To solve the subtraction problem [tex]\(36 - 0.0048\)[/tex], we need to follow the subtraction operation carefully on these decimal numbers.
1. Align the numbers by their decimal points and subtract the smaller number from the larger number:
- [tex]\( 36.0000 \)[/tex]
- [tex]\(- 0.0048\)[/tex]
- ___________
2. Subtract each column from right to left:
- In the thousandths place: [tex]\(0 - 8\)[/tex] is not possible, so we borrow 1 from the hundredths place.
- In the hundredths place: [tex]\(0 - 4\)[/tex] is not possible as well; we borrow 1 from the tenths place.
- In the tenths place: [tex]\(0 - 0\)[/tex] remains [tex]\(0\)[/tex], since this column has nothing to subtract after borrowing.
- In the integral part: [tex]\(36 - 0\)[/tex] is straightforward; just [tex]\(36\)[/tex].
3. Perform the carry-over operations and keep track:
- Thousandths: After borrowing, it becomes [tex]\(10\)[/tex], subtract [tex]\(8\)[/tex], result is [tex]\(2\)[/tex].
- Hundredths: Becomes [tex]\(9\)[/tex], subtract [tex]\(4\)[/tex], result is [tex]\(5\)[/tex].
- Tenths: Remains [tex]\(9\)[/tex], subtract [tex]\(0\)[/tex], result is [tex]\(9\)[/tex].
- Whole number [tex]\(35\)[/tex], since [tex]\(6\)[/tex] borrowed.
So, the calculated result is:
[tex]\[
36 - 0.0048 = 35.9952
\][/tex]
Therefore, the correct answer is:
- A. 35.9952
