Tutor Help: Order of Operations

Skill: order-of-operations

Tutor Help: Order of Operations

Stuck on PEMDAS? Recap the ladder, try the self-help fixes, or preview a tutor request.

Tutor help · Order of Operations

PEMDAS is a precedence ladder: grouping, exponents, ×/÷, +/−. Higher rungs always go first — the ladder never changes.

×/÷ form one rung and +/− form one rung: within a rung, go left to right. 12 ÷ 3 × 2 = 8, not 2.

Grouping symbols — including fraction bars — outrank everything and resolve inside-out. Parentheses are the only part of PEMDAS you control: add them to say exactly what you mean.

How to get unstuck in 5 minutes

  1. 1Re-read the lesson section that matches your problem.
  2. 2Work one practice problem with the hint turned on.
  3. 3Check your answer with the step-by-step tool.
  4. 4Still stuck? Use the demo request form below.

1 Quick self-help

Three fixes that solve most stuck moments.

1

Answer keeps coming out wrong?

Write the rung number above each operation before computing: 1 for grouping, 2 for exponents, 3 for ×/÷, 4 for +/−. Then do them in rung order.

2

Unsure about ÷ vs ×?

Same rung — leftmost wins. Cover the rest of the expression and ask: “of × and ÷, which appears first?” That one goes now.

3

Nested groups tangling?

Start at the innermost pair and work outward. Simplify each group to a single number before touching the outside.

2 Common questions

Short answers to the questions tutors hear most.

Does multiplication really come before division?
Answer
No — they share a rung. PEMDAS is four levels, not six. Within ×/÷, go left to right: 12 ÷ 3 × 2 = 8.
What does the fraction bar group?
Answer
Everything above it and everything below it, separately. Compute the full top, the full bottom, then divide.
How do I handle 2^3^2?
Answer
Exponents stack right to left: 2^(3^2) = 2^9 = 512. The rightmost power goes first.

3 Ask a tutor

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