https://file.aiquickdraw.com/mathbot/file/1730326591942z3au9zay.jpg

To solve this problem, we’ll work through the expression step-by-step to see if it equals the target value, 23. The expression is:

\[
5^2 - 0.2 \times 8 + 12 \times \frac{1}{2}
\]

Let's break it down:

### Step 1: Evaluate \(5^2\)
\[
5^2 = 25
\]

### Step 2: Evaluate \(0.2 \times 8\)
\[
0.2 \times 8 = 1.6
\]

### Step 3: Evaluate \(12 \times \frac{1}{2}\)
\[
12 \times \frac{1}{2} = 6
\]

### Step 4: Substitute and simplify the expression
Substitute the values back into the expression:

\[
25 - 1.6 + 6
\]

### Step 5: Perform the addition and subtraction
1. \(25 - 1.6 = 23.4\)
2. \(23.4 + 6 = 29.4\)

### Conclusion
The result of the expression is **29.4**, which does not match the target value of **23**. 

Would you like me to help adjust or explore alternative approaches?

---

1. What alternative values or operations could make the expression equal 23?
2. How do different approaches in simplification impact the final result?
3. What steps could be taken to systematically approach similar problems?
4. Why did this expression result in a different value from the target?
5. How does the order of operations impact complex expressions?

**Tip:** Always carefully follow the order of operations (PEMDAS/BODMAS) to ensure accuracy in calculations.

Target value: 23
5^2 - 0.2 × 8 + 12 × 1/2

Learn how to solve a math expression with the target value of 23 using exponents, multiplication, and fractions. This problem reinforces the importance of following the order of operations (PEMDAS/BODMAS). Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation