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Calculate the products for the following multiplication problems using the expanded form method: a) 2638 x 37, b) 4857 x 98, c) 76597 x 359, d) 38976 x 562, e) 53847 x 485

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8 parts
a

192574\text{192574}

b

475986\text{475986}

c

27498323\text{27498323}

d

21904512\text{21904512}

e

26115795\text{26115795}

f

19513008\text{19513008}

g

7665540\text{7665540}

h

31409784\text{31409784}

Step-by-step solution

32 steps

Here are the products for each multiplication problem:

Part a· 3 steps

  1. Multiply 2638 by 3.

    2638×3=79142638 \times 3 = 7914

  2. Multiply 2638 by 70.

    2638×70=1846602638 \times 70 = 184660

  3. Add the results from Step 1 and Step 2.

    7914+184660=1925747914 + 184660 = 192574

    The product is 192574\boxed{\text{192574}}.

Part b

475986\text{475986}

  1. Multiply 4857 by 8.

    4857×8=388564857 \times 8 = 38856

  2. Multiply 4857 by 90.

    4857×90=4371304857 \times 90 = 437130

  3. Add the results from Step 1 and Step 2.

    38856+437130=47598638856 + 437130 = 475986

    The product is 475986\boxed{\text{475986}}.

Part c

27498323\text{27498323}

  1. Multiply 76597 by 9.

    76597×9=68937376597 \times 9 = 689373

  2. Multiply 76597 by 50.

    76597×50=382985076597 \times 50 = 3829850

  3. Multiply 76597 by 300.

    76597×300=2297910076597 \times 300 = 22979100

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

    689373+3829850+22979100=27498323689373 + 3829850 + 22979100 = 27498323

    The product is 27498323\boxed{\text{27498323}}.

Part d

21904512\text{21904512}

  1. Multiply 38976 by 2.

    38976×2=7795238976 \times 2 = 77952

  2. Multiply 38976 by 60.

    38976×60=233856038976 \times 60 = 2338560

  3. Multiply 38976 by 500.

    38976×500=1948800038976 \times 500 = 19488000

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

    77952+2338560+19488000=2190451277952 + 2338560 + 19488000 = 21904512

    The product is 21904512\boxed{\text{21904512}}.

Part e

26115795\text{26115795}

  1. Multiply 53847 by 5.

    53847×5=26923553847 \times 5 = 269235

  2. Multiply 53847 by 80.

    53847×80=430776053847 \times 80 = 4307760

  3. Multiply 53847 by 400.

    53847×400=2153880053847 \times 400 = 21538800

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

    269235+4307760+21538800=26115795269235 + 4307760 + 21538800 = 26115795

    The product is 26115795\boxed{\text{26115795}}.

Part f

19513008\text{19513008}

  1. Multiply 63768 by 6.

    63768×6=38260863768 \times 6 = 382608

  2. Multiply 63768 by 0 (tens place).

    63768×0=063768 \times 0 = 0

  3. Multiply 63768 by 300.

    63768×300=1913040063768 \times 300 = 19130400

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

    382608+0+19130400=19513008382608 + 0 + 19130400 = 19513008

    The product is 19513008\boxed{\text{19513008}}.

Part g

7665540\text{7665540}

  1. Multiply 3765 by 6.

    3765×6=225903765 \times 6 = 22590

  2. Multiply 3765 by 30.

    3765×30=1129503765 \times 30 = 112950

  3. Multiply 3765 by 0 (hundreds place).

    3765×0=03765 \times 0 = 0

  4. Multiply 3765 by 2000.

    3765×2000=75300003765 \times 2000 = 7530000

  5. Add the results from Step 1, Step 2, Step 3, and Step 4.

    22590+112950+0+7530000=766554022590 + 112950 + 0 + 7530000 = 7665540

    The product is 7665540\boxed{\text{7665540}}.

Part h

31409784\text{31409784}

  1. Multiply 8596 by 4.

    8596×4=343848596 \times 4 = 34384

  2. Multiply 8596 by 50.

    8596×50=4298008596 \times 50 = 429800

  3. Multiply 8596 by 600.

    8596×600=51576008596 \times 600 = 5157600

  4. Multiply 8596 by 3000.

    8596×3000=257880008596 \times 3000 = 25788000

  5. Add the results from Step 1, Step 2, Step 3, and Step 4.

    34384+429800+5157600+25788000=3140978434384 + 429800 + 5157600 + 25788000 = 31409784

    The product is 31409784\boxed{\text{31409784}}.

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