To be honest, this game wasn't hard at all. Sure, it needed work to be shown, but it was just basic math. I played the game 3 times with decimals, integers, and money. If I had to choose which one was more difficult, it would be integers. 
      With decimals, all you had to do was just line them up and subtract, same with money. Decimals and money are basically the same thing. Integers, however, require more work. You have to change the operation to its opposite, same with negative or positive integers. If it had a bit algebra, then I would've used more time to work it out and solve it. The game was a bit fun and entertaining, but I think it's suited more for 5th and 6th graders rather than 7th graders.

       There are 2 different dots in inequalities. A closed dot and an open dot. Some people wonder why we have them. Well now here's the answer!
        A closed dot is used when it doesn't include that value. For example, if you have  "4 > x" we would use an open dot at 4 because 4 can not be included since it is greater than or equal to. We use a close dot when something is greater. lesser, or equal to somthing. Like "4 > x." Basically. you use a closed dot when it's just less than, greater than, or equal to, and open dot when it's just less than or greater than.

   Everybody has their different ways of solving math. Some count their fingers, others use calculators, and some people can even do it all in their head! Here are some ways of how I solve math.
         For me, it depends on the problem. If the problem is big, then I show my work. However, if the problem is small or basic, then I can do it in my head. For example, 39,874x234 is a big problem, but 6x9 is basic. You should  know right away that 6x9 is 54, since you learned it ever since 3rd grade. However, you can't just do 39,874x234 in your head, and even if you did, your mind will feel jumbled and get it wrong. Unless your a super smart person like Albert Einsten. Most equations like variables include doing your work. For example 3n-5=21. It's possible that you can do it in your head, but a better idea is to show/do your work. 

         What other way could we do instead of division to solve 2x=16?  Well, for one, we could substitute numbers. Like 2x1=2, or 2x4=8. So just keep substituting numbers until you get the answer. In this case, 2x4 wont work because it equals 8. Neither would 2x1. But what happens if we keep counting up? 2x5=10, 2x6=12, 2x7=14, 2x8=16. Look back and see if any of them equal 16. The answer to the equation is 8. So "x" would turn into 8, and there was no division required to figure it out. 
              Is there any other way to solve this without division? Like drawing a picture to help? In my opinion, I don't think there is. I think that guessing the number or dividing is the only answer to figuring out an equation like that. However, I'm sure that many other people in the world would have another way of doing it. Maybe they even involve decimals for solving an easy problem like this! 

            The reason why there are a lot of numbers between 0 and 1 is because there are fractions. Fractions like 1/2 or 3/4. Imagine a ruler. In a ruler, there's always that 0 measurement at the beginning, and if we count the little lines between 0 and 1, we see 1/8, 2/8, 1/2, 3/4, and even 1/16. Simple right? I think it's the same between all the over numbers too. We have mixed fractions like 1 2/3, and possibly even 156 3/4. The whole number would be the first number, like in 5 6/8, the whole number would be 5. Fractions like those are called mixed fractions. 
             Another possible way is because of decimals. Like 0.9 or 2.3. We have negatives too. Like -4.0 or -1/6, and so on. There's probably a lot of reasons why actually. I know that there's decimals, and fractions, but maybe I should check the number line to make sure. Math can be pretty confusing, but it can be fun too!

    I think the reason why the decimal gets smaller is because when you turn the decimal into a fraction, you simpify it and then it turns into the simplified fraction. Like 0.5 is 5/10 and when you simplify it by 5, then it turns into 1/2. So if 0.125 is 125/1000, then the simplified fraction could be 1/8. I may be wrong, but if it's true, then it's the correct answer. 
    If you still don't get what I mean, then let me explain how it works. Of course, you should know how to simplify by now, but if you don't then here's how it works. 5/10 is equivalent to 1/2. How? You have to find the common factor between 5 and 10. Since the common factor is 5, then you should divide 5/10 by 5, which would equal 1/2. Same with 125/100 equals 1/8. You just find the common factor between the numerator and denominator, and then keep dividing with common factors until you can't divide any longer. It helps, and should help with most fractions.

    Today in math with Mr. Dorman we learned about decimals, fractions, and dividing fractions and decimals. It wasn't very different from our other lessons. All we did was warm-up problems. take notes, study vocabulary, and did group problems. The warm ups were very easy, and the notes were kind of interesting. I liked it when we did the group problems though. When we do group problems, we each take turns answering problems on one whiteboard. There were 3 people at my group, because one was absent. We each took turns, helping each other on problems, and it turned out that we all got it correct, so we gave each other high fives.
    One thing that Mr. Dorman did was give the best table the focus brick. It's basically a brick with the word 'FOCUS" on it in capital letters and was written with a sharpie. To be honest, I don't think much of it, but apparently Mr. Dorman said it was one of the most important rewards a math teacher could have, and he was honored to have it. Nonetheless, math was pretty good today.