Pam  0:01  
Hey, fellow mathers! Welcome to the podcast where Math is Figure-Out-Able. I'm Pam Harris.

Kim  0:07  
And I'm Kim Montague.

Pam  0:09  
And this is a MathStratChat episode because 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. Kim, I got to tell you. Just recently, I ran into a ton of people. They call it like, "You know, your chat strats things. Your..." It was interesting how many of them were like chat strat. I'm like "StratChat?" Anyway. 

Kim  0:32  
At least they're playing. It's great. 

Pam  0:34  
Oh, I love it. Yeah, it's not a complaint. It's like awesome. Yeah.

Kim  0:38  
Yeah, okay. Alright, so this Wednesday, our problem was two-fifths times one-eighth. Pause the podcast, solve however you'd like, and then come back to hear. Two-fifths times one-eighth.

Pam  0:45  
I have a feeling I know what you're going to do, so I'm not going to do that. I'm going to do some different. But now I'm curious. You go first, because I'm... Yeah, if you don't mind. You okay going first?

Kim  0:57  
Sure.  I'm going to say that one-fifth times one-eighth is one-fourtieth. So, then I need two-fifths, and so I'm going to double that, so that's two-fourtieths, which is the same thing as a twentieth. 

Pam  1:15  
It's equivalent to a twentieth. Cool

Kim  1:18  
So, is that what you thought I was going to do?

Pam  1:19  
No. But then I started thinking about what I thought you were going to do, and that would be lame. 

Kim  1:23  
Oh.

Pam  1:23  
I wondered if you were going to use percentages and think about 40% of one-eighth. But then you'd have to think about 40% of 12.5.

Kim  1:33  
Mmhm. 

Pam  1:34  
And that sounded... Then I was like, "She probably won't do that."

Kim  1:39  
Yeah. 

Pam  1:39  
Okay, so I was going to think about one-eighth as a half of a half. So, a half of two-fifths is one-fifth. So, then half of that would be a fourth of two-fifths. Which half of one-fifth is one-tenth. So, then half of that would be an eighth of two-fifths and half of a tenth is a twentieth. 

Kim  2:06  
Nice. I like.

Pam  2:07  
Can I just tell you that that's actually a relatively new relationship for me to think about half of a fifth being a tenth and half of a tenth being a twentieth? I know that sounds funny. 

Kim  2:16  
No, not at all.

Pam  2:17  
But yeah. It's... Yeah, anyway. It's a good relationship.

Kim  2:21  
Yeah, I think that's a really nice... Like, shows a lot of... I was going to say equivalency. But it shows a lot of depth to what you're thinking about for fractions
actually. 

Pam  2:32  
Cool. Well, I'm glad I'm there. It feels good to be there. 

Kim  2:34  
Excellent.

Pam  2:35  
Cool. 

Kim  2:36  
Alright. Well, we can't wait every week to see what you do. Join us on MathStratChat, and let us know how you think about the problems and comment on each other's strategies. 

Pam  2:44  
We love it when you comment on each other's strategies. Y'all, we'll post the problems on Wednesdays around 7:00 p.m. Central. When you answer, tag me and use the hashtag MathStratChat. Not chat strat. StratChat. Then join us here to hear how we're thinking about the problem. We love having you as part of the Math is Figure-Out-Able movement. Math is Figure-Out-Able!