Question

Express 0.26849315068 to the nearest thousandth.

a) 0.268
b) 0.2685
c) 0.2684
d) 0.269

Answer 1

0.26849315068 rounded to the nearest thousandth is 0.268. We look at the fourth decimal place to decide rounding, and since it is less than 5, we do not round up the third place. The correct option is a) 0.268.

Step-by-step explanation:

The student asked to express the number 0.26849315068 to the nearest thousandth. When rounding to the nearest thousandth, you look at the fourth decimal place. If the fourth decimal place is 5 or greater, you round up the third decimal place by one. If it is less than 5, you keep the third decimal place as is.

Here, the number is 0.26849315068. The fourth decimal place is a '4', which is less than 5. Therefore, we do not round up the third decimal place and the number remains 0.268 when rounded to the nearest thousandth. The correct option in the final answer is a) 0.268.