Final answer:
None of the provided options (a) 562, (b) 94, (c) 583, or (d) 9714, correctly show the result of multiplying 74 by 8 using the standard algorithm. The correct answer should be 592.
Step-by-step explanation:
The question asks which of the provided options correctly multiplies 74 by 8 using the standard algorithm. The standard algorithm for multiplication involves multiplying each digit of the first number by each digit of the second number, aligning the results according to their place value, and then adding them together. The steps are as follows:
- Multiply the 4 (in the ones place of 74) by 8, which equals 32. Write down the 2 and carry the 3.
- Multiply the 7 (in the tens place of 74) by 8, which equals 56, and then add the 3 that was carried over, which equals 59.
- Write down the 59 to the left of the 2, forming the final answer of 592.
Thus, the correct answer is not listed among the provided options (a) 562, (b) 94, (c) 583, or (d) 9714, as none of these represent 74 multiplied by 8.