What is 76 times 468
The correct answer and explanation is:
The product of 76 and 468 is 35,488.
To multiply 76 by 468, you can break the calculation into smaller, more manageable steps. First, express 468 as the sum of 400, 60, and 8:
- 76 × 400 = 30,400
- 76 × 60 = 4,560
- 76 × 8 = 608
Now, add all these results together:
- 30,400 + 4,560 + 608 = 35,488
This method is based on the distributive property, which states that you can break a multiplication problem into simpler components. By multiplying each part of the second number (468) with the first number (76), you make the process easier to handle.
You could also verify this result using a calculator or by performing long multiplication. Long multiplication involves multiplying each digit in one number by each digit in the other, carrying over any remainders to the next place value.
For example:
- Multiply 76 by 8 (ones place of 468) to get 608.
- Multiply 76 by 60 (tens place of 468) to get 4,560.
- Multiply 76 by 400 (hundreds place of 468) to get 30,400.
Then, sum these partial products, which will also give you the final answer of 35,488.
Both methods ultimately yield the same result. The distributive approach makes it easier to understand the multiplication process and can be especially helpful for large numbers or for mental math.