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Order of Operations Worksheets — PEMDAS Practice

Order of operations is the rulebook that makes math unambiguous. These worksheets start with the simplest conflict — addition vs. multiplication in one expression — so students master "multiply before you add" before brackets and exponents arrive. The answer key shows the intermediate step so students can see where they diverged.

Sample problems (new ones below)

8 + 4 × 2 = 168 + 7 × 10 = 781 + 2 × 7 = 157 + 2 × 4 = 153 + 1 × 2 = 58 + 6 × 9 = 628 + 3 × 10 = 385 + 9 × 2 = 2312 + 4 × 6 = 366 + 12 × 2 = 306 + 7 × 5 = 4110 + 11 × 11 = 1319 + 4 × 11 = 533 + 8 × 3 = 275 + 1 × 11 = 163 + 9 × 1 = 125 + 9 × 4 = 419 + 4 × 10 = 4912 + 9 × 9 = 936 + 6 × 12 = 7811 + 7 × 5 = 469 + 2 × 4 = 179 + 1 × 5 = 144 + 3 × 7 = 25

Worksheet controls

Common Core aligned: 2.OA.B.2, 2.NBT.B.5, 2.NBT.B.7

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Teaching tips for order of operations

  • Teach PEMDAS as a memory anchor, but emphasize that multiplication/division and addition/subtraction are done left to right within their tier.
  • On a simple a + b × c problem, ask students to underline the multiplication first — a visual cue that it happens before the addition.
  • Have students write the intermediate value: 2 + 3 × 4 → 2 + 12 → 14. Seeing the middle step written down builds the habit.

Common mistakes to watch for

Adding before multiplying (2 + 3 × 4 = 20).
The answer key shows 2 + 12 = 14 — compare where the steps diverged. The "underline the multiplication" trick prevents this.
Forgetting left-to-right within the same tier.
In these worksheets every expression has exactly one multiplication, so left-to-right within a tier is not tested yet — a deliberate ramp into harder sheets.

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Frequently Asked Questions

What grade is order of operations taught?

Simple "multiply before you add" appears in grade 3–4, and full PEMDAS including parentheses and exponents is formalized in grade 5 (5.OA.A.1) and grade 6 (6.EE.A.1).

Why only addition and multiplication?

This sheet isolates the single most common mistake — adding before multiplying — so students master it before parentheses and exponents add more moving parts.

Is there a harder version?

Yes — increase the number range to make the arithmetic harder while the rule stays the same, then move to sheets with parentheses as the next step.

Last Updated 2026 | Problems are algorithm-generated with the exact NIST/SI constants used by UnitFig converters. Answers are computed programmatically and can be verified with the matching converter.