Question

question 8 (multiple choice worth 2 points) (02.03r lc) 36.029 - 18.771 = ______ 17.258 22.758 54.800 23.358

Explanation:

Step1: Subtract the two decimals

We need to calculate \( 36.029 - 18.771 \). Align the decimal points and subtract each digit:
\[

$$\begin{align*} 36.029\\ -18.771\\ \hline 17.258 \end{align*}$$

\]
Wait, no, wait. Wait, 36.029 - 18.771: Let's do the subtraction properly. 36.029 minus 18.771.

36.029 - 18.771:

First, subtract the thousandths place: 9 - 1 = 8.

Then the hundredths place: 2 - 7. Can't do that, so borrow from the tenths place. The tenths place is 0, so we have to borrow from the ones place. 36 becomes 35, the tenths place becomes 10, then we borrow from the tenths place to the hundredths place: tenths place becomes 9, hundredths place becomes 12. Now 12 - 7 = 5.

Tenths place: 9 - 7 = 2.

Ones place: 35 - 18 = 17? Wait, no, 36 - 18 = 18, but we had to borrow for the decimals. Wait, maybe a better way: 36.029 - 18.771. Let's write it as 36.029 + (-18.771).

36 - 18 = 18. 0.029 - 0.771 = -0.742. Then 18 - 0.742 = 17.258? Wait, no, that's not right. Wait, no, 36.029 - 18.771:

Let's do 36.029 - 18.771:

36.029
-18.771
--------
17.258? Wait, no, 36 - 18 is 18, 0.029 - 0.771 is -0.742, so 18 - 0.742 = 17.258? But wait, the options have 17.258, 22.758, 54.800, 23.358. Wait, maybe I made a mistake. Wait, 36.029 - 18.771: Let's check with another method. 36.029 - 18 = 18.029, then 18.029 - 0.771 = 17.258. Yes, that's correct. Wait, but the options include 17.258, which is one of the choices. Wait, but let me check again. 36.029 - 18.771:

36.029
-18.771
= 17.258. So the correct answer is 17.258. Wait, but the options: the first option is 17.258, then 22.758, 54.800, 23.358. So the correct answer is 17.258. Wait, but maybe I miscalculated. Wait, 36.029 - 18.771:

Let's do 36.029 - 18.771:

36.029
-18.771
= (36 - 18) + (0.029 - 0.771)
= 18 + (-0.742)
= 17.258. Yes, that's correct. So the answer is 17.258. Wait, but the options: the first option is 17.258? Wait, the user's image shows the options as 17.258, 22.758, 54.800, 23.358. So the correct answer is 17.258. Wait, but maybe I made a mistake. Wait, 36.029 - 18.771:

Let's use a calculator approach: 36.029 - 18.771 = 17.258. Yes, that's correct.

Wait, but the user's image shows the options, and the first option is 17.258. So the correct answer is 17.258.

Wait, but wait, maybe I misread the numbers. Let me check again: 36.029 - 18.771. 36 - 18 is 18, 0.029 - 0.771 is -0.742, so 18 - 0.742 is 17.258. Yes, that's correct. So the answer is 17.258.

Answer:

17.258 (assuming the first option is A. 17.258, so the answer is A. 17.258)