
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Which of the following statements are correct: ① Any irrational number is an infinite non-repeating decimal; ② Real numbers correspond one-to-one with points on the number line; ③ There are exactly four irrational numbers between $1$ and $3$, which are $\sqrt{2}$, $\sqrt{3}$, $\sqrt{5}$, and $\sqrt{7}$; ④ The exact value represented by the approximate number $1.50$ falls within the range $1.495 \lt x \lt 1.505$; ⑤ If $a$ and $b$ are opposite numbers, then $\frac{a}{b}=-1$. The correct statements are ____ (fill in the numbers).

Present the answer in LaTex format: \boxed{Your answer}
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