Question 1 - Page 144 - Fast Multiplications Using the Distributive Property - Chapter 6 Class 8 - We Distribute yet things Multiply (Ganita Prakash)

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Question 1 - Page 144 Describe a general rule to multiply a number (of any number of digits) by 11 and write the product in one line. Evaluate (i) 94 × 11We follow these steps Step 1: The Right End. Copy the last digit down. The last digit is 4. Write 4. (Current Answer: _ _ 4) Step 2: Add Neighbors (moving left). Add the last digit (4) to its neighbor (9). 9 + 4 = 13. Write down 3 and carry over the 1. (Current Answer: _ 34) Step 3: The Left End. Take the first digit (9). Add the carry (1). 9 + 1 = 10 Thus, final answer is 1034 Question 1 - Page 144 Evaluate (ii) 495 × 11We follow these steps Step 1: The Right End. Copy the last digit down. The last digit is 5. Write 5. (Current Answer: _ _ _ 5) Step 2: Add Neighbors (moving left). Add the last digit (5) to its neighbor (9). 5 + 9 = 14. Write down 4 and carry over the 1. (Current Answer: _ _ 45) Step 3: Keep Moving Left. Add the next neighbors: 9 + 4. 9 + 4 = 13. Add the carry (1) = 14. Write down 4 and carry over the 1. (Current Answer: _ 445) Step 4: The Left End. Take the first digit (4). Add the carry (1). 4 + 1 = 5. Thus, final answer is 5445 Question 1 - Page 144 Evaluate (iii) 3279 × 11We follow these steps Step 1: The Right End. Copy the last digit down. The last digit is 9. Write 9. (Current Answer: _ _ _ _ 9) Step 2: Add Neighbors (moving left). Add the last digit (9) to its neighbor (7). 9 + 7 = 16. Write down 6 and carry over the 1. (Current Answer: _ _ _ 69) Step 3: Keep Moving Left. Add the next neighbors: 7 + 2. 7 + 2 = 9. Add the carry (1) = 10. Write down 0 and carry over the 1. (Current Answer: _ _ 069) Step 4: Keep Moving Left. Add the next neighbors: 2 + 3. 2 + 3 = 5. Add the carry (1) = 6. Write down 6. (Current Answer: _ 6069) Step 5: The Left End. Take the first digit (5). There’s no carry, so we write it as is. 3 Thus, final answer is 36069 Question 1 - Page 144 Evaluate (iv) 4791256 × 11.We follow these steps Step 1: The Right End. Copy the last digit down. The last digit is 6. Write 6. (Current Answer: _______ 6) Step 2: Add Neighbors (moving left). Add the last digit (6) to its neighbor (5). 6 + 5 = 11. Write down 1 and carry over the 1. (Current Answer: ______ 16) Step 3: Keep Moving Left. Add the next neighbors: 5 + 2. 5 + 2 = 7. Add the carry (1) = 8 Write down 8. (Current Answer: _____816) Step 4: Keep Moving Left. Add the next neighbors: 2 + 1. 2 + 1 = 3. Write down 3 (Current Answer: ____3816) Step 5: Keep Moving Left. Add the next neighbors: 9 + 1. 9 + 1 = 10. Write down 0 and carry over the 1. (Current Answer: ___03816) Step 6: Keep Moving Left. Add the next neighbors: 9 + 7. 9 + 7 = 16. Add the carry (1) = 17. Write down 7 and carry over the 1. (Current Answer: __703816) Step 7: Keep Moving Left. Add the next neighbors: 7 + 4. 7 + 4 = 11. Add the carry (1) = 12. Write down 2 and carry over the 1. (Current Answer: _2703816) Step 8: The Left End. Take the first digit (4). Add the carry (1). 4 + 1 = 5 Thus, final answer is 52703816 ___03816) Step 6: Keep Moving Left. Add the next neighbors: 9 + 7. 9 + 7 = 16. Add the carry (1) = 17. Write down 7 and carry over the 1. (Current Answer: __703816) Step 7: Keep Moving Left. Add the next neighbors: 7 + 4. 7 + 4 = 11. Add the carry (1) = 12. Write down 2 and carry over the 1. (Current Answer: _2703816) Step 8: The Left End. Take the first digit (4). Add the carry (1). 4 + 1 = 5 Thus, final answer is 52703816