Let's roll up our sleeves and solve this. We have 101 and we're going to multiply it by 340, essentially adding 101 to itself 340 times.
Step 1: 0 + 101 = 101
Step 2: 101 + 101 = 202
Step 3: 202 + 101 = 303
Step 4: 303 + 101 = 404
Step 5: 404 + 101 = 505
Step 6: 505 + 101 = 606
Step 7: 606 + 101 = 707
Step 8: 707 + 101 = 808
Step 9: 808 + 101 = 909
Step 10: 909 + 101 = 1010
Step 11: 1010 + 101 = 1111
Step 12: 1111 + 101 = 1212
Step 13: 1212 + 101 = 1313
Step 14: 1313 + 101 = 1414
Step 15: 1414 + 101 = 1515
Step 16: 1515 + 101 = 1616
Step 17: 1616 + 101 = 1717
Step 18: 1717 + 101 = 1818
Step 19: 1818 + 101 = 1919
Step 20: 1919 + 101 = 2020
Step 21: 2020 + 101 = 2121
Step 22: 2121 + 101 = 2222
Step 23: 2222 + 101 = 2323
Step 24: 2323 + 101 = 2424
Step 25: 2424 + 101 = 2525
Step 26: 2525 + 101 = 2626
Step 27: 2626 + 101 = 2727
Step 28: 2727 + 101 = 2828
Step 29: 2828 + 101 = 2929
Step 30: 2929 + 101 = 3030
Step 31: 3030 + 101 = 3131
Step 32: 3131 + 101 = 3232
Step 33: 3232 + 101 = 3333
Step 34: 3333 + 101 = 3434
Step 35: 3434 + 101 = 3535
Step 36: 3535 + 101 = 3636
Step 37: 3636 + 101 = 3737
Step 38: 3737 + 101 = 3838
Step 39: 3838 + 101 = 3939
Step 40: 3939 + 101 = 4040
Step 41: 4040 + 101 = 4141
Step 42: 4141 + 101 = 4242
Step 43: 4242 + 101 = 4343
Step 44: 4343 + 101 = 4444
Step 45: 4444 + 101 = 4545
Step 46: 4545 + 101 = 4646
Step 47: 4646 + 101 = 4747
Step 48: 4747 + 101 = 4848
Step 49: 4848 + 101 = 4949
Step 50: 4949 + 101 = 5050
Step 51: 5050 + 101 = 5151
Step 52: 5151 + 101 = 5252
Step 53: 5252 + 101 = 5353
Step 54: 5353 + 101 = 5454
Step 55: 5454 + 101 = 5555
Step 56: 5555 + 101 = 5656
Step 57: 5656 + 101 = 5757
Step 58: 5757 + 101 = 5858
Step 59: 5858 + 101 = 5959
Step 60: 5959 + 101 = 6060
Step 61: 6060 + 101 = 6161
Step 62: 6161 + 101 = 6262
Step 63: 6262 + 101 = 6363
Step 64: 6363 + 101 = 6464
Step 65: 6464 + 101 = 6565
Step 66: 6565 + 101 = 6666
Step 67: 6666 + 101 = 6767
Step 68: 6767 + 101 = 6868
Step 69: 6868 + 101 = 6969
Step 70: 6969 + 101 = 7070
Step 71: 7070 + 101 = 7171
Step 72: 7171 + 101 = 7272
Step 73: 7272 + 101 = 7373
Step 74: 7373 + 101 = 7474
Step 75: 7474 + 101 = 7575
Step 76: 7575 + 101 = 7676
Step 77: 7676 + 101 = 7777
Step 78: 7777 + 101 = 7878
Step 79: 7878 + 101 = 7979
Step 80: 7979 + 101 = 8080
Step 81: 8080 + 101 = 8181
Step 82: 8181 + 101 = 8282
Step 83: 8282 + 101 = 8383
Step 84: 8383 + 101 = 8484
Step 85: 8484 + 101 = 8585
Step 86: 8585 + 101 = 8686
Step 87: 8686 + 101 = 8787
Step 88: 8787 + 101 = 8888
Step 89: 8888 + 101 = 8989
