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Solve the following multiplication problems using the standard algorithm:

Mathematics

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Step-by-step solution

18 steps

Here are the solutions to the multiplication problems:

1) 72×3472 \times 34

  1. Multiply 72 by 4.

    72×4=28872 \times 4 = 288
  2. Multiply 72 by 30.

    72×30=216072 \times 30 = 2160
  3. Add the results.

    288+2160=2448288 + 2160 = 2448

    The final answer is 2448\boxed{2448}.

    2) 35×2635 \times 26

  4. Multiply 35 by 6.

    35×6=21035 \times 6 = 210
  5. Multiply 35 by 20.

    35×20=70035 \times 20 = 700
  6. Add the results.

    210+700=910210 + 700 = 910

    The final answer is 910\boxed{910}.

    3) 42×3742 \times 37

  7. Multiply 42 by 7.

    42×7=29442 \times 7 = 294
  8. Multiply 42 by 30.

    42×30=126042 \times 30 = 1260
  9. Add the results.

    294+1260=1554294 + 1260 = 1554

    The final answer is 1554\boxed{1554}.

    4) 46×3546 \times 35

  10. Multiply 46 by 5.

    46×5=23046 \times 5 = 230
  11. Multiply 46 by 30.

    46×30=138046 \times 30 = 1380
  12. Add the results.

    230+1380=1610230 + 1380 = 1610

    The final answer is 1610\boxed{1610}.

    5) 42×3642 \times 36

  13. Multiply 42 by 6.

    42×6=25242 \times 6 = 252
  14. Multiply 42 by 30.

    42×30=126042 \times 30 = 1260
  15. Add the results.

    252+1260=1512252 + 1260 = 1512

    The final answer is 1512\boxed{1512}.

    6) 48×5248 \times 52

  16. Multiply 48 by 2.

    48×2=9648 \times 2 = 96
  17. Multiply 48 by 50.

    48×50=240048 \times 50 = 2400
  18. Add the results.

    96+2400=249696 + 2400 = 2496

    The final answer is 2496\boxed{2496}.

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