[00:00:01.200] - Pam
Hey, fellow math-ers! Welcome to the podcast where Math is Figure-Out-Able. I'm Pam.

[00:00:07.610] - Kim
And I'm Kim.

[00:00:08.680] - Pam
And this episode is a MathStratChat episode where we chat about our math strategies. Every Wednesday evening, I throw out a math problem on social media, and people from around the world chat about the strategies they use and comment on each other's thinking.

[00:00:21.080] - Kim
Okay, so this week our problem was 162 divided by 10.8. How would you like to solve this problem? Pause it, solve the problem any way you want. The problem is 162 divided by 10.8.

[00:00:35.410] - Pam
Okay. Huh. I think I'm going to think quotatively, and I'm going to think about 10.8s.

[00:00:44.650] - Kim
Okay.

[00:00:45.910] - Pam
And I'm just going to be a little curious here. If I find 2 of them, that would be 21.6. If I find 10 of them, that would be 108. I'm looking at the 162 to decide how far away I am.

[00:01:07.360] - Kim
Mmhm.

[00:01:08.410] - Pam
And I kind of wonder if I were to find... How far away am I? 108 to 62. My brain today. I'm 54 away? No. Yes. 54 away. So, how am I going to get to 54? Hmm. 4 of them would be 43.2. So I'm trying to decide how close I am to 54.  Kim, you got hard problems today.

[00:01:50.680] - Kim
Sorry.

[00:01:51.640] - Pam
It's okay. I usually have thought about them a little bit, but I have not today.

[00:01:57.560] - Kim
It's good to hear you think out loud though.

[00:01:59.750] - Pam
You think?

[00:02:00.550] - Kim
Yeah, because I think a lot of times people think that you're supposed to just like know right away.

[00:02:05.080] - Pam
Okay.

[00:02:05.420] - Kim
Like, that's part of the play.

[00:02:06.960] - Pam
Okay, so I just was finding the difference between 43.2 and 54. So, I went from 43.2 up. Wrongly. Up 0.8 to get to 44.

[00:02:21.020] - Kim
Okay.

[00:02:21.350] - Pam
And then 44 to 54 is 10. So, they're 10.8 away from each other. How nice is that? So, I think it's 5.

[00:02:31.080] - Kim
Your total answer was 5?

[00:02:33.090] - Pam
Yeah. Is that right?

[00:02:36.020] - Kim
No, I think you did...

[00:02:37.310] - Pam
Okay, hold on a second. So, 5 of them was 54. Oh, 5 was 54. Ha, sorry. But I need to get to 162. So, it's 15.

[00:02:49.080] - Kim
Okay.

[00:02:49.440] - Pam
Is that what you got?

[00:02:52.930] - Kim
I got to be honest with you. I was kind of half listening, because I was trying to think about what I would do that might be different. And I... You were thinking quotatively, so I thought, "Okay, what if I did equivalent ratio again?" And I wrote 162 divided by 10.8. And then I halved them, and I got 81 divided by 54. Or, uh, 5.4. Sorry.

[00:03:19.850] - Pam
81, 5.4. Uh-huh.

[00:03:21.250] - Kim
And I was like, "Man, what do I know..."

[00:03:23.020] - Pam
There's some 9s in there.

[00:03:24.460] - Kim
Yeah, I was like, "What do I know about that?" And I just... Like, I've been staring at the 81 and the 5.4. And so, then I started listening to you, so I didn't finish. So, then, yeah, I'm dividing by 9, and I'm getting 9 divided by... What is that? 0.6?

[00:03:44.190] - Pam
Yep.

[00:03:45.910] - Kim
So, then I'm going to go divide by 3, and I get 3 divided by 0.2. Is that right?

[00:03:55.660] - Pam
Yeah.

[00:03:56.460] - Kim
And then I got 0.15 divided by 0.1, which is 15.

[00:04:02.420] - Pam
And, you know, when you were at 3 divided by 0.2, I scaled up times 5 because I know 0.2 times 5 is 1.

[00:04:07.500] - Kim
Yeah, nice.

[00:04:08.700] - Pam
So, 15. So, we both got 15. But oof, that made me. Way to go, Kim. I was telling Kim right before we recorded this one. I was like, "I'm a little sloggy today." And man, that just played out. You heard it. Alright, y'all, we can't wait to see what you do each week. Join us on MathStratChat, and let us know how you think about the problems, and comment on each other's strategies.

[00:04:28.180] - Kim
Pam posts the problems on Wednesday at 7:00 p.m. Central. When you answer, tag her and use the hashtag #MathStratChat. Then join us here to hear how we're thinking about the problem.

[00:04:37.520] - Pam
Y'all, we love having you as part of the Math is Figure-Out-Able movement. Math is Figure-Out-Able!