Step 90: 8989 + 101 = 9090
Step 91: 9090 + 101 = 9191
Step 92: 9191 + 101 = 9292
Step 93: 9292 + 101 = 9393
Step 94: 9393 + 101 = 9494
Step 95: 9494 + 101 = 9595
Step 96: 9595 + 101 = 9696
Step 97: 9696 + 101 = 9797
Step 98: 9797 + 101 = 9898
Step 99: 9898 + 101 = 9999
Step 100: 9999 + 101 = 10100
Step 101: 10100 + 101 = 10201
Step 102: 10201 + 101 = 10302
Step 103: 10302 + 101 = 10403
Step 104: 10403 + 101 = 10504
Step 105: 10504 + 101 = 10605
Step 106: 10605 + 101 = 10706
Step 107: 10706 + 101 = 10807
Step 108: 10807 + 101 = 10908
Step 109: 10908 + 101 = 11009
Step 110: 11009 + 101 = 11110
Step 111: 11110 + 101 = 11211
Step 112: 11211 + 101 = 11312
Step 113: 11312 + 101 = 11413
Step 114: 11413 + 101 = 11514
Step 115: 11514 + 101 = 11615
Step 116: 11615 + 101 = 11716
Step 117: 11716 + 101 = 11817
Step 118: 11817 + 101 = 11918
Step 119: 11918 + 101 = 12019
Step 120: 12019 + 101 = 12120
Step 121: 12120 + 101 = 12221
Step 122: 12221 + 101 = 12322
Step 123: 12322 + 101 = 12423
Step 124: 12423 + 101 = 12524
Step 125: 12524 + 101 = 12625
Step 126: 12625 + 101 = 12726
Step 127: 12726 + 101 = 12827
Step 128: 12827 + 101 = 12928
Step 129: 12928 + 101 = 13029
Step 130: 13029 + 101 = 13130
Step 131: 13130 + 101 = 13231
Step 132: 13231 + 101 = 13332
Step 133: 13332 + 101 = 13433
Step 134: 13433 + 101 = 13534
Step 135: 13534 + 101 = 13635
Step 136: 13635 + 101 = 13736
Step 137: 13736 + 101 = 13837
Step 138: 13837 + 101 = 13938
Step 139: 13938 + 101 = 14039
Step 140: 14039 + 101 = 14140
Step 141: 14140 + 101 = 14241
Step 142: 14241 + 101 = 14342
Step 143: 14342 + 101 = 14443
Step 144: 14443 + 101 = 14544
Step 145: 14544 + 101 = 14645
Step 146: 14645 + 101 = 14746
Step 147: 14746 + 101 = 14847
Step 148: 14847 + 101 = 14948
Step 149: 14948 + 101 = 15049
Step 150: 15049 + 101 = 15150
Step 151: 15150 + 101 = 15251
Step 152: 15251 + 101 = 15352
Step 153: 15352 + 101 = 15453
Step 154: 15453 + 101 = 15554
Step 155: 15554 + 101 = 15655
Step 156: 15655 + 101 = 15756
Step 157: 15756 + 101 = 15857
Step 158: 15857 + 101 = 15958
Step 159: 15958 + 101 = 16059
Step 160: 16059 + 101 = 16160
Step 161: 16160 + 101 = 16261
Step 162: 16261 + 101 = 16362
Step 163: 16362 + 101 = 16463
Step 164: 16463 + 101 = 16564
Step 165: 16564 + 101 = 16665
Step 166: 16665 + 101 = 16766
Step 167: 16766 + 101 = 16867
Step 168: 16867 + 101 = 16968
Step 169: 16968 + 101 = 17069
Step 170: 17069 + 101 = 17170
Step 171: 17170 + 101 = 17271
Step 172: 17271 + 101 = 17372
Step 173: 17372 + 101 = 17473
Step 174: 17473 + 101 = 17574
