Question

select all of the numbers that round to 105 when rounded to the nearest whole number. 105.9 104.2 104.5 105.5

Explanation:

Step1: Define rounding rule

A number rounds to 105 if it is in the interval $104.5 \leq x < 105.5$ (when rounding to the nearest whole number: numbers with a tenths digit ≥5 round up, <5 round down).

Step2: Check each number

• 105.9: Tenths digit 9 ≥5, rounds to 106.
• 104.2: Tenths digit 2 <5, rounds to 104.
• 104.5: Tenths digit 5 ≥5, rounds to 105.
• 105.5: Tenths digit 5 ≥5, rounds to 106.

Answer:

104.5