Answer :
To solve the subtraction problem [tex]\(39.1 - 0.794\)[/tex], we will align the numbers by their decimal points and perform the subtraction step by step. Here's how you can do it:
1. Align the numbers:
- Convert [tex]\(39.1\)[/tex] to [tex]\(39.100\)[/tex] so that it has the same number of decimal places as [tex]\(0.794\)[/tex].
- Write the numbers like this:
```
39.100
- 0.794
```
2. Perform the subtraction from right to left:
- Start with the thousandths place:
- You have 0 thousandths minus 4 thousandths. Since you can't subtract 4 from 0, you need to borrow from the hundredths place. Turn the 0 in the hundredths into a 9 and turn 10 (borrowed) into the thousandths place.
- [tex]\(10 - 4 = 6\)[/tex]
- Move to the hundredths place:
- You have 9 hundredths (after borrowing) minus 9 hundredths.
- [tex]\(9 - 9 = 0\)[/tex]
- Move to the tenths place:
- You have 0 tenths minus 7 tenths. Again, since you can't subtract 7 from 0, you borrow 1 from the units place, turning 0 into 10 in the tenths place.
- [tex]\(10 - 7 = 3\)[/tex]
- Finally, move to the units place:
- After borrowing, 9 becomes 8, so you have 8 units minus 0 units.
- [tex]\(8 - 0 = 8\)[/tex]
- Combine all parts:
```
39.100
- 0.794
---------
38.306
```
The correct result of the subtraction is [tex]\(38.306\)[/tex].
The answer from the subtraction we calculated is [tex]\(38.306\)[/tex], which means the difference given, [tex]\(38.494\)[/tex], is incorrect. Therefore, the correct choice for this problem is:
C. The difference is incorrect.
1. Align the numbers:
- Convert [tex]\(39.1\)[/tex] to [tex]\(39.100\)[/tex] so that it has the same number of decimal places as [tex]\(0.794\)[/tex].
- Write the numbers like this:
```
39.100
- 0.794
```
2. Perform the subtraction from right to left:
- Start with the thousandths place:
- You have 0 thousandths minus 4 thousandths. Since you can't subtract 4 from 0, you need to borrow from the hundredths place. Turn the 0 in the hundredths into a 9 and turn 10 (borrowed) into the thousandths place.
- [tex]\(10 - 4 = 6\)[/tex]
- Move to the hundredths place:
- You have 9 hundredths (after borrowing) minus 9 hundredths.
- [tex]\(9 - 9 = 0\)[/tex]
- Move to the tenths place:
- You have 0 tenths minus 7 tenths. Again, since you can't subtract 7 from 0, you borrow 1 from the units place, turning 0 into 10 in the tenths place.
- [tex]\(10 - 7 = 3\)[/tex]
- Finally, move to the units place:
- After borrowing, 9 becomes 8, so you have 8 units minus 0 units.
- [tex]\(8 - 0 = 8\)[/tex]
- Combine all parts:
```
39.100
- 0.794
---------
38.306
```
The correct result of the subtraction is [tex]\(38.306\)[/tex].
The answer from the subtraction we calculated is [tex]\(38.306\)[/tex], which means the difference given, [tex]\(38.494\)[/tex], is incorrect. Therefore, the correct choice for this problem is:
C. The difference is incorrect.
