By how much should `27.354` be increased to get `52`?

Options

A. `22.696`
B. `24.646`
C. `24.346`
D. `24.606`

Answer

To solve the question "By how much should 27.354 be increased to get 52?", we can follow these steps:

### Step-by-Step Solution:

1. **Set Up the Equation**:
We need to find a number \( x \) such that when added to 27.354, it equals 52. This can be expressed as:
\[ 27.354 + x = 52 \]

2. **Rearrange the Equation**:
To find \( x \), we can rearrange the equation to isolate \( x \):
\[ x = 52 - 27.354 \]

3. **Convert 52 to a Decimal**:
To perform the subtraction easily, we can express 52 as a decimal:
\[ 52 = 52.000 \]

4. **Perform the Subtraction**:
Now we can subtract 27.354 from 52.000:
\[ 52.000 - 27.354 \]

Let's perform the subtraction step by step:
- Align the numbers:
```
52.000
- 27.354
```

- Start from the rightmost digit:
- In the thousandths place: \( 0 - 4 \) (we need to borrow, so it becomes \( 10 - 4 = 6 \))
- In the hundredths place: \( 0 - 5 \) (we need to borrow again, so it becomes \( 10 - 5 = 5 \))
- In the tenths place: \( 0 - 3 \) (again, we need to borrow, so it becomes \( 10 - 3 = 7 \))
- In the units place: \( 1 - 7 \) (we need to borrow, so it becomes \( 11 - 7 = 4 \))
- In the tens place: \( 4 - 2 = 2 \)

- Putting it all together, we get:
\[ 52.000 - 27.354 = 24.646 \]

5. **Conclusion**:
Therefore, the amount by which 27.354 should be increased to get 52 is:
\[ x = 24.646 \]

### Final Answer:
27.354 should be increased by **24.646** to get 52.

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