Alright, let's solve this math problem step by step. First, we have the number 684. Next, we see the multiplication sign, which means we need to multiply something. And what are we multiplying it by? We multiply it by 412. So, we're going to take the number 684 and add it to itself 412 times.
Step 1: 0 + 684 = 684
Step 2: 684 + 684 = 1368
Step 3: 1368 + 684 = 2052
Step 4: 2052 + 684 = 2736
Step 5: 2736 + 684 = 3420
Step 6: 3420 + 684 = 4104
Step 7: 4104 + 684 = 4788
Step 8: 4788 + 684 = 5472
Step 9: 5472 + 684 = 6156
Step 10: 6156 + 684 = 6840
Step 11: 6840 + 684 = 7524
Step 12: 7524 + 684 = 8208
Step 13: 8208 + 684 = 8892
Step 14: 8892 + 684 = 9576
Step 15: 9576 + 684 = 10260
Step 16: 10260 + 684 = 10944
Step 17: 10944 + 684 = 11628
Step 18: 11628 + 684 = 12312
Step 19: 12312 + 684 = 12996
Step 20: 12996 + 684 = 13680
Step 21: 13680 + 684 = 14364
Step 22: 14364 + 684 = 15048
Step 23: 15048 + 684 = 15732
Step 24: 15732 + 684 = 16416
Step 25: 16416 + 684 = 17100
Step 26: 17100 + 684 = 17784
Step 27: 17784 + 684 = 18468
Step 28: 18468 + 684 = 19152
Step 29: 19152 + 684 = 19836
Step 30: 19836 + 684 = 20520
Step 31: 20520 + 684 = 21204
Step 32: 21204 + 684 = 21888
Step 33: 21888 + 684 = 22572
Step 34: 22572 + 684 = 23256
Step 35: 23256 + 684 = 23940
Step 36: 23940 + 684 = 24624
Step 37: 24624 + 684 = 25308
Step 38: 25308 + 684 = 25992
Step 39: 25992 + 684 = 26676
Step 40: 26676 + 684 = 27360
Step 41: 27360 + 684 = 28044
Step 42: 28044 + 684 = 28728
Step 43: 28728 + 684 = 29412
Step 44: 29412 + 684 = 30096
Step 45: 30096 + 684 = 30780
Step 46: 30780 + 684 = 31464
Step 47: 31464 + 684 = 32148
Step 48: 32148 + 684 = 32832
Step 49: 32832 + 684 = 33516
Step 50: 33516 + 684 = 34200
Step 51: 34200 + 684 = 34884
Step 52: 34884 + 684 = 35568
Step 53: 35568 + 684 = 36252
Step 54: 36252 + 684 = 36936
Step 55: 36936 + 684 = 37620
Step 56: 37620 + 684 = 38304
Step 57: 38304 + 684 = 38988
Step 58: 38988 + 684 = 39672
Step 59: 39672 + 684 = 40356
Step 60: 40356 + 684 = 41040
Step 61: 41040 + 684 = 41724
Step 62: 41724 + 684 = 42408
Step 63: 42408 + 684 = 43092
Step 64: 43092 + 684 = 43776
Step 65: 43776 + 684 = 44460
Step 66: 44460 + 684 = 45144
Step 67: 45144 + 684 = 45828
Step 68: 45828 + 684 = 46512
Step 69: 46512 + 684 = 47196
Step 70: 47196 + 684 = 47880
Step 71: 47880 + 684 = 48564
Step 72: 48564 + 684 = 49248
Step 73: 49248 + 684 = 49932
Step 74: 49932 + 684 = 50616
Step 75: 50616 + 684 = 51300
Step 76: 51300 + 684 = 51984
Step 77: 51984 + 684 = 52668
Step 78: 52668 + 684 = 53352
Step 79: 53352 + 684 = 54036
Step 80: 54036 + 684 = 54720
Step 81: 54720 + 684 = 55404
Step 82: 55404 + 684 = 56088
Step 83: 56088 + 684 = 56772
Step 84: 56772 + 684 = 57456
Step 85: 57456 + 684 = 58140
Step 86: 58140 + 684 = 58824
Step 87: 58824 + 684 = 59508
Step 88: 59508 + 684 = 60192
Step 89: 60192 + 684 = 60876
Step 90: 60876 + 684 = 61560
Step 91: 61560 + 684 = 62244
Step 92: 62244 + 684 = 62928
Step 93: 62928 + 684 = 63612
Step 94: 63612 + 684 = 64296
Step 95: 64296 + 684 = 64980
Step 96: 64980 + 684 = 65664
Step 97: 65664 + 684 = 66348
Step 98: 66348 + 684 = 67032
Step 99: 67032 + 684 = 67716
Step 100: 67716 + 684 = 68400
Step 101: 68400 + 684 = 69084
Step 102: 69084 + 684 = 69768
Step 103: 69768 + 684 = 70452
Step 104: 70452 + 684 = 71136
