Math Problem Statement

35 - 14 ÷ 2 + 8^2

Solution

The image shows a mathematical expression:

3514÷2+8235 - 14 \div 2 + 8^2

Let's solve this step-by-step, following the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).

Step 1: Handle the exponent

82=648^2 = 64 The expression becomes: 3514÷2+6435 - 14 \div 2 + 64

Step 2: Handle the division

14÷2=714 \div 2 = 7 Now the expression is: 357+6435 - 7 + 64

Step 3: Perform addition and subtraction from left to right

357=2835 - 7 = 28 28+64=9228 + 64 = 92

So, the final result is: 9292

Would you like any further details or have questions?

Here are some related questions:

  1. What is the order of operations (PEMDAS)?
  2. How do you handle exponents in more complex expressions?
  3. Can operations be rearranged in certain cases to simplify problems?
  4. How does dividing affect subsequent addition or subtraction?
  5. How do parentheses change the order of operations in similar problems?

Tip: Always prioritize exponents and divisions/multiplications before moving on to addition/subtraction!

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Exponents
Division
Addition
Subtraction

Formulas

Exponentiation: a^n
Division: a ÷ b

Theorems

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Suitable Grade Level

Grades 5-7