To make the number 196 using the numbers 1, 2, 5, 21, 22, and 25, you can apply basic mathematical operations like addition, subtraction, multiplication, and division. Here's one possible way to do it:

Step-by-Step Solution:

1. Multiply 25 by 5: $25 \times 5 = 125$

2. Multiply 21 by 2: $21 \times 2 = 42$

3. Add the results: $125 + 42 = 167$

4. Add 22: $167 + 22 = 189$

5. Add 5 and 1: $189 + 5 + 1 = 196$

So, the final equation is: $(25 \times 5) + (21 \times 2) + 22 + 5 + 1 = 196$

Summary:

The expression to make 196 is: $(25 \times 5) + (21 \times 2) + 22 + 5 + 1 = 196$

Would you like further explanations or details on how this was done? Also, here are some additional questions for exploration:

1. How can you make 150 using the same numbers?
2. What is the highest possible number you can create by combining these numbers?
3. Can you create 196 using subtraction or division?
4. How would you express the equation in terms of multiplication and addition only?
5. What are some other mathematical operations that could be used to create 196?

Tip:

Sometimes using multiplication first can help quickly get a larger value to work with when solving such problems!