Final answer:
The expression 2,816 x 7 evaluates to 19,712. This is calculated through a step-by-step multiplication process, carefully adding carry-over numbers to reach the final result.
Step-by-step explanation:
The student is asking for the value of the expression 2,816 multiplied by 7. To find the value of this multiplication, you perform the calculation step by step:
- Multiply the ones digit of the second number (7) by each digit of the first number (2,816).
- Add any carry-over numbers above the next digit to the left.
- Write down the result and make sure all the digits are added properly.
Performing this multiplication, the steps are as follows:
- 7 x 6 = 42, write down 2 and carry over 4.
- 7 x 1 = 7, add the carried over 4, which equals 11, write down 1 and carry over 1.
- 7 x 8 = 56, add the carried over 1, which equals 57, write down 7 and carry over 5.
- 7 x 2 = 14, add the carried over 5, which equals 19, write down 9 and 1 to the left since it's the final digit.
The final result of the multiplication is 19,712. When performing calculations such as these, it is important to keep track of the place value and ensure all carried numbers are added in the correct place.