Math Problem Statement

√25 × 7 + 14 + 1 × 5 / 50 + 20 - 24

Solution

The expression in the image is:

25×7+14+1×5/50+2024\sqrt{25} \times 7 + 14 + 1 \times 5 / 50 + 20 - 24

Let's solve this step by step, following the order of operations (PEMDAS/BODMAS):

  1. Simplify the square root: 25=5\sqrt{25} = 5 Now, the expression becomes: 5×7+14+1×5/50+20245 \times 7 + 14 + 1 \times 5 / 50 + 20 - 24

  2. Perform multiplication and division: 5×7=355 \times 7 = 35 1×5=5and5/50=0.11 \times 5 = 5 \quad \text{and} \quad 5 / 50 = 0.1 The expression now is: 35+14+0.1+202435 + 14 + 0.1 + 20 - 24

  3. Perform addition and subtraction: 35+14=4935 + 14 = 49 49+0.1=49.149 + 0.1 = 49.1 49.1+20=69.149.1 + 20 = 69.1 69.124=45.169.1 - 24 = 45.1

So, the final answer is:

45.1\boxed{45.1}

Would you like to see more details or have any questions about this? Here are some related questions:

  1. How do you determine the order of operations in complex expressions?
  2. What are other examples of using square roots in algebraic equations?
  3. How do fractional operations affect the outcome of expressions?
  4. Can square roots result in irrational numbers, and how do you handle them?
  5. How does changing a single operator affect the outcome of an expression?

Tip: Always remember to follow the order of operations (PEMDAS/BODMAS) to ensure accurate calculations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Order of Operations
Square Roots
Basic Arithmetic

Formulas

√25 = 5
Order of Operations (PEMDAS/BODMAS)

Theorems

Order of Operations

Suitable Grade Level

Grades 6-8