1. The problem asks to find the difference between the values obtained by rounding 4.82 to one significant figure and to one decimal place. 2. **Rounding to one significant figure:** - The first significant figure in 4.82 is 4. - Look at the next digit (8) to decide whether to round up or down. - Since 8 is greater than 5, round 4 up to 5. - So, 4.82 rounded to one significant figure is $5$. 3. **Rounding to one decimal place:** - One decimal place means keeping one digit after the decimal point. - The number is 4.82, so keep 4.8 and look at the next digit (2). - Since 2 is less than 5, do not round up. - So, 4.82 rounded to one decimal place is $4.8$. 4. **Find the difference:** - Difference $= 5 - 4.8 = 0.2$. 5. Therefore, the difference between the two rounded values is $0.2$.