What if Einstein didn’t understand the Order of Operations?

Today, we’re going to discuss an essential concept in Python programming: the Order of Operations. This topic isn’t just relevant for beginners; even experienced developers can sometimes run into issues if they don’t fully grasp these rules. Why is this so crucial? Similar to mathematics, Python has specific rules for determining which calculations are performed first in an expression. Ignoring these rules can have a significant impact on the outcome of your code.
A Simple Example
Let’s consider a straightforward arithmetic problem: what is 16 minus 3 times 2? If you evaluate this expression from left to right, you might assume that the answer is 26. However, the correct answer is 10. This discrepancy arises because, in mathematics, there’s a set of guidelines called the Order of Operations, which dictates that multiplication and division should be performed before addition and subtraction.
PEMDAS in Python
Python adheres to the same principle, using a rule commonly abbreviated as PEMDAS:
- P: Parentheses
- E: Exponents
- MD: Multiplication and Division (from left to right)
- AS: Addition and Subtraction (from left to right)
Let’s break this down with some examples (do them in your head😏)
Parentheses
Any calculation inside parentheses is performed first. If there are nested parentheses, the innermost ones are evaluated first.
result1 = (2 + 4) — 5 # Output: 1
Exponents
Exponents are tackled after parentheses. Python performs any calculations involving powers, such as squaring, cubing, etc.
result2 = 4 + 2 ** 3 # Output: 12
Multiplication and Division
Multiplication and division come next. If an expression contains multiple instances of these operations, Python evaluates them from left to right. Extra points if you tell me why the answer is a float.
result3 = 2 + 4 / 2 * 5 # Output: 12.0
Addition and Subtraction
Finally, addition and subtraction are the last operations to be carried out, also evaluated from left to right.
result4 = (2 + 3) ** 2 + 5 ** 2–10 # Output: 40
The Importance of Order
Understanding the Order of Operations is crucial when coding, as it helps you craft expressions that yield the intended results. Failure to keep these rules in mind may produce outcomes far removed from your expectations.
So, did you get the same answers as the examples provided?
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