The Correct Answer and Explanation is:
The correct answer is 35,568.
To solve the math problem presented, which asks for the product of 76 and 468, we perform multiplication. The term “product” is the result obtained when two or more numbers are multiplied together. A standard method for this calculation is long multiplication.
First, we can write the problem vertically, usually with the number having more digits on top:
468
x 76
The process is broken down into two main parts: multiplying 468 by each digit of 76 separately, and then adding the results, which are called partial products.
- Multiply 468 by 6 (the ones digit of 76):
We start from the rightmost digit of 468.- 6 × 8 = 48. Write down the 8 and carry over the 4.
- 6 × 6 = 36. Add the carried-over 4, which gives 40. Write down the 0 and carry over the 4.
- 6 × 4 = 24. Add the carried-over 4, which gives 28. Write down 28.
The first partial product is 2,808.
- Multiply 468 by 7 (the tens digit of 76):
Since the 7 is in the tens place, its value is 70. To reflect this, we place a zero as a placeholder in the ones column of our second partial product before we begin multiplying.- 7 × 8 = 56. Write down the 6 and carry over the 5.
- 7 × 6 = 42. Add the carried-over 5, which gives 47. Write down the 7 and carry over the 4.
- 7 × 4 = 28. Add the carried-over 4, which gives 32. Write down 32.
The second partial product is 32,760.
- Add the partial products:
Finally, we add the two results together to find the total product.
2,808- 32,760
Thus, the final product of 76 multiplied by 468 is 35,568.
