Question 1

What is PEMDAS and when do fifth graders learn it?

Accepted Answer

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction, and describes the conventional order for evaluating mathematical expressions. Fifth graders formalize this system as they write and interpret numerical expressions involving multiple operations (CCSS 5.OA.A.1-2). Students learn that multiplication and division are performed left to right (not multiplication before division), and the same applies to addition and subtraction. This distinction prevents the common mistake of always doing multiplication before division. Worksheets that present multi-step expressions requiring all PEMDAS rules, with space for showing each step, build procedural accuracy. Practice with expressions that produce different answers depending on the order of evaluation helps students understand why these conventions exist.

Question 2

How do you teach PEMDAS to fifth graders?

Accepted Answer

Begin by reviewing fourth-grade parentheses work, then introduce the complete hierarchy. Use the mnemonic PEMDAS but immediately clarify that M and D are equal (left to right) and A and S are equal (left to right). Practice with expressions that test each level of the hierarchy separately before combining them. Show common errors: in 8 minus 3 plus 2, the answer is 7 (left to right), not 3 (subtracting the sum). Use real-world contexts to explain why certain operations come first. Worksheets that ask students to evaluate the same expression using different orders and compare results demonstrate why a universal convention is necessary. Include problems where students insert parentheses to change the value of an expression to build deeper understanding.

Question 3

What common PEMDAS mistakes do fifth graders make?

Accepted Answer

The most frequent error is treating PEMDAS as a strict left-to-right sequence: doing all multiplication before any division, or all addition before any subtraction. In reality, multiplication and division share the same level and are resolved left to right, as do addition and subtraction. Another common mistake is forgetting to evaluate expressions inside nested parentheses from the inside out. Some students also ignore exponents or misapply them (treating 2 to the third power as 2 times 3 instead of 2 times 2 times 2). Worksheets that present intentionally tricky expressions testing each of these misconceptions, paired with step-by-step solution guides, help students self-correct. Error analysis exercises where students find mistakes in worked examples are especially effective for building PEMDAS accuracy.

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5th Grade Order of Operations (PEMDAS) Worksheets

4 operations & parenthesis

PEMDAS including exponents

PEMDAS with nested parenthesis

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