Fill in the boxes in such a way that the multiplication process is simplified. Also, state the properties of multiplication used in the process.
`697 times 32=(700-square) times 32`

Answer

To solve the problem, we need to fill in the blank in the equation \( 697 \times 32 = (700 - \_\_) \times 32 \) in such a way that the multiplication process is simplified.

### Step-by-Step Solution:

1. **Identify the difference**: We need to find the difference between 700 and 697.
\[ 700 - 697 = 3 \]

2. **Fill in the blank**: Now that we know the difference, we can fill in the blank space in the equation.
\[ 697 \times 32 = (700 - 3) \times 32 \]

3. **State the properties used**: The property of multiplication used here is the **Distributive Property**. This property states that:
\[ a \times (b - c) = a \times b - a \times c \]
In our case, we can express \( 697 \times 32 \) as:
\[ 700 \times 32 - 3 \times 32 \]

### Final Answer:
Thus, the filled equation is:
\[ 697 \times 32 = (700 - 3) \times 32 \]