Number

Ratios

Today we were being introduced to ratios. Ratios can be used for many things. For example, the ratio for lemonade could be 5:1:0.5. The 5 represents water, 1 is for a lemon, and 0.5 is how many cups of sugar.

If you wanted to double the recipe then you could just double each value in the ratio. This would create an equivalent ratio. If 5:1:0.5 was the original, then it could turn into 10:2:1.

Infinity, Limit and Number sets

Infinity : Infinity is a number that is essentially greater than any other countable number, and in other words it is something that will go on forever and ever.

Limit : When a graph reaches its limit, it will eventually start to decrease instead of going on for infinity.

Number sets : Number sets are just different groups of numbers. First everything starts off as with real numbers, which is just any sort of number you can think of (infinity is not a real number). In the very center of these circles, are natural numbers and they are any positive number you can count with (except zero). Whole numbers are the exact same thing as natural counting numbers, but they include zero. Next, Integers are all positive or negative whole numbers, including zero. Rational numbers are any number that can be written as a fraction. For example, 5 can also be 5/1 and √9 is 3 and 3 is 3/1. Then there are irrational numbers that can not be expressed as a ratio.

All of the sets that I just listed are real numbers.

Now there is a reason why the sets are within one another. First, all of these sets are all real numbers, so they are within the bubble. Then inside of the rational numbers are integers, whole numbers, and natural numbers because those numbers fit into that sets well. Then so on and so on.