Use the suitable property to simplify each of the following and also name them.
`148xx16xx125`

Answer

To simplify the expression \( 148 \times 16 \times 125 \) using suitable properties, we can follow these steps:

### Step 1: Factor the numbers
We can start by breaking down the numbers into their factors.
- \( 16 = 2^4 = 2 \times 2 \times 2 \times 2 \)
- \( 125 = 5^3 = 5 \times 5 \times 5 \)

So we can rewrite the expression as:
\[ 148 \times (2 \times 2 \times 2 \times 2) \times (5 \times 5 \times 5) \]

### Step 2: Group the factors
Next, we can group the factors for easier multiplication. We can group \( 148 \) and \( 16 \) together:
\[ (148 \times 16) \times 125 \]

### Step 3: Calculate \( 148 \times 16 \)
Now we calculate \( 148 \times 16 \):
\[ 148 \times 16 = 148 \times (10 + 6) = 1480 + 888 = 2368 \]

### Step 4: Multiply the result by \( 125 \)
Now we multiply \( 2368 \) by \( 125 \):
\[ 2368 \times 125 = 296000 \]

### Step 5: Final calculation
We can also express \( 296000 \) as:
\[ 296000 = 296 \times 1000 \]

### Conclusion
The simplified result of \( 148 \times 16 \times 125 \) is \( 296000 \).

### Properties Used
- **Distributive Property**: We used the distributive property to break down the multiplication into manageable parts.
- **Associative Property**: We regrouped the numbers to simplify the calculation.