guest: 10^8 [00:18:17] Vanesa G (Tutor): let me try a different approach [00:18:39] Vanesa G (Tutor): do you understand how we got sqrt (10 4 *10)? [00:18:53] Guest: Slow down. I'm confused. [00:19:15] Vanesa G (Tutor): ok,.. let me step back [00:19:21] Guest: please just show the answer to the problem on the whiteboard and ill tell you ifi understand it [00:19:51] Vanesa G (Tutor): well, I'd like to discuss it with you, it will help you understand better than just looking at the answer [00:20:03] Vanesa G (Tutor): we said the radical can be expressed as 1/2 [00:20:05] Vanesa G (Tutor): right? [00:20:09] Guest: yes [00:20:14] Vanesa G (Tutor): good [00:20:22] Vanesa G (Tutor): so, lets change the radicals by 1/2 [00:20:26] Guest: ok [00:20:44] Vanesa G (Tutor): so far so good? [00:20:48] Guest: yes [00:21:00] Vanesa G (Tutor): great [00:21:09] Vanesa G (Tutor): now, what do we do with the powers? [00:21:16] Guest: add [00:21:30] Vanesa G (Tutor): well, they are not multiplying but we have one power raised to the other [00:21:37] Guest: yes [00:21:48] Vanesa G (Tutor): so, when we have one power raised to the other we multiply them [00:21:51] Vanesa G (Tutor): alright? [00:21:54] Guest: ok [00:22:13] Vanesa G (Tutor): so, what do we get from (10^5)^1/2? [00:22:43] Vanesa G (Tutor): perfect [00:23:06] Vanesa G (Tutor): so, in order to simplify that we can rewrite it like this [00:23:21] Vanesa G (Tutor): see}' [00:23:23] Vanesa G (Tutor): ? [00:23:25] Guest: yes [00:23:29] Vanesa G (Tutor): 4/2 + 1/2 = 5/2 [00:23:34] Vanesa G (Tutor): so.. 4/2 is just 2 [00:23:35] Guest: yes [00:23:54] Vanesa G (Tutor): and 10^1/2 is sqrt 10 [00:23:58] Vanesa G (Tutor): did that make sense? [00:24:13] Guest: yes [00:24:15] Vanesa G (Tutor): good [00:24:22] Vanesa G (Tutor): now, try with 10^3/2



[00:24:30] Guest: ok [00:24:31] Vanesa G (Tutor): how can you split that in two ? [00:25:01] Vanesa G (Tutor): You got it! [00:25:05] Vanesa G (Tutor): Excellent! [00:25:12] Vanesa G (Tutor): So, what is 10^272? [00:25:12] Guest: [00:25:20] Vanesa G (Tutor): 10^2/2 [00:25:39] Vanesa G (Tutor): very good [00:25:54] Vanesa G (Tutor): and multiply that by sqrt 10 please [00:26:20] Vanesa G (Tutor): oops [00:26:41] Vanesa G (Tutor): what is the number inside the square root? [00:27:15] Vanesa G (Tutor): ok.. let me clarify [00:27:23] Vanesa G (Tutor): the square root is the power 1/2 [00:27:34] Vanesa G (Tutor): and the number inside the radical is the base, 10 [00:27:41] Vanesa G (Tutor): my bad in the previous [00:28:03] Guest: k [00:28:17] Vanesa G (Tutor): sorry I meant to write 10 [00:28:26] Guest: ok [00:28:44] Vanesa G (Tutor): ok.. now the last is just 1 sqrt 10 [00:28:54] Vanesa G (Tutor): any quesitons so far? [00:29:04] Guest: no [00:29:16] Vanesa G (Tutor): ok.. we are two steps left to finish [00:29:20] Vanesa G (Tutor): what is 10^2' [00:29:22] Vanesa G (Tutor): ? [00:29:52] Guest: 100 [00:29:57] Vanesa G (Tutor): perfect... [00:30:00] Vanesa G (Tutor): so we have.... [00:30:36] Vanesa G (Tutor): You got it! [00:30:44] Vanesa G (Tutor): hahaha very good [00:30:44] Guest: thanks so much [00:30:46] Vanesa G (Tutor): you go tit [00:30:52] Vanesa G (Tutor): did this make sense? [00:30:57] Guest: yes [00:31:04] Vanesa G (Tutor): i hope it makes more sense now how to work with radicals [00:31:14] Guest: yes i feel relieved [00:31:21] Vanesa G (Tutor): Excellent! [00:31:23] Vanesa G (Tutor): i'm glad to help [00:31:28] Vanesa G (Tutor): Thanks for using Tutor.com.Please fill out the survey as you leave so we can learn how we can better help you in the future!



elementary math session

Documents