Order of Operations With a Division Bar
Written by Adi Ackerman, Head Teacher
"Order of Operations With a Division Bar" is written for 6th Grade (Ages 11-12), and it covers Common Core 6.EE.A.2.C. If your student is a year younger but already steady on algebra, the page still works. You may just need to read the instructions out loud. And if they are older and evaluate expressions never quite stuck, this is a short review rather than busywork.
6th grade math worksheet: evaluate 12 expressions with a division bar, finding the top and bottom first, as in (18 + 6) over (2 × 3). Answer key included. Part of our evaluate expressions algebra collection. Aligned to Common Core standards.
How do I use this worksheet?
Use Order of Operations With Exponents first if students need a refresher, then move to brackets, decimals and fractions. Save Find and Fix Order of Operations Mistakes and Add Parentheses to Make Each Equation True for review, since they ask students to explain the order.
What students will practice
- Students will treat a division bar like parentheses around the top and the bottom.
- Students will evaluate 12 expressions, such as 3 + (40 minus 4) over (6 + 3) = 7.
- Students will finish the rest of the expression after dividing, as in 20 minus (6 + 3 × 6) over 8 = 17.
Curriculum Links
Common Core State Standards
Expressions and Equations · 6th Grade
Standard: Evaluate expressions at specific values of their variables, including expressions that arise from formulas used in real-world problems, performing arithmetic operations in the conventional order when there are no parentheses.
View all 6.EE.A.2.C worksheets →Find this in the curriculum
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FAQ
How do I use this evaluate expressions worksheet?
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Use Order of Operations With Exponents first if students need a refresher, then move to brackets, decimals and fractions. Save Find and Fix Order of Operations Mistakes and Add Parentheses to Make Each Equation True for review, since they ask students to explain the order.
What does this worksheet teach?
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Evaluate 12 expressions with a division bar, finding the top and bottom first, as in (18 + 6) over (2 × 3). A division bar works like parentheses around the top and the bottom. Example: 10 + 2 4 − 1 = 12 ÷ 3 = 4. The directions on the page read: Find the value of each expression. Find the value of the top and of the bottom first, then divide, then finish the rest of the expression. Write the value on the line. An answer key is included.
Can I use this evaluate expressions worksheet for homeschool or classroom?
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Yes, both. We made it for 6th Grade algebra, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with evaluate expressions. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
What does it mean to evaluate an expression?
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It means finding its value. Replace each variable with its number, then calculate. With a = 4 and b = 7, the expression 3a + b becomes 3 x 4 + 7, which is 19.
Where do exponents go in the order of operations?
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Exponents come right after parentheses and before multiplying and dividing. In 3 + 4 squared x 2, square 4 first to get 16, multiply by 2 to get 32, then add 3 to get 35.
How do you work with brackets and nested parentheses?
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Start with the innermost parentheses, then the brackets around them. On the brackets page, 2 × [10 minus (1 + 3)] becomes 2 × 6 = 12.
What does a division bar mean in an expression?
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A division bar works like parentheses around the top and the bottom. Find the value of each first, then divide, so 10 + 2 over 4 minus 1 is 12 ÷ 3 = 4.
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