when 0.0709 is rounded to the nearest thousandth, the result is

A. 0.0709
B. 0.0701
C. 0.070
D. 0.071

is D correct?

Yes, D.

To round a number to the nearest thousandth, you need to look at the digit in the fourth decimal place (the thousandths place) and determine whether to round up or down based on the digit in the third decimal place (the ten-thousandths place).

In this case, the digit in the fourth decimal place is 9, and the digit in the third decimal place is 0. Since the digit in the third decimal place is 0, which is less than 5, you would round down the digit in the fourth decimal place.

Therefore, when 0.0709 is rounded to the nearest thousandth, the result is 0.070.

Hence, the correct answer is C. 0.070.

To round a number to the nearest thousandth, you need to consider the digit in the fourth decimal place. In this case, the digit in the fourth decimal place is 9. To round, you look at the digit to the right of it, which is 0.

Since 0 is less than 5, you keep the digit in the fourth decimal place the same and drop all the digits after it. Therefore, when rounded to the nearest thousandth, 0.0709 remains as 0.070.

So, the correct answer is C. 0.070.