Step 105: 71136 + 684 = 71820
Step 106: 71820 + 684 = 72504
Step 107: 72504 + 684 = 73188
Step 108: 73188 + 684 = 73872
Step 109: 73872 + 684 = 74556
Step 110: 74556 + 684 = 75240
Step 111: 75240 + 684 = 75924
Step 112: 75924 + 684 = 76608
Step 113: 76608 + 684 = 77292
Step 114: 77292 + 684 = 77976
Step 115: 77976 + 684 = 78660
Step 116: 78660 + 684 = 79344
Step 117: 79344 + 684 = 80028
Step 118: 80028 + 684 = 80712
Step 119: 80712 + 684 = 81396
Step 120: 81396 + 684 = 82080
Step 121: 82080 + 684 = 82764
Step 122: 82764 + 684 = 83448
Step 123: 83448 + 684 = 84132
Step 124: 84132 + 684 = 84816
Step 125: 84816 + 684 = 85500
Step 126: 85500 + 684 = 86184
Step 127: 86184 + 684 = 86868
Step 128: 86868 + 684 = 87552
Step 129: 87552 + 684 = 88236
Step 130: 88236 + 684 = 88920
Step 131: 88920 + 684 = 89604
Step 132: 89604 + 684 = 90288
Step 133: 90288 + 684 = 90972
Step 134: 90972 + 684 = 91656
Step 135: 91656 + 684 = 92340
Step 136: 92340 + 684 = 93024
Step 137: 93024 + 684 = 93708
Step 138: 93708 + 684 = 94392
Step 139: 94392 + 684 = 95076
Step 140: 95076 + 684 = 95760
Step 141: 95760 + 684 = 96444
Step 142: 96444 + 684 = 97128
Step 143: 97128 + 684 = 97812
Step 144: 97812 + 684 = 98496
Step 145: 98496 + 684 = 99180
Step 146: 99180 + 684 = 99864
Step 147: 99864 + 684 = 100548
Step 148: 100548 + 684 = 101232
Step 149: 101232 + 684 = 101916
Step 150: 101916 + 684 = 102600
Step 151: 102600 + 684 = 103284
Step 152: 103284 + 684 = 103968
Step 153: 103968 + 684 = 104652
Step 154: 104652 + 684 = 105336
Step 155: 105336 + 684 = 106020
Step 156: 106020 + 684 = 106704
Step 157: 106704 + 684 = 107388
Step 158: 107388 + 684 = 108072
Step 159: 108072 + 684 = 108756
Step 160: 108756 + 684 = 109440
Step 161: 109440 + 684 = 110124
Step 162: 110124 + 684 = 110808
Step 163: 110808 + 684 = 111492
Step 164: 111492 + 684 = 112176
Step 165: 112176 + 684 = 112860
Step 166: 112860 + 684 = 113544
Step 167: 113544 + 684 = 114228
Step 168: 114228 + 684 = 114912
Step 169: 114912 + 684 = 115596
Step 170: 115596 + 684 = 116280
Step 171: 116280 + 684 = 116964
Step 172: 116964 + 684 = 117648
Step 173: 117648 + 684 = 118332
Step 174: 118332 + 684 = 119016
Step 175: 119016 + 684 = 119700
Step 176: 119700 + 684 = 120384
Step 177: 120384 + 684 = 121068
Step 178: 121068 + 684 = 121752
Step 179: 121752 + 684 = 122436
Step 180: 122436 + 684 = 123120
Step 181: 123120 + 684 = 123804
Step 182: 123804 + 684 = 124488
Step 183: 124488 + 684 = 125172
Step 184: 125172 + 684 = 125856
Step 185: 125856 + 684 = 126540
Step 186: 126540 + 684 = 127224
Step 187: 127224 + 684 = 127908
Step 188: 127908 + 684 = 128592
Step 189: 128592 + 684 = 129276
Step 190: 129276 + 684 = 129960
Step 191: 129960 + 684 = 130644
Step 192: 130644 + 684 = 131328
Step 193: 131328 + 684 = 132012
Step 194: 132012 + 684 = 132696
Step 195: 132696 + 684 = 133380
Step 196: 133380 + 684 = 134064
Step 197: 134064 + 684 = 134748
Step 198: 134748 + 684 = 135432
Step 199: 135432 + 684 = 136116
Step 200: 136116 + 684 = 136800
Step 201: 136800 + 684 = 137484
Step 202: 137484 + 684 = 138168
Step 203: 138168 + 684 = 138852
Step 204: 138852 + 684 = 139536
Step 205: 139536 + 684 = 140220
Step 206: 140220 + 684 = 140904
Step 207: 140904 + 684 = 141588
Step 208: 141588 + 684 = 142272
Step 209: 142272 + 684 = 142956
