To find the result of subtracting [tex]\(8.632\)[/tex] from [tex]\(53.59\)[/tex], we will follow these steps:
1. Align the numbers by their decimal points:
```
53.590
- 8.632
```
2. Perform the subtraction column by column from right to left:
a. Subtract the thousandths place:
[tex]\[
0 - 2 = -2
\][/tex]
Since we cannot subtract 2 from 0, we need to borrow from the next place to the left. Thus, we borrow 1 from the hundredths place, turning it into [tex]\(10\)[/tex]:
[tex]\[
10 - 2 = 8
\][/tex]
b. Adjust the hundredths place:
[tex]\[
9 - 3 = 6
\][/tex]
Note that because we borrowed 1, this operation is straightforward.
c. Subtract the tenths place:
[tex]\[
5 - 6 = -1
\][/tex]
Again, we need to borrow 1 from the units place, turning it into [tex]\(10\)[/tex]:
[tex]\[
10 - 6 = 4 \quad (Remember, we borrowed 1, so we need to adjust the next digit)
\][/tex]
d. Adjust the units place:
[tex]\[
13 - 8 = 5
\][/tex]
Keep in mind the debt of 1 that decreases the ten's place:
[tex]\[
4 - 1 = 3
\][/tex]
3. Combine the adjusted values to get the final result:
[tex]\[
53.590 - 8.632 = 44.958
\][/tex]
4. Identify the correct answer from the options given:
- a. [tex]\(35.527\)[/tex]
- b. [tex]\(43.958\)[/tex]
- c. [tex]\(44.958\)[/tex]
- d. [tex]\(45.958\)[/tex]
The correct answer is option c. [tex]\(44.958\)[/tex].
