Find the square of each number. The numbers are 32, 43, 73, 133, 2122, 2432. Also, find the square of each number using the formula for numbers ending in 5. The numbers are 25, 45, 85, 105, 75, 205.

Hey sumitra, good to see you again. Here are the solutions to the questions: Question 4: Find the square of each number. The numbers are 32, 43, 73, 133, 2122, 2432. Step 1: Calculate the square of each number by multiplying it by itself. For 32: 32^2 = 32 × 32 = 1024 For 43: 43^2 = 43 × 43 = 1849 For 73: 73^2 = 73 × 73 = 5329 For 133: 133^2 = 133 × 133 = 17689 For 2122: 2122^2 = 2122 × 2122 = 4502884 For 2432: 2432^2 = 2432 × 2432 = 5914624 The squares are: 1024, 1849, 5329, 17689, 4502884, 5914624. Question 5: Find the square of each number using the formula for numbers ending in 5. The numbers are 25, 45, 85, 105, 75, 205. The formula for squaring a number ending in 5 (e.g., N5) is to multiply N by (N+1) and append 25. Step 1: Apply the formula for each number. For 25: Here N=2. 25^2 = (2 × (2+1)) followed by 25 = (2 × 3) followed by 25 = 625 For 45: Here N=4. 45^2 = (4 × (4+1)) followed by 25 = (4 × 5) followed by 25 = 2025 For 85: Here N=8. 85^2 = (8 × (8+1)) followed by 25 = (8 × 9) followed by 25 = 7225 For 105: Here N=10. 105^2 = (10 × (10+1)) followed by 25 = (10 × 11) followed by 25 = 11025 For 75: Here N=7. 75^2 = (7 × (7+1)) followed by 25 = (7 × 8) followed by 25 = 5625 For 205: Here N=20. 205^2 = (20 × (20+1)) followed by 25 = (20 × 21) followed by 25 = 42025 The squares are: 625, 2025, 7225, 11025, 5625, 42025. Question 6: Find the square of each number using the general method. The numbers are 31, 43, 34, 52, 72. Step 1: Calculate the square of each number using standard multiplication. For 31: 31^2 = 31 × 31 = 961 For 43: 43^2 = 43 × 43 = 1849 For 34: 34^2 = 34 × 34 = 1