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Solve these multiplication problems using the distributive property: 1) 46 x 5 2) 73 x 8

Mathematics

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Step-by-step solution

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Here are the solutions to the multiplication problems:

1) 46×546 \times 5

  1. Break down 46 into its tens and ones components.

    46=40+646 = 40 + 6

  2. Multiply the ones digit by 5.

    6×5=306 \times 5 = 30

  3. Multiply the tens digit by 5.

    40×5=20040 \times 5 = 200

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

    30+200=23030 + 200 = 230

    The final answer is 230\boxed{\text{230}}.

    2) 73×873 \times 8

  5. Break down 73 into its tens and ones components.

    73=70+373 = 70 + 3

  6. Multiply the ones digit by 8.

    3×8=243 \times 8 = 24

  7. Multiply the tens digit by 8.

    70×8=56070 \times 8 = 560

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

    24+560=58424 + 560 = 584

    The final answer is 584\boxed{\text{584}}.

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