Step 175: 17574 + 101 = 17675
Step 176: 17675 + 101 = 17776
Step 177: 17776 + 101 = 17877
Step 178: 17877 + 101 = 17978
Step 179: 17978 + 101 = 18079
Step 180: 18079 + 101 = 18180
Step 181: 18180 + 101 = 18281
Step 182: 18281 + 101 = 18382
Step 183: 18382 + 101 = 18483
Step 184: 18483 + 101 = 18584
Step 185: 18584 + 101 = 18685
Step 186: 18685 + 101 = 18786
Step 187: 18786 + 101 = 18887
Step 188: 18887 + 101 = 18988
Step 189: 18988 + 101 = 19089
Step 190: 19089 + 101 = 19190
Step 191: 19190 + 101 = 19291
Step 192: 19291 + 101 = 19392
Step 193: 19392 + 101 = 19493
Step 194: 19493 + 101 = 19594
Step 195: 19594 + 101 = 19695
Step 196: 19695 + 101 = 19796
Step 197: 19796 + 101 = 19897
Step 198: 19897 + 101 = 19998
Step 199: 19998 + 101 = 20099
Step 200: 20099 + 101 = 20200
Step 201: 20200 + 101 = 20301
Step 202: 20301 + 101 = 20402
Step 203: 20402 + 101 = 20503
Step 204: 20503 + 101 = 20604
Step 205: 20604 + 101 = 20705
Step 206: 20705 + 101 = 20806
Step 207: 20806 + 101 = 20907
Step 208: 20907 + 101 = 21008
Step 209: 21008 + 101 = 21109
Step 210: 21109 + 101 = 21210
Step 211: 21210 + 101 = 21311
Step 212: 21311 + 101 = 21412
Step 213: 21412 + 101 = 21513
Step 214: 21513 + 101 = 21614
Step 215: 21614 + 101 = 21715
Step 216: 21715 + 101 = 21816
Step 217: 21816 + 101 = 21917
Step 218: 21917 + 101 = 22018
Step 219: 22018 + 101 = 22119
Step 220: 22119 + 101 = 22220
Step 221: 22220 + 101 = 22321
Step 222: 22321 + 101 = 22422
Step 223: 22422 + 101 = 22523
Step 224: 22523 + 101 = 22624
Step 225: 22624 + 101 = 22725
Step 226: 22725 + 101 = 22826
Step 227: 22826 + 101 = 22927
Step 228: 22927 + 101 = 23028
Step 229: 23028 + 101 = 23129
Step 230: 23129 + 101 = 23230
Step 231: 23230 + 101 = 23331
Step 232: 23331 + 101 = 23432
Step 233: 23432 + 101 = 23533
Step 234: 23533 + 101 = 23634
Step 235: 23634 + 101 = 23735
Step 236: 23735 + 101 = 23836
Step 237: 23836 + 101 = 23937
Step 238: 23937 + 101 = 24038
Step 239: 24038 + 101 = 24139
Step 240: 24139 + 101 = 24240
Step 241: 24240 + 101 = 24341
Step 242: 24341 + 101 = 24442
Step 243: 24442 + 101 = 24543
Step 244: 24543 + 101 = 24644
Step 245: 24644 + 101 = 24745
Step 246: 24745 + 101 = 24846
Step 247: 24846 + 101 = 24947
Step 248: 24947 + 101 = 25048
Step 249: 25048 + 101 = 25149
Step 250: 25149 + 101 = 25250
Step 251: 25250 + 101 = 25351
Step 252: 25351 + 101 = 25452
Step 253: 25452 + 101 = 25553
Step 254: 25553 + 101 = 25654
Step 255: 25654 + 101 = 25755
Step 256: 25755 + 101 = 25856
Step 257: 25856 + 101 = 25957
