Then $ a = 70 - 4(16) = 70 - 64 = 6 $ - Baxtercollege
Unlocking Basic Arithmetic: How to Solve the Equation $ a = 70 - 4(16) = 6 $
Unlocking Basic Arithmetic: How to Solve the Equation $ a = 70 - 4(16) = 6 $
Have you ever stumbled upon a simple equation like $ a = 70 - 4(16) = 6 $ and wondered how to solve it step by step? Whether you're a student mastering algebra or someone brushing up on basic math, understanding how to evaluate and simplify expressions is essential. In this article, we break down the calculation $ a = 70 - 4(16) = 6 $ to reveal the logic behind solving such equations.
The Equation Explained
The equation $ a = 70 - 4(16) = 6 $ involves both arithmetic operations and algebraic reasoning. Let’s walk through it:
Understanding the Context
-
Parentheses First
According to PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), we evaluate expressions inside parentheses first:
$$
4(16) = 64
$$
So the equation becomes:
$$
a = 70 - 64
$$ -
Subtraction Next
Subtracting the values:
$$
70 - 64 = 6
$$
Therefore, $ a = 6 $
This transformation shows how multiplication and subtraction combine to reduce numbers step by step, leading directly to the final solution.
Why Understanding This Equation Matters
Arithmetic expressions like $ a = 70 - 4(16) $ appear in countless real-world contexts, from budgeting and trouble-shooting electronics to planning schedules. Solving such equations strengthens your computational fluency and prepares you for more complex math challenges, including algebra, geometry, and calculus.
Key Insights
More Tips for Solving Similar Problems
- Always follow operator precedence: Multiplication before subtraction.
- Write out each step: This prevents errors and clarifies reasoning.
- Use parentheses wisely: They organize operations and avoid confusion.
- Double-check your work: Verifying intermediate results builds confidence.
Conclusion
While $ a = 70 - 4(16) = 6 $ may look basic, it illustrates core algebraic principles—operations order, simplification, and substitution—that form the foundation of mathematics. Mastering small equations like this helps build the habits necessary for lifelong learning and problem-solving.
If you're ready to go deeper, explore videos and tutorials on PEMDAS order of operations, simplifying arithmetic expressions, and algebraic solving strategies—these tools will turn everyday calculations into powerful skills.
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