In this scenario, Josh claimed that 64 x 63 equals 612. However, Ava disagreed with Josh and stated that the correct answer should be 67.
To determine who is correct, we can actually calculate the multiplication of 64 by 63 step by step:
1. Multiply 4 (the ones digit of 64) by 3 (the ones digit of 63) which equals 12. Write down 2 and carry over 1.
2. Multiply 4 (the ones digit of 64) by 6 (the tens digit of 63) which equals 24. Add the carried over 1, making it 25. Write down 5 and carry over 2.
3. Multiply 6 (the tens digit of 64) by 3 (the ones digit of 63) which equals 18. Add the carried over 2, making it 20. Write down 0 and carry over 2.
4. Multiply 6 (the tens digit of 64) by 6 (the tens digit of 63) which equals 36. Add the carried over 2, making it 38. Write down 38.
Now, combine all these results: 38, 0, 25, 2 which equals 4032.
Hence, the correct answer is 64 x 63 = 4032, not 612 or 67.
