I learned that from playing this math game online it helps me think faster. It is labeled in circles and lines. The circles are across, vertical, and center in a squared way. The lines connect all the circles together. I played the three games, decimals, money, and integers three times each. I think the hardest one is money because it involves more steps. I try solving all the problems in my head and completed the three games.
My method in some integer problems were to follow the direction because it was just adding and subtracting. However I did used a method I learn from math class to solve problems with negatives in it. The problem was a positive minus a negative. Our teacher taught us how to use ''Keep, Change, Change'' and I keep the positive, change the minus to a plus, and change the negative to a positive. Then I only had to add to solve the problem. My method I used for decimals is remove the decimal, add/subtract the the number that in the farthest right and if I need to regroup in the farthest right I subtract the second to last number by one. Instead of regroup I also add when needed. Like add the front number of how much the two farthest right hand number equal to the second to last number. Then solve the problem with adding back the decimal where it is suppose to be or keep on repeating the method to solve the problem if I need to. I use the same method in decimals with money, except I only go up to the hundredth place. I think this a great game to improve my speed and skills of math.
An inequality needs a close dot because the sign means equal to or greater or less than. If the sign is greater than without a line under it the numbers x or y is always greater than each other. With the the line under the sign greater than (>) the numbers x and y are either x greater than or equal to y or y greater than or equal to x. A line under the less than(<) sign means the same thing as x or y less than or equal to each other. A regular less than sign means x or y is always less than each other.
You only use a close dot when graphing inequalities. A close dot is also a ray or arrow, but with a colored in dot. When graphing something that is not inequality use an open dot. An open dot is like a ray or an arrow with a not colored in dot at the end. Have you notice that these arrows go on forever the direction they're pointing. Remember to always use the line under greater than or less than if there is a variable in inequalities.
In math I like to go for short cuts if there is a very long problem I know in my head. I like going for short cuts because it also eats or takes up less space. When it takes a lot of room you could also take up lots of paper. However, I like writing out the problems too. Usually in algebra, I rather write out the whole equation than do it in my head. In long equation I could not do it in my head, and when I write the problem out it is not as complicated. However I do not know how some kids do it in their heads. Sometimes even beginning algebra I have to write out. I do not have a method except ''follow the rules''. So I think there is no right method to math. And there can be lots of way to solve math problems and equations.
When I say show your work it doesn't mean to really show it in all problems. You don't need to write out the problem if it is really simple like five times six or twelve times twelve. However if you need to it is always alright. Everyone have their own ways of learning so if you learned a longer way you could write out the problem if it is really simple.
There is no such thing as division because there is an easier way to do the problem. Instead you could use cross cancel in some long division equation problems. It is also a faster and more complex way of doing it. Like 2x=16. You can do 2 times what equals six if you knew the answer to some easy questions.You can just divide 16 by 2. The complex way eats up less space too. So there are many different ways of doing equations in mathematics.
Another way that there is no such thing as division because there is cross cancel or inverse operation. If you are dividing fractions, notice when sometimes the numbers that are intersection to each other after flipping. Just cross cancel and it usually equals one or a whole number.
In my math class I have learn that the numbers between one and zero is in decimals or fractions. Like the numbers between one and zero are 0.8746 or 59/69. There are actually more, but there are too much to write them all. The numbers between one and zero could be written in fractions or decimals, but the whole number could not be more than one. You could not write it like 1.284 or 5 8/45 because the whole numbers are greater than one. One is not greater than one, but 1.284 is greater than one. So you could make the numbers after the decimals as long as you want without a whole number. There are so much numbers in between numbers that you cannot write them out, it's like writing the last number.
Any number that starts with one and have a decimal or fraction at the end is greater then one and zero. It has to start with zero point a number or numbers.
Based on my information, I think the denominator is larger in fraction because when you convert it to decimals it is read left to right where the whole number which is in the ones place is larger than the rest. In decimals the place values are ones place to the other place values and in decimals the bigger the number the smaller it is to a whole number.The numbers after the ones place is also making the whole number small. That's why the denominator in fraction is larger.
I am having problems with ''order of operation'' in my math class. I know how to do it, but sometimes I just get the order messed up. I didn't finish my test because I didn't remember all the steps. I'm still having a few problems with this but I try to follow the directions of how to do it orderly and correct by reminding myself the steps. I think doing ''order of operation'' everyday will make it more complex and not complicated. I hope I don't keep on making the same mistakes, because that will lower my grade and not improving it. However I'll try to improve by trying my best at reminding me the steps orderly.
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