What is 999999999 1?

Answer 1

no, it equals 9 9+9+9 is 27 which=9(2+7) Yes, .999... (the ... noting that 9 is infinite) equals 1. This involves a topic called limits. However, note that people do often debate as to whether .999... truly equals 1, as a lot of people simply cannot believe it is true. There are many methods people use to prove why .999... is 1, the following are the most common.

Method 1

Perhaps the most prevalent way to prove that .999... = 1 is through an algebraic equation:

Let's say you wanted to find out through algebra what the fraction of .2323... is.

Step 1) Let x be .2323...

Step 2) If x = .2323... then 100x = 23.2323... Note that 100 is used because the decimal repeats to the hundredths place

Step 3) Subtract the two and solve the resulting equation

100x = 23.2323

x = .2323

_____________

99x = 23

x = 23/99

Using this technique, let x be .9999, and thus 10x = 9.9999 (Again note that we are using 10 because the decimal is repeating to the tenths place)

Now subtract:

10x = 9.9999...

x = .9999...

___________

9x = 9

x = 1

Thus, 1 = .9999... and 10 = 9.9999...

Method 2

Take:

1/3 = .3333....

Multiply both sides by 3

1 = .9999....

Probably one of the best ways that .999... equaling 1 is explained by Dr. Math. Think of .999... simply being another way to write 1. Just as 1^1, square root of 1, and 2-1 is simply just 1. Isn't 3 square root 2 just another way of saying 18? Try to think of numbers as being able to be written in different ways.

Just as .999... = 1, so also does 2.999... equal 3 and 3.999... = 4, etc. These can be proved by using Method 1 shown.

Example of this:

10x = 29.9999...

x = 2.9999...

____________

9x = 27

x = 3

Thus, 3 = 2.9999... and 30 = 29.9999...

People often say then .999... is less than one. If you say that .999... is less than 1, then you are saying there is some number in between .999... and 1. The problem is, there is simply no real number that is between .999... and 1.

It is true that .9 is less than one, so is .99 and .999 and .9999999999999999999999. No matter the biggest string of 9's you can come up with, as long as it is finite, I can always add one more thus making it bigger, but still less than 1, but when the .9 is infinite it is 1.

Answer 2

is there meant to be a plus after 999999999? if so, it is 1000000000. If not please tell me