Final answer:
The numbers 5.012121212..., √1,0003√30, and 0.01562138411... can be classified as rational or irrational numbers.
Step-by-step explanation:
The numbers 5.012121212..., √1,0003√30, and 0.01562138411... are given. Let's determine which of these numbers are rational and which are irrational:
- 5.012121212...: This number is a repeating decimal, which means it can be expressed as a fraction. Therefore, it is a rational number.
- √1,0003√30: The square root of 1,000 and the square root of 30 are both irrational numbers. Since the expression includes these irrational numbers, the overall value is also irrational.
- 0.01562138411...: This number is a non-repeating decimal and cannot be expressed as a fraction. Therefore, it is an irrational number.