Solve, using properties/ methods that simplify the calculations:
`224xx125`

Answer

To solve the multiplication of \( 224 \times 125 \) using properties that simplify the calculations, we can break down the numbers into more manageable parts. Here’s a step-by-step solution:

### Step 1: Break down the numbers
We can express \( 224 \) as \( 200 + 24 \) and \( 125 \) as \( 100 + 25 \).

### Step 2: Use the distributive property
Now we can use the distributive property to multiply these two expressions:
\[ 224 \times 125 = (200 + 24) \times (100 + 25) \]

### Step 3: Apply the distributive property
Now we will multiply each part:
1. \( 200 \times 100 = 20,000 \)
2. \( 200 \times 25 = 5,000 \)
3. \( 24 \times 100 = 2,400 \)
4. \( 24 \times 25 = 600 \)

### Step 4: Add all the products together
Now we add all the results from the multiplications:
\[ 20,000 + 5,000 + 2,400 + 600 \]

### Step 5: Perform the addition
1. Start with \( 20,000 + 5,000 = 25,000 \)
2. Then add \( 2,400 \):
\[ 25,000 + 2,400 = 27,400 \]
3. Finally, add \( 600 \):
\[ 27,400 + 600 = 28,000 \]

### Final Answer
Thus, \( 224 \times 125 = 28,000 \).

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