Step 210: 142956 + 684 = 143640
Step 211: 143640 + 684 = 144324
Step 212: 144324 + 684 = 145008
Step 213: 145008 + 684 = 145692
Step 214: 145692 + 684 = 146376
Step 215: 146376 + 684 = 147060
Step 216: 147060 + 684 = 147744
Step 217: 147744 + 684 = 148428
Step 218: 148428 + 684 = 149112
Step 219: 149112 + 684 = 149796
Step 220: 149796 + 684 = 150480
Step 221: 150480 + 684 = 151164
Step 222: 151164 + 684 = 151848
Step 223: 151848 + 684 = 152532
Step 224: 152532 + 684 = 153216
Step 225: 153216 + 684 = 153900
Step 226: 153900 + 684 = 154584
Step 227: 154584 + 684 = 155268
Step 228: 155268 + 684 = 155952
Step 229: 155952 + 684 = 156636
Step 230: 156636 + 684 = 157320
Step 231: 157320 + 684 = 158004
Step 232: 158004 + 684 = 158688
Step 233: 158688 + 684 = 159372
Step 234: 159372 + 684 = 160056
Step 235: 160056 + 684 = 160740
Step 236: 160740 + 684 = 161424
Step 237: 161424 + 684 = 162108
Step 238: 162108 + 684 = 162792
Step 239: 162792 + 684 = 163476
Step 240: 163476 + 684 = 164160
Step 241: 164160 + 684 = 164844
Step 242: 164844 + 684 = 165528
Step 243: 165528 + 684 = 166212
Step 244: 166212 + 684 = 166896
Step 245: 166896 + 684 = 167580
Step 246: 167580 + 684 = 168264
Step 247: 168264 + 684 = 168948
Step 248: 168948 + 684 = 169632
Step 249: 169632 + 684 = 170316
Step 250: 170316 + 684 = 171000
Step 251: 171000 + 684 = 171684
Step 252: 171684 + 684 = 172368
Step 253: 172368 + 684 = 173052
Step 254: 173052 + 684 = 173736
Step 255: 173736 + 684 = 174420
Step 256: 174420 + 684 = 175104
Step 257: 175104 + 684 = 175788
Step 258: 175788 + 684 = 176472
Step 259: 176472 + 684 = 177156
Step 260: 177156 + 684 = 177840
Step 261: 177840 + 684 = 178524
Step 262: 178524 + 684 = 179208
Step 263: 179208 + 684 = 179892
Step 264: 179892 + 684 = 180576
Step 265: 180576 + 684 = 181260
Step 266: 181260 + 684 = 181944
Step 267: 181944 + 684 = 182628
Step 268: 182628 + 684 = 183312
Step 269: 183312 + 684 = 183996
Step 270: 183996 + 684 = 184680
Step 271: 184680 + 684 = 185364
Step 272: 185364 + 684 = 186048
Step 273: 186048 + 684 = 186732
Step 274: 186732 + 684 = 187416
Step 275: 187416 + 684 = 188100
Step 276: 188100 + 684 = 188784
Step 277: 188784 + 684 = 189468
Step 278: 189468 + 684 = 190152
Step 279: 190152 + 684 = 190836
Step 280: 190836 + 684 = 191520
Step 281: 191520 + 684 = 192204
Step 282: 192204 + 684 = 192888
Step 283: 192888 + 684 = 193572
Step 284: 193572 + 684 = 194256
Step 285: 194256 + 684 = 194940
Step 286: 194940 + 684 = 195624
Step 287: 195624 + 684 = 196308
Step 288: 196308 + 684 = 196992
Step 289: 196992 + 684 = 197676
Step 290: 197676 + 684 = 198360
Step 291: 198360 + 684 = 199044
Step 292: 199044 + 684 = 199728
Step 293: 199728 + 684 = 200412
Step 294: 200412 + 684 = 201096
Step 295: 201096 + 684 = 201780
Step 296: 201780 + 684 = 202464
Step 297: 202464 + 684 = 203148
Step 298: 203148 + 684 = 203832
Step 299: 203832 + 684 = 204516
Step 300: 204516 + 684 = 205200
Step 301: 205200 + 684 = 205884
Step 302: 205884 + 684 = 206568
Step 303: 206568 + 684 = 207252
Step 304: 207252 + 684 = 207936
Step 305: 207936 + 684 = 208620
Step 306: 208620 + 684 = 209304
Step 307: 209304 + 684 = 209988
Step 308: 209988 + 684 = 210672
Step 309: 210672 + 684 = 211356
Step 310: 211356 + 684 = 212040
Step 311: 212040 + 684 = 212724
