Find the square of 17.

To find the square of 17, we simply multiply 17 by itself. The mathematical expression for this is 17 × 17. Let's break it down step by step.

Calculating the Square

When we multiply 17 by itself, we can use the standard multiplication method:

• 17 × 17
• First, we can break it down into smaller parts: (10 + 7) × (10 + 7).

Using the Distributive Property

Applying the distributive property, we expand it as follows:

• (10 × 10) + (10 × 7) + (7 × 10) + (7 × 7)
• This simplifies to: 100 + 70 + 70 + 49.

Adding the Parts Together

Now, we add these values together:

• 100 + 70 = 170
• 170 + 70 = 240
• 240 + 49 = 289

The Final Result

Thus, the square of 17 is 289. You can also verify this by using a calculator or by checking the multiplication directly:

• 17 × 17 = 289

In summary, squaring a number involves multiplying it by itself, and in this case, 17 squared equals 289. This method not only gives you the answer but also helps you understand how multiplication works in a more detailed way.