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Solve the following multiplication problems. Show your work for each.

Mathematics

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Step-by-step solution

20 steps

Here are the answers for the multiplication exercise:

  • Yellow: 30×8030 \times 80
  1. Multiply the non-zero digits.

    $$
    3 \times 8 = 24
    $$
    
  2. Add the total number of zeros from the original numbers.

    $$
    2400
    $$
    The answer is $\boxed{2400}$.
    
    • Green: 10×4010 \times 40
  3. Multiply the non-zero digits.

    $$
    1 \times 4 = 4
    $$
    
  4. Add the total number of zeros from the original numbers.

    $$
    400
    $$
    The answer is $\boxed{400}$.
    
    • Blue: 50×4050 \times 40
  5. Multiply the non-zero digits.

    $$
    5 \times 4 = 20
    $$
    
  6. Add the total number of zeros from the original numbers.

    $$
    2000
    $$
    The answer is $\boxed{2000}$.
    
    • Pink: 20×7020 \times 70
  7. Multiply the non-zero digits.

    $$
    2 \times 7 = 14
    $$
    
  8. Add the total number of zeros from the original numbers.

    $$
    1400
    $$
    The answer is $\boxed{1400}$.
    
    • Purple: 90×3090 \times 30
  9. Multiply the non-zero digits.

    $$
    9 \times 3 = 27
    $$
    
  10. Add the total number of zeros from the original numbers.

    $$
    2700
    $$
    The answer is $\boxed{2700}$.
    
    • Yellow: 50×5050 \times 50
  11. Multiply the non-zero digits.

    $$
    5 \times 5 = 25
    $$
    
  12. Add the total number of zeros from the original numbers.

    $$
    2500
    $$
    The answer is $\boxed{2500}$.
    
    • Green: 20×1020 \times 10
  13. Multiply the non-zero digits.

    $$
    2 \times 1 = 2
    $$
    
  14. Add the total number of zeros from the original numbers.

    $$
    200
    $$
    The answer is $\boxed{200}$.
    
    • Blue: 30×930 \times 9
  15. Multiply the non-zero digits.

    $$
    3 \times 9 = 27
    $$
    
  16. Add the total number of zeros from the original numbers.

    $$
    270
    $$
    The answer is $\boxed{270}$.
    
    • Cyan: 60×2060 \times 20
  17. Multiply the non-zero digits.

    $$
    6 \times 2 = 12
    $$
    
  18. Add the total number of zeros from the original numbers.

    $$
    1200
    $$
    The answer is $\boxed{1200}$.
    
    • Purple: 80×6080 \times 60
  19. Multiply the non-zero digits.

    $$
    8 \times 6 = 48
    $$
    
  20. Add the total number of zeros from the original numbers.

    $$
    4800
    $$
    The answer is $\boxed{4800}$.
    
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