Find the approximately value of `18 xx 82`.

Options

A. 1300
B. 1400
C. 1500
D. 1600

Answer

To find the approximate value of \( 18 \times 82 \), we can follow these steps:

### Step 1: Round the numbers to make multiplication easier
We can round \( 18 \) to \( 20 \) and \( 82 \) to \( 80 \) for easier calculations.

### Step 2: Multiply the rounded numbers
Now, we multiply the rounded numbers:
\[ 20 \times 80 = 1600 \]

### Step 3: Determine the approximate value
Since \( 1600 \) is a round number and is close to the actual product of \( 18 \times 82 \), we can consider this as our approximate value.

### Step 4: Verify if we need to adjust the approximation
To check if \( 1600 \) is a good approximation, we can calculate the actual product:
\[ 18 \times 82 = 1476 \]
Now, we see that \( 1476 \) is closer to \( 1500 \) than \( 1600 \).

### Step 5: Round to the nearest hundred
Since \( 1476 \) is greater than \( 1400 \) and less than \( 1500 \), we round it to the nearest hundred:
- The last digit is \( 6 \), which is greater than \( 5 \), so we round up to \( 1500 \).

### Final Answer
Thus, the approximate value of \( 18 \times 82 \) is \( 1500 \).

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