Question

) Model with Mathematics Write a division equa lates to the following application of the Distributive × (200 + 9) = (18 × 200) + (18 × 9) = 3,600 + 162 = 3,762

Answer 1

Explanation:

The application of the distributive property to the expression \(18 \times (200 + 9)\) can be written as follows:

\[18 \times (200 + 9) = (18 \times 200) + (18 \times 9)\]

This step breaks down the multiplication of 18 by the sum of 200 and 9 into two separate multiplications:

1. Multiply 18 by 200: \(18 \times 200 = 3,600\)

2. Multiply 18 by 9: \(18 \times 9 = 162\)

Now, add the results of these two multiplications together:

\[3,600 + 162 = 3,762\]

So, the application of the distributive property confirms that \(18 \times (200 + 9) = 3,762\). This demonstrates the distributive property, which shows how multiplication can be distributed over addition.