This Grade 4 easy worksheet introduces nested parentheses and the left-to-right rule for multiplication and division. Students work through inside-out evaluation, see why 12 divided by 3 times 2 equals 8 and not 2, and identify which operation happens first in carefully chosen expressions. With sentence corrections, fill-in-the-blank items, and short-answer prompts, learners build accuracy in two important PEMDAS habits before tackling harder mixed-operation problems later.
Style:
Order of Operations Introduction
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
For 12 / 3 * 2, do 3 * 2 first to get 12 / 6 = 2.
Rewrite: For 12 / 3 * 2, work left to right: 12 / 3 = 4, then 4 * 2 = 8.
2. Fix the sentence:
In ((2+3)*4), I solve 3*4 first because multiplication beats addition.
Rewrite: In ((2+3)*4), I solve the inside parens first: 2+3=5, then 5*4=20.
3. Fix the sentence:
20 / 4 * 5 equals 1 because 4 * 5 = 20 and 20 / 20 = 1.
Rewrite: 20 / 4 * 5 equals 25: divide first to get 5, then multiply by 5.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. Solve ((6+2)*3): inner parens give 8, so the answer is 24.
2. 12 / 3 * 2 = 8 when worked left to right correctly.
3. In ((10-4)/2), the first operation to perform is subtraction.
4. 24 / 6 * 1 equals 4 using the left-to-right rule.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Why must you solve 18 / 2 * 3 from left to right?
Because division and multiplication share the same priority, so order of appearance decides; 18 / 2 = 9, then 9 * 3 = 27.
2. Which operation in ((4+1)*6) do you do first, and why?
Addition inside the inner parentheses comes first because innermost groupings always rank highest, giving 5*6=30.
Order of Operations Introduction
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
For 12 / 3 * 2, do 3 * 2 first to get 12 / 6 = 2.
Rewrite: For 12 / 3 * 2, work left to right: 12 / 3 = 4, then 4 * 2 = 8.
2) Fix the sentence:
In ((2+3)*4), I solve 3*4 first because multiplication beats addition.
Rewrite: In ((2+3)*4), I solve the inside parens first: 2+3=5, then 5*4=20.
3) Fix the sentence:
20 / 4 * 5 equals 1 because 4 * 5 = 20 and 20 / 20 = 1.
Rewrite: 20 / 4 * 5 equals 25: divide first to get 5, then multiply by 5.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) Solve ((6+2)*3): inner parens give 8, so the answer is 24.
2) 12 / 3 * 2 = 8 when worked left to right correctly.
3) In ((10-4)/2), the first operation to perform is subtraction.
4) 24 / 6 * 1 equals 4 using the left-to-right rule.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Why must you solve 18 / 2 * 3 from left to right?
Because division and multiplication share the same priority, so order of appearance decides; 18 / 2 = 9, then 9 * 3 = 27.
2) Which operation in ((4+1)*6) do you do first, and why?
Addition inside the inner parentheses comes first because innermost groupings always rank highest, giving 5*6=30.
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9 Questions
15-20 minutes
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