What approximate value will come in place of question mark (?) in the given question ? (You are not expected to calculate the exact value.)
`51.12xx4.01+18.03xx 2.0-32.12=?`

Options

A. 210
B. 300
C. 142
D. 182

Answer

To solve the problem step by step, we will approximate the values involved in the expression:

**Given Expression:**
\[ 51.12 \times 4.01 + 18.03 \times 2.0 - 32.12 = ? \]

### Step 1: Approximate the Numbers
- Approximate \( 51.12 \) to \( 51 \) (since it is closer to 51 than to 52).
- Approximate \( 4.01 \) to \( 4 \) (since it is closer to 4 than to 5).
- Approximate \( 18.03 \) to \( 18 \) (since it is closer to 18 than to 19).
- Approximate \( 32.12 \) to \( 32 \) (since it is closer to 32 than to 33).

**New Expression:**
\[ 51 \times 4 + 18 \times 2 - 32 \]

### Step 2: Perform the Multiplications
- Calculate \( 51 \times 4 \):
\[ 51 \times 4 = 204 \]

- Calculate \( 18 \times 2 \):
\[ 18 \times 2 = 36 \]

### Step 3: Substitute Back into the Expression
Now substitute these values back into the expression:
\[ 204 + 36 - 32 \]

### Step 4: Perform the Addition and Subtraction
- First, add \( 204 + 36 \):
\[ 204 + 36 = 240 \]

- Then, subtract \( 32 \):
\[ 240 - 32 = 208 \]

### Final Result
Thus, the approximate value that comes in place of the question mark (?) is:
\[ 208 \]

### Conclusion
Since we are looking for an approximate value, we can choose the closest option from the given choices. The closest option to \( 208 \) is \( 210 \).

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