9 Repeating Equals 1 Math

1 x 9 9 2 x 9 18 1 8 9 3 x 9 27.

9 repeating equals 1 math. Therefore 0 9 repeating equals one. As caitlinsdad says it s real close past a few decimal places doesn t really matter for most diy projects but not quite there. If 999 was equal to 1 then it would make to sense to write 9999. This actualy gets into calculus but as you keep adding 9 s to the right of the decimal it is true that the value approaches 1 but it never reaches one.

You are using an approximation. Here is a way to help see this. Also written as 0 9 among other ways denotes the repeating decimal consisting of infinitely many 9s after the decimal point and one 0 before it. 1 3 1 3 1 3 3 3 1.

It s always been jealous of 1 and it s been trying to make itself known for a long time now. Again the trick here is in the decimal representation of a common fraction. For instance this little trick. 0 9 1 1 10 so with 1 digit behind the comma it is 1 10th less than 1 0 99 1 1 100 so with 2 digits behind the comma it s 1 100th less than 1 0 99.

9 n digits behind the comma 1 1 10 n. 9 repeating does not equal 1. Like 0 9 91 the dots represent infinite 9 repeating after each other. Since there is no conceivable number that can exist in between the two they must be equal according to the definition of the real numbers as a continuum.

Then multiply it by three and you get 0 9 repeating. That is to say using 0 9 repeating i can get as close to 1 as you ask. This number is equal to 1. For the duration of this post 999 will mean 9 repeating unless otherwise specified just for the sake of ease 999 x 10x 9 999 10x x 9x 9x 9 1x 1.

This repeating decimal represents the smallest number no less than every decimal number in the sequence 0 9 0 99 0 999. So 0 9 recurring is said to be equal to 1 in the limit. I have a degree in mathematics. 9 is a pretty evil number.

If one divided by three equals one third represent it as 0 3 repeating.