Question

Which of Jallowing decimal expansion are rational.
1) 0.301300130001...
2) 10.047...
3)34.32222222
4) 14.575157...​

Answer 1

Answer:

option 3) 34.222222

Step-by-step explanation:

As 32.322222222.... is recurring in nature hence is a rational number

for more understanding: take $\frac{1}{3}$ which is rational (as any rational number can be represented in the form of $\frac{p}{q}$ where q ≠ 0 )

and,

 $\frac{1}{3}$  can be written as 0.333333333....

hence all recurring decimal numbers are rational numbers

Hope it helps

Answer 2

34.32222222 is the decimal expansion which is rational