What repeating decimal is equal to 4?
I think it is 3.999
Am I Wrong? Help Please
That should work.
3.99999.....
3 + 9/10 + 9/100 + 9/1000 .....
3 + 9/10
3 + geometric sequence
3 + a + ar + ar^2 ...
3 + 9/10 + 9/10(1/10)etc
a = 9/10
r = 1/10
sum = (9/10) (1/.9)
so
3 + sum of infinite geometric series
where a = .9
r = .1
Thank you(:
To find the repeating decimal that is equal to 4, you can set up an equation:
Let x be the repeating decimal.
So, we have the equation:
x = 4.
Since 4 is a whole number, it can be written as a fraction in its simplest form, with a denominator of 1:
4/1.
When this fraction is converted to a decimal, it becomes a terminating decimal because there are no repeating digits:
4/1 = 4.
Therefore, the repeating decimal that is equal to 4 is not 3.999 or any other repeating decimal. It is simply the non-repeating decimal 4.