Show me step by step how to solve this fourth grade math problem.---**Problem Description:** Multiply using partial products. Fill in the missing numbers. **Mathematical Calculation Layout:** ``` 95 x 39 ----- 2,700 150 810 + ____ (Input field 1) ----- ____ (Input field 2) ``` **Other Elements:** * Addition symbol (+) placed to the left of the line where the partial products are summed. * Two blank rectangular input fields. One is placed below the partial products, to the right of the addition symbol and above the final sum line. The second is placed below the final sum line. * Button labeled "Validate Answer".

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Welcome! Today we're going to solve a multiplication problem using the partial products method. We need to multiply 95 by 39. The partial products method breaks down the multiplication into smaller, more manageable steps by multiplying each place value separately. To use the partial products method, we first break down each number by place value. 95 can be broken down as 90 plus 5. And 39 can be broken down as 30 plus 9. This breakdown will help us multiply each part separately. Now, let's calculate each partial product by multiplying each part of 95 with each part of 39. First, we multiply 90 by 30, which gives us 2,700. Next, we multiply 5 by 30, which equals 150. Then, we multiply 90 by 9, which gives us 810. Finally, we multiply 5 by 9, which equals 45. These four calculations give us our partial products. Now that we have all our partial products, we need to add them together to find the final answer. First, we add 2,700 and 150, which gives us 2,850. Next, we add 2,850 and 810, which equals 3,660. Finally, we add 3,660 and 45, which gives us 3,705. So, the product of 95 and 39 is 3,705. Now, let's fill in the missing numbers in the original problem. Looking at our work, we can see that the missing partial product in the first input field is 45, which comes from multiplying 5 by 9. And the final product in the second input field is 3,705, which is the sum of all the partial products. These are the answers we need to complete the problem. Let's summarize what we've learned about the partial products method. This method breaks down multiplication into smaller, more manageable steps by working with place values. For our problem, we multiplied 95 by 39 by breaking them down into 90 plus 5 and 30 plus 9. We then calculated four partial products: 90 times 30 equals 2,700, 5 times 30 equals 150, 90 times 9 equals 810, and 5 times 9 equals 45. Adding all these partial products together gave us our final answer of 3,705. This method helps us better understand the multiplication process by showing how each digit contributes to the final product.