Math Problem Statement

3 + 2 × 4²

Solution

The expression provided in the image is:

3+2×423 + 2 \times 4^2

To solve this, we follow the order of operations (PEMDAS/BODMAS):

  1. Parentheses/Brackets
  2. Exponents
  3. Multiplication and Division
  4. Addition and Subtraction

Let's break it down step by step:

  1. Exponents: 42=164^2 = 16
  2. Multiplication: 2×16=322 \times 16 = 32
  3. Addition: 3+32=353 + 32 = 35

Therefore, the result is:

3535

Would you like a further breakdown, or do you have any questions?

Here are 5 related questions:

  1. How would the result change if there were parentheses around 3+23 + 2?
  2. What happens if the exponent is changed to 434^3?
  3. How does the order of operations affect solving more complex equations?
  4. How would you solve a similar equation with division involved?
  5. Can you solve this expression using a calculator for verification?

Tip: Always remember to follow the order of operations to avoid mistakes in solving complex expressions.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Exponents
Multiplication
Addition

Formulas

a^n = a * a * ... (n times)
Multiplication rule
Addition rule

Theorems

PEMDAS/BODMAS

Suitable Grade Level

Grades 6-8