Solve: 11.2 × 101 - Decimal Multiplication Challenge

$11.2\times101=$

To solve this problem, we'll use the distributive property of multiplication:

• Step 1: Decompose $101$ into $100 + 1$.
• Step 2: Apply the distributive property: $11.2 \times (100 + 1) = (11.2 \times 100) + (11.2 \times 1)$.
• Step 3: Calculate $11.2 \times 100$ and $11.2 \times 1$, then add the results.

Now, let's execute each step:
Step 1: Write $101$ as $100 + 1$.
Step 2: Use the distributive property:
$11.2 \times 101 = 11.2 \times (100 + 1) = (11.2 \times 100) + (11.2 \times 1)$.

Step 3: Perform each multiplication:
$11.2 \times 100 = 1120$.
$11.2 \times 1 = 11.2$.

Adding the results: $1120 + 11.2 = 1131.2$.

Thus, the product of $11.2 \times 101$ is $1131.2$, which matches the correct choice from the provided list.