1,2,3,4 POW
This problem is about using the digits 1,2,3, and 4, in any order you choose, to create arithmetic expression with different numeral values for the numbers 1-25. So for an example lets say we are trying to find the formula to get to 11,we can do 4x3-2+1. When you multiply and add all of that up you get the value of 11. So we had to continue do these formula but for all the numbers 1-25. My proeess work for this project was the following.
This problem is about using the digits 1,2,3, and 4, in any order you choose, to create arithmetic expression with different numeral values for the numbers 1-25. So for an example lets say we are trying to find the formula to get to 11,we can do 4x3-2+1. When you multiply and add all of that up you get the value of 11. So we had to continue do these formula but for all the numbers 1-25. My proeess work for this project was the following.
This was the page I did all my work on. I know it is confusing but this is just the way I worked on this problem. In the left hand corner I did have a little bit of organization I wrote the numbers 1-25 and and each time that I found the formula for the number I would cross it out. That way I knew what numbers I still had to solve for. Every time I found an answer I circled the answer,that way I can always go back to he formula to help me with other numbers. I started out by kinda just playing around with the digits and got a few numbers but then I started really trying squaring some numbers and dividing and eventually I got all 25. I did get a little help from my mom when I was towards the end of this problem. She helped me solve and create some formulas which I then had to solve and check if it matched the sum we were looking for.
This was the page I did all my work on. I know it is confusing but this is just the way I worked on this problem. In the left hand corner I did have a little bit of organization I wrote the numbers 1-25 and and each time that I found the formula for the number I would cross it out. That way I knew what numbers I still had to solve for. Every time I found an answer I circled the answer,that way I can always go back to he formula to help me with other numbers. I started out by kinda just playing around with the digits and got a few numbers but then I started really trying squaring some numbers and dividing and eventually I got all 25. I did get a little help from my mom when I was towards the end of this problem. She helped me solve and create some formulas which I then had to solve and check if it matched the sum we were looking for.
These are the answers of all the formulas that add up to the numbers 1-25. The only time I got really stumped on this problem was towards the end which was about 4 more numbers that I needed. I think I got stuck because I had been working on it for so long that I just needed to take a break and step back. Each answer is pretty simple to understand. All you have to do is write down the formula,solve it and then check the sum the formula was next to and then see if it match it. Some variations on this problem that would've made it interesting is that if we had to come up wit 2 different formulas for each number 1-25. I think that it would make it more of a challenge and variation of open ended problems. Overall I think I did well because I did complete every single number and I tried my best. Even if some are wrong I think that it's okay because I still worked hard and tried. I really liked this problem because I liked how open ended it was. The fact that there were so many different for each answer shows if you took the high or the low route. I think through out this project I learned about allowing yourself to take breaks because sometimes when you work to hard you just start getting frustrated and not being able to create your best work. On this problem I think I deserve a 9/10 because I answered every single problem and worked hard on making sure that the combinations worked. One habit of mathematician I know I developed was conjecture and test because I would just put random numbers in different order and I had to test each formula so I think this habit played a big role in the problem.