This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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\begin{array}{ll} (i) & 1089150 \ (ii) & 801052 \ (iii) & 1046996 \ (iv) & 831706 \end{array}
Here are the solutions for the multiplication problems:
i) Calculate . Step 1: Multiply 3425 by 8. Step 2: Multiply 3425 by 10. Step 3: Multiply 3425 by 300. Step 4: Add the results from Steps 1, 2, and 3. The product is 1089150.
ii) Calculate . Step 1: Multiply 1876 by 7. Step 2: Multiply 1876 by 20. Step 3: Multiply 1876 by 400. Step 4: Add the results from Steps 1, 2, and 3. The product is 801052.
iii) Calculate . Step 1: Multiply 2941 by 6. Step 2: Multiply 2941 by 50. Step 3: Multiply 2941 by 300. Step 4: Add the results from Steps 1, 2, and 3. The product is 1046996.
iv) Calculate . Step 1: Multiply 1634 by 9. Step 2: Multiply 1634 by 0 (tens place). Step 3: Multiply 1634 by 500. Step 4: Add the results from Steps 1, 2, and 3. The product is 831706.
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i) Calculate 3425 × 318. Step 1: Multiply 3425 by 8.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.