43.266-24.557+34.970 is simplified as `"____________"`.

Options

A. 53.769
B. 53.679
C. 753.679
D. 102.793

Answer

To simplify the expression \( 43.266 - 24.557 + 34.970 \), we will follow these steps:

### Step 1: Subtract \( 24.557 \) from \( 43.266 \)

1. Align the numbers by their decimal points:
```
43.266
- 24.557
```

2. Start subtracting from the rightmost digit:
- In the thousandths place: \( 6 - 7 \) (we need to borrow)
- Borrow 1 from the hundredths place (making it 5), so \( 6 + 10 - 7 = 9 \)
- In the hundredths place: \( 5 - 5 = 0 \)
- In the tenths place: \( 2 - 5 \) (we need to borrow)
- Borrow 1 from the units place (making it 2), so \( 2 + 10 - 5 = 7 \)
- In the units place: \( 2 - 4 \) (we need to borrow)
- Borrow 1 from the tens place (making it 3), so \( 12 - 4 = 8 \)
- In the tens place: \( 3 - 2 = 1 \)

The result of the subtraction is:
\[ 43.266 - 24.557 = 18.709 \]

### Step 2: Add \( 34.970 \) to the result from Step 1

1. Align the result with \( 34.970 \):
```
18.709
+ 34.970
```

2. Start adding from the rightmost digit:
- In the thousandths place: \( 9 + 0 = 9 \)
- In the hundredths place: \( 0 + 7 = 7 \)
- In the tenths place: \( 7 + 9 = 16 \) (write down 6 and carry over 1)
- In the units place: \( 8 + 4 + 1 (carry) = 13 \) (write down 3 and carry over 1)
- In the tens place: \( 1 + 3 + 1 (carry) = 5 \)

The final result of the addition is:
\[ 18.709 + 34.970 = 53.679 \]

### Final Answer
The simplified expression \( 43.266 - 24.557 + 34.970 \) is equal to:
\[ \text{"53.679"} \]