Breaking Down the Math: Understanding the Expression 16 - 5 × 8 + 6 × 4 + 8 - 8

Mathematics is often seen as a straightforward subject, but not every expression is easy to solve at first glance—especially with ordered operations like multiplication, addition, and subtraction. One common question arises when evaluating expressions involving multiple operations: Is multiplication done before addition and subtraction? Let’s explore the expression 16 - 5 × 8 + 6 × 4 + 8 - 8 and solve it step-by-step using proper order of operations (PEMDAS/BODMAS).

Understanding the Context

Step-by-Step Calculation Using PEMDAS

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Our expression:
16 - 5 × 8 + 6 × 4 + 8 - 8

We ignore parentheses and exponents since none appear. We start with multiplication first:

= 16 - 5 \times 8 + 6 \times 4 + 8 - 8

Key Insights

  1. 5 × 8 = 40
  2. 6 × 4 = 24

Now substitute back:
16 - 40 + 24 + 8 - 8

Now perform addition and subtraction from left to right:

  1. 16 - 40 = -24
  2. -24 + 24 = 0
  3. 0 + 8 = 8
  4. 8 - 8 = 0

Continue Reading

A spherical tank has a diameter of 10 meters. If it is filled to 80% of its capacity, what is the volume of water in the tank? Use \( \pi \approx 3.14 \).
Radius \( r = \frac{10}{2} = 5 \) meters.
Volume of sphere: \( \frac{4}{3}\pi r^3 \).

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Final Thoughts

Final Result: 0

So, 16 - 5 × 8 + 6 × 4 + 8 - 8 = 0

Why This Matters for Math Learning and SEO

Understanding how to process operations in the correct order—especially handling multiplication before addition and subtraction—is essential for students learning algebra and arithmetic mastery. This expression serves as an excellent example for teaching careful evaluation of mathematical statements.

For educators and content creators, publishing clear explanations of such problems improves SEO performance—using keyword-rich titles and descriptions like “step-by-step guided solution 16 - 5 × 8 + 6 × 4” or “how to solve 16 - 5×8 + 6×4 + 8 - 8” boosts visibility on search engines. Including clear formulas, step-by-step breakdowns, and practical examples aligns with user intent and enhances readability.

Summary

  • Always follow PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) when solving expressions.
  • Multiplication is performed before addition and subtraction.
  • The expression 16 - 5 × 8 + 6 × 4 + 8 - 8 simplifies to 0 through correct order of operations.
  • Clear, well-explained math tutorials improve both learning and online search performance.