LOOOOOOOOK

wich of these non terminating decimals can be converted to a rational number
a-0.818118111.........
b-0.020304050........
c-0.010110111..........
d*-0.321321321.........********

correct

To determine which of these non-terminating decimals can be converted to a rational number, we need to look for patterns.

a- 0.818118111...
There doesn't seem to be a repeating pattern here, so it cannot be converted to a rational number.

b- 0.020304050...
This decimal does not repeat or follow any evident pattern, so it cannot be converted to a rational number.

c- 0.010110111...
There is a repeating pattern of "011" in this decimal. Therefore, it can be converted to a rational number.

d*- 0.321321321...
This decimal repeats the pattern "321". Hence, it can be converted to a rational number.

In summary, the non-terminating decimals that can be converted to rational numbers are:
c- 0.010110111...
d*- 0.321321321...

To determine which of these non-terminating decimals can be converted to a rational number, we need to look for patterns in the digits.

Let's analyze each option:

a- 0.818118111.........: This decimal appears to have a repeating pattern of the digits "181" after the decimal point. To convert this to a rational number, we can consider it as "0.818181..." and assign a variable to represent the repeating pattern, let's call it x. We can then express this decimal as the fraction x/99 (where 99 is the number of digits in the repeating pattern). Therefore, option a can be converted to a rational number.

b- 0.020304050........: This decimal does not appear to have a repeating pattern. It seems to be an increasing sequence of digits following the pattern 02, 03, 04, 05. Since there is no repeating pattern, option b cannot be converted to a rational number.

c- 0.010110111........: This decimal does have a repeating pattern of the digits "1101" after the decimal point. To convert this to a rational number, we can consider it as "0.010101..." and assign a variable to represent the repeating pattern, let's call it x. We can then express this decimal as the fraction x/99 (since there are only 2 digits in the repeating pattern). Therefore, option c can be converted to a rational number.

d*- 0.321321321.........: This decimal has a repeating pattern of the digits "321" after the decimal point. To convert this decimal to a rational number, we can consider it as "0.321321..." and assign a variable, let's say x, to represent the repeating pattern. We can then express this decimal as the fraction x/999 (where 999 is the number of digits in the repeating pattern). Therefore, option d can be converted to a rational number.

So, options a, c, and d can be converted to rational numbers.