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.

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: $$32^2 = 32 \times 32 = 1024$$
• For 43: $$43^2 = 43 \times 43 = 1849$$
• For 73: $$73^2 = 73 \times 73 = 5329$$
• For 133: $$133^2 = 133 \times 133 = 17689$$
• For 2122: $$2122^2 = 2122 \times 2122 = 4502884$$
• For 2432: $$2432^2 = 2432 \times 2432 = 5914624$$

The squares are: $\boxed{1024, 1849, 5329, 17689, 4502884, 5914624}$.

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 $N=2$. $$25^2 = (2 \times (2+1)) \text{ followed by } 25 = (2 \times 3) \text{ followed by } 25 = 625$$
• For 45: Here $N=4$. $$45^2 = (4 \times (4+1)) \text{ followed by } 25 = (4 \times 5) \text{ followed by } 25 = 2025$$
• For 85: Here $N=8$. $$85^2 = (8 \times (8+1)) \text{ followed by } 25 = (8 \times 9) \text{ followed by } 25 = 7225$$
• For 105: Here $N=10$. $$105^2 = (10 \times (10+1)) \text{ followed by } 25 = (10 \times 11) \text{ followed by } 25 = 11025$$
• For 75: Here $N=7$. $$75^2 = (7 \times (7+1)) \text{ followed by } 25 = (7 \times 8) \text{ followed by } 25 = 5625$$
• For 205: Here $N=20$. $$205^2 = (20 \times (20+1)) \text{ followed by } 25 = (20 \times 21) \text{ followed by } 25 = 42025$$

The squares are: $\boxed{625, 2025, 7225, 11025, 5625, 42025}$.

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: $$31^2 = 31 \times 31 = 961$$
• For 43: $$43^2 = 43 \times 43 = 1849$$
• For 34: $$$$