Why is 99 repeating equal to 1?

What fraction is 0.99 repeating

Because 0.99… is equal to 1, it also cannot be another fraction.

What fraction is 1 repeating

1/9

For example, since the numeral 1 is doing all the repeating in the decimal 0.1111…, this tip tells us that the equivalent fraction must have a numerator of 1 and a denominator of 9. In other words, 0.1111… = 1/9.

Why does the decimal representation of 1 9 repeat

And we get that 1/9 1 divided by nine is one is 0.111111 This will continue forever. So we say that 1/9 is equal to 0.1. Repeating with this vertical line called a Benik Yalom over the one meaning that the ones repeat forever. So therefore, 1/9 is equal to 0.1 repeating.

What fraction is .999 repeating

Yes, the decimal number . 9999 repeating can be written as the fraction 9/9 or simplified to 1/1.

How do you prove 0.99 is 1

The meaning of the notation 0.999… is the least point on the number line lying to the right of all of the numbers 0.9, 0.99, 0.999, etc. Because there is ultimately no room between 1 and these numbers, the point 1 must be this least point, and so 0.999… = 1.

Is .9999999 equal to 1

We all know that . 99999… is not actually equal to 1, but that the difference between the two numbers is so infinitesimally small that it “doesn't really matter”. Well, the true notation of equality between 1 and .

What is 0.3333333333 as a fraction

1/3

So we can see that our original decimal of 0.333333… is equal to the fraction 1/3.

Is 0.9 repeating equal to 1

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. This number is equal to 1.

Does 0.9999 repeating equal 1

= 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. The same idea works for any rational number with a repeating infinite decimal expansion.

Why is .9 repeating not equal to 1

. 99999… was never exactly equal to 1. Instead, a limitation in notation of decimal numbers created the illusion that the two numbers are equal and an academic desire to keep everything neat and tidy lead to confirmation bias and the statement that, at some limit, the actual difference was essentially akin to 0.

Is 0.99999 equal to 1 proof

It's a proof by contradiction. There is no E that is greater than zero such that E = (1 — 0.9999…). Therefore 0.999… = 1.

Do you believe that 0.999 is equal to 1 Why or why not

In our current system, we haven't allowed infinitely small numbers. As a result, 0.999… = 1 because we don't allow there to be a gap between them (so they must be the same). In other number systems (like the hyperreal numbers), 0.999… is less than 1.

Why 0.999 is not equal to 1

999… and 1 are not equal because they're not the same decimal. With the exception of trailing 0's, any two decimals that are written differently are different numbers. Reply: 0.999…

Is 0.9999 actually 1

= 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. The same idea works for any rational number with a repeating infinite decimal expansion. 0.333…

Why is 0.99999 not equal to 1

. 99999… was never exactly equal to 1. Instead, a limitation in notation of decimal numbers created the illusion that the two numbers are equal and an academic desire to keep everything neat and tidy lead to confirmation bias and the statement that, at some limit, the actual difference was essentially akin to 0.

What is 0.6666666 as a fraction

Well remember that above, x was originally set equal to 0.666666 via x=0.666666, and now we have that x is also equal to 6/9, so that means 0.666666=6/9..and there's 0.666666 written as a fraction! terms by dividing both the numerator and denominator by 3. or Greatest Common Factor (GCF) of the numbers 6 and 9.

What is 0.16666666666 as a fraction

First, we can recognize that 0.16666666666 is approximately equal to 1/6.

Is the number 0.999999 exactly equal to 1

Consider the real number that is represented by a zero and a decimal point, followed by a never-ending string of nines: 0.99999… and therefore S=1.

What proves 0.9999 1

It's a proof by contradiction. There is no E that is greater than zero such that E = (1 — 0.9999…). Therefore 0.999… = 1.

What comes after 999999999

1,000,000,000 (one billion, short scale; one thousand million or one milliard, one yard, long scale) is the natural number following 999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b, bil or bn.

Why is .99999 repeating equal to one

= 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. The same idea works for any rational number with a repeating infinite decimal expansion. 0.333…

How do you prove 0.999 equals 1

It's a proof by contradiction. There is no E that is greater than zero such that E = (1 — 0.9999…). Therefore 0.999… = 1.

Is 0.999 1 false

999… and 1 are not equal because they're not the same decimal. With the exception of trailing 0's, any two decimals that are written differently are different numbers.

What is .44444 as a fraction

11111/25000

Solution: 0.44444 as a fraction is 11111/25000.

Is 0.33333 as a fraction

Conclusion: 0.33333 as a fraction is 1/3 (one-third)