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Is .9 repeating the same as 1?

Posted on August 15, 2022 by Author

Is .9 repeating the same as 1?

This is what we mean when we say that 0.999… = 1 — the sequence of terminating decimals 0.9, 0.99, 0.999, 0.9999, and so on, converges to 1, so the repeating decimal 0.9999… representing the limit of that sequence, is said to be equal to 1.

What is the value of 0 by 1?

01 is undefined. Why some people say it’s true: Dividing by 0 is not allowed.

Is there a number between 0.999 and 1?

There are no numbers between 1 and 0.999… (if the nine’s are repeating to infinity), because 1 is exactly equal to 0.999… (with infinitely repeating 9’s ).

Why is 9 0 undefined?

The answer to this question is that there is no answer. By this we simply mean that there is no number which, when multiplied by 0, gives you 9. Mathematicians say that “division by 0 is undefined”, meaning there is no way to define an answer to the question in any reasonable or consistent manner.

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What is the secret number between 0 and 999999?

Answer: There are 999998 numbers between 0 and 999999.

What does 0.9 equal as a fraction?

9/10
Answer: 0.9 as a fraction is written as 9/10.

Is 0.99 a repeating decimal?

(also written as 0. 9, in repeating decimal notation) denotes the repeating decimal consisting of an unending sequence of 9s after the decimal point. This repeating decimal represents the smallest number no less than every decimal number in the sequence (0.9, 0.99, 0.999.); that is, the supremum of this sequence.

What is the number between 0 and 999999?

How many whole numbers between 0 and 999 contain the digit 5?

From the range of numbers 0 to 99, the digit 5 appears 20 times.

Is a zero equivalent to an integer?

Consider the real number that is represented by a zero and a decimal point, followed by a never-ending string of nines: 0.99999… It may come as a surprise when you first learn the fact that this real number is actually EQUAL to the integer 1. A common argument that is often given to show this is as follows.

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Is there such a thing as 0000 1?

This is why there is no such a thing as 0.000…1. And there is no world in which you can define it. The limit you just defined is equal to 0, which is exactly what we said it is, so you in fact did prove that 0.9…= 1. Thank you for proving our point.

Are there any real numbers that are not of the form9999999?

Yeah, Xamuel has got it, – definition of the Reals needs a bit of sprucing up. You can make the case for the non-existence of any Real Number that is NOT of the form .9999999…, because if the number does not includes an unknown element, then it is “imaginary”.

Are 1 and 1 the same number?

In fact, there would be room to place another real number, namely their average x + y 2 \\frac {x + y} {2} 2 x + y ​. Since no number exists between 0.999 … 0.999\\ldots 0. 9 9 9 … and 1, 1, 1, it must be that they are the same. More reluctance against the equivalence stems from a perception that a number cannot have two different names.

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