PEMDAS worksheets where every answer is a whole number

8 − 2 × 3. A fourth grader reading left to right gets 18. The calculator says 2. The argument that follows, usually with some indignation about the calculator being broken, is where order of operations actually starts. The rule only sticks once the child has felt the problem.

What the sheet looks like

The order of operations generator prints expressions with a blank for the answer, 8 to 20 to a page. Difficulty has three steps. Grade 4 is two operations, like 8 − 2 × 3. Grade 5 adds a third operation and parentheses. Grade 6 keeps the parentheses and mixes in small squares and cubes. Every answer is a whole number and every division is exact, so there are no fractions or decimals to trip over halfway through. The answer key is optional.

Why it works

• Whole-number answers isolate the skill. If 7 ÷ 2 showed up mid-problem, the child would be fighting arithmetic instead of thinking about order.
• Starting at two operations means one decision per problem: which goes first. That is the whole lesson in its smallest form.
• Exponents stay small. 2³ and 5² are things a sixth grader knows cold, so they do not become a side project.

Who it suits

Fourth graders who know their multiplication and division facts can start at two operations. Sixth graders take the exponent level. This is not a sheet for a child still shaky on times tables, because you cannot tell an order error from a fact error on the same line; a few weeks of fact fluency drills first makes the mistakes readable.

Keep the calculator on the table. Checking is allowed.