Step 312: 212724 + 684 = 213408
Step 313: 213408 + 684 = 214092
Step 314: 214092 + 684 = 214776
Step 315: 214776 + 684 = 215460
Step 316: 215460 + 684 = 216144
Step 317: 216144 + 684 = 216828
Step 318: 216828 + 684 = 217512
Step 319: 217512 + 684 = 218196
Step 320: 218196 + 684 = 218880
Step 321: 218880 + 684 = 219564
Step 322: 219564 + 684 = 220248
Step 323: 220248 + 684 = 220932
Step 324: 220932 + 684 = 221616
Step 325: 221616 + 684 = 222300
Step 326: 222300 + 684 = 222984
Step 327: 222984 + 684 = 223668
Step 328: 223668 + 684 = 224352
Step 329: 224352 + 684 = 225036
Step 330: 225036 + 684 = 225720
Step 331: 225720 + 684 = 226404
Step 332: 226404 + 684 = 227088
Step 333: 227088 + 684 = 227772
Step 334: 227772 + 684 = 228456
Step 335: 228456 + 684 = 229140
Step 336: 229140 + 684 = 229824
Step 337: 229824 + 684 = 230508
Step 338: 230508 + 684 = 231192
Step 339: 231192 + 684 = 231876
Step 340: 231876 + 684 = 232560
Step 341: 232560 + 684 = 233244
Step 342: 233244 + 684 = 233928
Step 343: 233928 + 684 = 234612
Step 344: 234612 + 684 = 235296
Step 345: 235296 + 684 = 235980
Step 346: 235980 + 684 = 236664
Step 347: 236664 + 684 = 237348
Step 348: 237348 + 684 = 238032
Step 349: 238032 + 684 = 238716
Step 350: 238716 + 684 = 239400
Step 351: 239400 + 684 = 240084
Step 352: 240084 + 684 = 240768
Step 353: 240768 + 684 = 241452
Step 354: 241452 + 684 = 242136
Step 355: 242136 + 684 = 242820
Step 356: 242820 + 684 = 243504
Step 357: 243504 + 684 = 244188
Step 358: 244188 + 684 = 244872
Step 359: 244872 + 684 = 245556
Step 360: 245556 + 684 = 246240
Step 361: 246240 + 684 = 246924
Step 362: 246924 + 684 = 247608
Step 363: 247608 + 684 = 248292
Step 364: 248292 + 684 = 248976
Step 365: 248976 + 684 = 249660
Step 366: 249660 + 684 = 250344
Step 367: 250344 + 684 = 251028
Step 368: 251028 + 684 = 251712
Step 369: 251712 + 684 = 252396
Step 370: 252396 + 684 = 253080
Step 371: 253080 + 684 = 253764
Step 372: 253764 + 684 = 254448
Step 373: 254448 + 684 = 255132
Step 374: 255132 + 684 = 255816
Step 375: 255816 + 684 = 256500
Step 376: 256500 + 684 = 257184
Step 377: 257184 + 684 = 257868
Step 378: 257868 + 684 = 258552
Step 379: 258552 + 684 = 259236
Step 380: 259236 + 684 = 259920
Step 381: 259920 + 684 = 260604
Step 382: 260604 + 684 = 261288
Step 383: 261288 + 684 = 261972
Step 384: 261972 + 684 = 262656
Step 385: 262656 + 684 = 263340
Step 386: 263340 + 684 = 264024
Step 387: 264024 + 684 = 264708
Step 388: 264708 + 684 = 265392
Step 389: 265392 + 684 = 266076
Step 390: 266076 + 684 = 266760
Step 391: 266760 + 684 = 267444
Step 392: 267444 + 684 = 268128
Step 393: 268128 + 684 = 268812
Step 394: 268812 + 684 = 269496
Step 395: 269496 + 684 = 270180
Step 396: 270180 + 684 = 270864
Step 397: 270864 + 684 = 271548
Step 398: 271548 + 684 = 272232
Step 399: 272232 + 684 = 272916
Step 400: 272916 + 684 = 273600
Step 401: 273600 + 684 = 274284
Step 402: 274284 + 684 = 274968
Step 403: 274968 + 684 = 275652
Step 404: 275652 + 684 = 276336
Step 405: 276336 + 684 = 277020
Step 406: 277020 + 684 = 277704
Step 407: 277704 + 684 = 278388
Step 408: 278388 + 684 = 279072
Step 409: 279072 + 684 = 279756
Step 410: 279756 + 684 = 280440
Step 411: 280440 + 684 = 281124
Step 412: 281124 + 684 = 281808

So, 684*412 = 281808