PEMDAS Inside PEMDAS — Most People Can't Even Get A Whole Number

Most people who attempt this problem don't even get a whole number as their answer. And that non-integer result is the most important clue in the entire problem — because it tells you exactly where your logic broke down. Today's problem: 60 ÷ (9 + 3 × 10 ÷ 2 - 4) Here's the trap almost nobody sees coming: Every math student knows you solve parentheses first in PEMDAS. What most people forget is that PEMDAS doesn't stop at the parentheses boundary — it applies INSIDE them too. That means the expression inside the parentheses (9 + 3 × 10 ÷ 2 - 4) is its own complete PEMDAS problem that must be solved in the correct order before you can touch the division outside. Go left to right inside and you get 56. Divide 60 by 56 and you get 1.07. That decimal is the algorithm catching your mistake. Apply PEMDAS correctly inside — multiplication and division before addition and subtraction, left to right — and the parentheses resolve to a clean 20. Then 60÷20 gives you 3. The difference between 1.07 and 3 is one rule applied in the right place at the right time. In this video I'll walk through every single step of both levels — inside the parentheses and outside — so this two-level PEMDAS structure never trips you up again. 🔢 Try it before watching — what are YOU getting? A clean number or a decimal? Drop it in the comments before you hit play! ⏱️ TIMESTAMPS 00:00 - The Problem 00:30 - Why Most People Get A Decimal 01:15 - PEMDAS Inside Parentheses Explained 02:30 - Solving The Inner Expression Step By Step 04:00 - The Final Division 05:00 - Why 3 Is The Only Correct Answer 📌 Subscribe to Prime Logic — the channel that goes deeper than just "solve the parentheses first." We solve what's INSIDE them too. New problem every single day. Drop your answer before watching. Let's see if you can beat the majority. 👍 Like this video if you got 3 💬 Comment your answer — whole number or decimal? 🔔 Subscribe + turn on notifications so you never miss the next problem In this video I solve 60÷(9+3×10÷2-4) step by step using PEMDAS order of operations applied on two levels — inside and outside the parentheses — and explain exactly why most people get 1 or a non-integer decimal instead of the correct answer of 3, covering multiplication before addition inside grouping symbols, left-to-right evaluation, and nested order of operations. #PEMDAS #OrderOfOperations #MathProblem