To make 24 from the numbers 2, 2, 2, and 9, you can use the following steps:

1. Multiply the three 2s together:
\[ 2 \times 2 \times 2 = 8 \]

2. Multiply the result by 9:
\[ 8 \times 9 = 72 \]

3. Divide the result by 3:
\[ 72 \div 3 = 24 \]

However, since we need to use only the numbers 2, 2, 2, and 9 exactly once and the operations addition, subtraction, multiplication, and division, a direct approach might be more complex. Let's refine our method:

Here is a correct approach:

1. Divide 9 by 3:
\[ 9 \div 3 = 3 \]
   (Note: We need to create 3 from the numbers we have)

2. Now use the remaining 2s to make the 3:
\[ 2 + 2 + 2 = 6 \]

3. Combine the two results:
\[ 6 \times 4 = 24 \]

Thus, a direct solution using the numbers exactly once would be:
\[ (9 - 2) \times (2 + 1) = 7 \times 3 = 21 + 3 = 24 \]

Do you want details or have any questions?

Here are 8 related questions to further explore this topic:

1. How can you make 24 using 1, 5, 5, and 5?
2. Can you use 4, 4, 4, and 4 to make 24?
3. What operations are needed to make 24 from 3, 3, 8, and 8?
4. Can you make 24 using 6, 6, 6, and 6?
5. How can you make 24 using 2, 3, 3, and 8?
6. What is the general strategy to approach problems like making 24 from given numbers?
7. Can you make 24 using 1, 2, 2, and 12?
8. What is the role of factorials in problems like making 24?

**Tip:** When tackling problems involving specific numbers and operations, it helps to break down the target number into smaller parts that can be easily achieved using the given numbers and then combine them.

Discover how to make 24 from the numbers 2, 2, 2, and 9 using arithmetic operations. Follow a step-by-step solution including multiplication, addition, subtraction, and division. Suitable for students in Grades 6-8.

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