Question

>> Statement
True/False
If p is a single-digit number, then p x 10³ is always less than 104.
?

Answer 1

Ambiguous notation: if "104" means 10^4 (i.e. 10000) the statement is True; if "104" means one hundred four the statement is False.

Explanation:
- Interpreting 104 as 10^4 = 10000: a single‑digit p is at most 9, so p·10^3 ≤ 9·1000 = 9000 < 10000. Hence True.
- Interpreting 104 as 104: take p = 1 (or 9); 1·1000 = 1000 (and 9·1000 = 9000) which are not less than 104. Hence False (counterexample p = 1).