Question

roger is playing a mystery number game, and he is given these clues

• the mystery number rounded to the nearest whole number is 52
• the mystery number rounded to the nearest hundredth is 51.96
• the mystery number ends in the thousandths place.

roger says the mystery number is 52.965. identify roger’s error and guess the myster
options:
roger is incorrect because 52.965 rounded to the nearest hundredth is 52.97. the mystery numbe
roger is incorrect because 52.965 rounded to the nearest hundredth is 52.06. the mystery numbe
roger is incorrect because 52.965 rounded to the nearest whole number is 53. the mystery numbe
roger is incorrect because 52.965 rounded to the nearest whole number is 3. the mystery number

Explanation:

Step1: Check whole number rounding

Round 52.965 to nearest whole number:
Look at tenths place (9, ≥5), so $52.965 \approx 53$

Step2: Match to clue constraints

The clue says rounding to nearest whole number is 52, so 52.965 violates this.

Step3: Evaluate option validity

Check each option: the third option correctly states 52.965 rounds to 53, conflicting with the first clue.

Answer:

Roger is incorrect because 52.965 rounded to the nearest whole number is 53. The mystery numbe