OK, let's work through this together. We're starting with 497 and we're going to multiply it by 17, which means we add 497 to itself 17 times.
Step 1: 0 + 497 = 497
Step 2: 497 + 497 = 994
Step 3: 994 + 497 = 1491
Step 4: 1491 + 497 = 1988
Step 5: 1988 + 497 = 2485
Step 6: 2485 + 497 = 2982
Step 7: 2982 + 497 = 3479
Step 8: 3479 + 497 = 3976
Step 9: 3976 + 497 = 4473
Step 10: 4473 + 497 = 4970
Step 11: 4970 + 497 = 5467
Step 12: 5467 + 497 = 5964
Step 13: 5964 + 497 = 6461
Step 14: 6461 + 497 = 6958
Step 15: 6958 + 497 = 7455
Step 16: 7455 + 497 = 7952
Step 17: 7952 + 497 = 8449

So, 497*17 = 8449