Let's roll up our sleeves and solve this. We have 174 and we're going to multiply it by 10, essentially adding 174 to itself 10 times.
Step 1: 0 + 174 = 174
Step 2: 174 + 174 = 348
Step 3: 348 + 174 = 522
Step 4: 522 + 174 = 696
Step 5: 696 + 174 = 870
Step 6: 870 + 174 = 1044
Step 7: 1044 + 174 = 1218
Step 8: 1218 + 174 = 1392
Step 9: 1392 + 174 = 1566
Step 10: 1566 + 174 = 1740

So, 174*10 = 1740