Rounding Number 9Dfa08

1. **Problem Statement:** Rajiv's number rounded to 2 decimal places is $8.27$. We need to find a possible value of Rajiv's number with 3 decimal places that rounds correctly to $8.27$. 2. **Understanding Rounding:** When rounding a number to 2 decimal places, we look at the third decimal place: - If the third decimal digit is 5 or more, we round the second decimal digit up by 1. - If the third decimal digit is less than 5, the second decimal digit remains the same. 3. **Range of numbers rounding to $8.27$:** A number rounds to $8.27$ if it lies in the interval: $$8.265 \leq x < 8.275$$ 4. **Finding a possible 3-decimal place number:** We want a number with 3 decimal places in the interval $[8.265, 8.275)$. Examples: - $8.265$ rounds to $8.27$ - $8.269$ rounds to $8.27$ - $8.274$ rounds to $8.27$ 5. **Answer:** A possible value for Rajiv's number is $8.269$. This number has 3 decimal places and rounds correctly to $8.27$ when rounded to 2 decimal places.