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Calculate the products for the following multiplication problems: (i) 3425 x 318, (ii) 1876 x 427, (iii) 2941 x 356, (iv) 1634 x 509.

Mathematics

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Here are the solutions for the multiplication problems:

Part i· 4 steps

Calculate 3425×3183425 \times 318.

  1. Multiply 3425 by 8.

    3425×8=274003425 \times 8 = 27400

  2. Multiply 3425 by 10.

    3425×10=342503425 \times 10 = 34250

  3. Multiply 3425 by 300.

    3425×300=10275003425 \times 300 = 1027500

  4. Add the results from Steps 1, 2, and 3.

    27400+34250+1027500=108915027400 + 34250 + 1027500 = 1089150

    The product is 1089150.

Part ii· 4 steps

Calculate 1876×4271876 \times 427.

  1. Multiply 1876 by 7.

    1876×7=131321876 \times 7 = 13132

  2. Multiply 1876 by 20.

    1876×20=375201876 \times 20 = 37520

  3. Multiply 1876 by 400.

    1876×400=7504001876 \times 400 = 750400

  4. Add the results from Steps 1, 2, and 3.

    13132+37520+750400=80105213132 + 37520 + 750400 = 801052

    The product is 801052.

Part iii· 4 steps

Calculate 2941×3562941 \times 356.

  1. Multiply 2941 by 6.

    2941×6=176462941 \times 6 = 17646

  2. Multiply 2941 by 50.

    2941×50=1470502941 \times 50 = 147050

  3. Multiply 2941 by 300.

    2941×300=8823002941 \times 300 = 882300

  4. Add the results from Steps 1, 2, and 3.

    17646+147050+882300=104699617646 + 147050 + 882300 = 1046996

    The product is 1046996.

Part iv· 4 steps

Calculate 1634×5091634 \times 509.

  1. Multiply 1634 by 9.

    1634×9=147061634 \times 9 = 14706

  2. Multiply 1634 by 0 (tens place).

    1634×0=01634 \times 0 = 0

  3. Multiply 1634 by 500.

    1634×500=8170001634 \times 500 = 817000

  4. Add the results from Steps 1, 2, and 3.

    14706+0+817000=83170614706 + 0 + 817000 = 831706

    The product is 831706.

    (i)1089150(ii)801052(iii)1046996(iv)831706\boxed{\begin{array}{ll} \text{(i)} & 1089150 \\ \text{(ii)} & 801052 \\ \text{(iii)} & 1046996 \\ \text{(iv)} & 831706 \end{array}}
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