**Using the Distributive Property to Solve the Equation**

To find the value of the expression 125 × 8 × 883, we can use the distributive property to simplify the equation. The distributive property states that when multiplying a number by a sum, we can multiply the number by each term in the sum individually and then add the products together.

Similarly, to find the value of the expression 117 × 25 × 40, we can also use the distributive property.

Let's break down the equations step by step:

**Equation 1: 125 × 8 × 883**

Step 1: Multiply 125 by 8: 125 × 8 = 1000

Step 2: Multiply the result from step 1 by 883: 1000 × 883 = 883,000

Therefore, the value of the expression 125 × 8 × 883 is 883,000.

**Equation 2: 117 × 25 × 40**

Step 1: Multiply 117 by 25: 117 × 25 = 2925

Step 2: Multiply the result from step 1 by 40: 2925 × 40 = 117,000

Therefore, the value of the expression 117 × 25 × 40 is 117,000.

In both equations, we used the distributive property to simplify the multiplication by breaking it down into smaller steps. By multiplying each number individually and then adding the products together, we can find the final value of the expression.

The distributive property is a useful tool when dealing with multiplication of large numbers or when simplifying complex equations. It allows us to break down the multiplication process and work with smaller numbers, making the calculation easier and less prone to errors.

By following the steps outlined above, we can find the value of the given expressions using the distributive property.