Step 258: 25957 + 101 = 26058
Step 259: 26058 + 101 = 26159
Step 260: 26159 + 101 = 26260
Step 261: 26260 + 101 = 26361
Step 262: 26361 + 101 = 26462
Step 263: 26462 + 101 = 26563
Step 264: 26563 + 101 = 26664
Step 265: 26664 + 101 = 26765
Step 266: 26765 + 101 = 26866
Step 267: 26866 + 101 = 26967
Step 268: 26967 + 101 = 27068
Step 269: 27068 + 101 = 27169
Step 270: 27169 + 101 = 27270
Step 271: 27270 + 101 = 27371
Step 272: 27371 + 101 = 27472
Step 273: 27472 + 101 = 27573
Step 274: 27573 + 101 = 27674
Step 275: 27674 + 101 = 27775
Step 276: 27775 + 101 = 27876
Step 277: 27876 + 101 = 27977
Step 278: 27977 + 101 = 28078
Step 279: 28078 + 101 = 28179
Step 280: 28179 + 101 = 28280
Step 281: 28280 + 101 = 28381
Step 282: 28381 + 101 = 28482
Step 283: 28482 + 101 = 28583
Step 284: 28583 + 101 = 28684
Step 285: 28684 + 101 = 28785
Step 286: 28785 + 101 = 28886
Step 287: 28886 + 101 = 28987
Step 288: 28987 + 101 = 29088
Step 289: 29088 + 101 = 29189
Step 290: 29189 + 101 = 29290
Step 291: 29290 + 101 = 29391
Step 292: 29391 + 101 = 29492
Step 293: 29492 + 101 = 29593
Step 294: 29593 + 101 = 29694
Step 295: 29694 + 101 = 29795
Step 296: 29795 + 101 = 29896
Step 297: 29896 + 101 = 29997
Step 298: 29997 + 101 = 30098
Step 299: 30098 + 101 = 30199
Step 300: 30199 + 101 = 30300
Step 301: 30300 + 101 = 30401
Step 302: 30401 + 101 = 30502
Step 303: 30502 + 101 = 30603
Step 304: 30603 + 101 = 30704
Step 305: 30704 + 101 = 30805
Step 306: 30805 + 101 = 30906
Step 307: 30906 + 101 = 31007
Step 308: 31007 + 101 = 31108
Step 309: 31108 + 101 = 31209
Step 310: 31209 + 101 = 31310
Step 311: 31310 + 101 = 31411
Step 312: 31411 + 101 = 31512
Step 313: 31512 + 101 = 31613
Step 314: 31613 + 101 = 31714
Step 315: 31714 + 101 = 31815
Step 316: 31815 + 101 = 31916
Step 317: 31916 + 101 = 32017
Step 318: 32017 + 101 = 32118
Step 319: 32118 + 101 = 32219
Step 320: 32219 + 101 = 32320
Step 321: 32320 + 101 = 32421
Step 322: 32421 + 101 = 32522
Step 323: 32522 + 101 = 32623
Step 324: 32623 + 101 = 32724
Step 325: 32724 + 101 = 32825
Step 326: 32825 + 101 = 32926
Step 327: 32926 + 101 = 33027
Step 328: 33027 + 101 = 33128
Step 329: 33128 + 101 = 33229
Step 330: 33229 + 101 = 33330
Step 331: 33330 + 101 = 33431
Step 332: 33431 + 101 = 33532
Step 333: 33532 + 101 = 33633
Step 334: 33633 + 101 = 33734
Step 335: 33734 + 101 = 33835
Step 336: 33835 + 101 = 33936
Step 337: 33936 + 101 = 34037
Step 338: 34037 + 101 = 34138
Step 339: 34138 + 101 = 34239
Step 340: 34239 + 101 = 34340

So, 101*340 = 34340