When rounded to the nearest 10, a number Y becomes 470. The number Y has exactly ONE decimal place. What is the LARGEST possible value of Y?
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Worked Solution
Step 1: A number rounds to 470 (nearest 10) if it is from 465 (inclusive) up to but not including 475.
Step 2: The number must have exactly ONE decimal place, so it has the form ___ . _
Step 3: The largest one-decimal-place number less than 475 is 474.9.
Step 4: Check: 474.9 → look at the ones digit (4) and the tenths (9) — combined value is 4.9, which rounds DOWN to 0 in the ones-and-tenths range relative to the nearest 10. So 474.9 rounds to 470. ✓
Answer: 474.9
Correct answer: 474.9
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