Question

Can anyone help I cant figure it out​

Answer 1

a. 12/100 = 3/25

b. x = 0.121212, 100x = 12.121212.
100x - x = 99x = 12.
x = 12/99 = 4/33

c. a rational number is a number that can be written as a ratio

d. √1/69 = 0.1203858531...

e. a irrational number cannot be represented as a simple fraction

Answer 2

a. 3/25

b. 4/33

Explanation:

A.
`0.12\\=(12)/(100) \\=(3)/(25)`

B. Let 0.12 recurring be x

Hence, 100x=12.12 recurring

- x=0.12 recurring

99x=12

x=12/99

x=4/33

C. We know that because these numbers can be expressed in the form p/q where they both form a ratio. Also, these numbers satisfies the properties of rational numbers which are Terminating, or non-terminating recurring; proving that they are rational

D. 0.1211100908..... [ you can take any number that is non-terminating and non-recurring and lies between these numbers]

E. Because they cannot be expressed in a ratio as, though they extend infinitely [non-terminating].. they dont have a specific pattern[making them non-reccuring]