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Rational Number Operations With Grouping

Written by Adi Ackerman, Head Teacher

"Rational Number Operations With Grouping" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.NS.A.3. A 6th grader who is already steady on rational numbers can use it too, and an older student can use it as a short review.

Popular with 7th Grade teachers · Downloaded 342 times
Rational Number Operations With Grouping
Rational Number Operations With Grouping

7th grade math worksheet: evaluate expressions with parentheses that mix fractions and decimals, like negative 0.5 by (3/4 minus 0.6). Answer key included. Part of our mixed rational number operations collection. Aligned to Common Core standards.

How do I use this worksheet?

Use the decimals and fractions sheets first, then add grouping. The missing operations sheets work well as a short warm up, and the own numbers task works well as a take-home page.

What students will practice

  • Students will work inside the parentheses first, then multiply or divide, then add or subtract.
  • Students will combine fractions and decimals in the same expression.
  • Students will write each answer as a fraction or mixed number in simplest form.


Curriculum Links

Common Core State Standards

The Number System · 7th Grade

7.NS.A.3

Standard: Solve real-world and mathematical problems involving the four operations with rational numbers.

View all 7.NS.A.3 worksheets →

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FAQ

How do I use this mixed rational number operations worksheet?

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Use the decimals and fractions sheets first, then add grouping. The missing operations sheets work well as a short warm up, and the own numbers task works well as a take-home page.

What does this worksheet teach?

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Evaluate expressions with parentheses that mix fractions and decimals, like negative 0.5 by (3/4 minus 0.6). The directions on the page read: Find each value. Start inside the parentheses. Multiply or divide, then add or subtract. Show your work. Write answers as fractions or mixed numbers in simplest form. An answer key is included.

Can I use this mixed rational number operations worksheet for homeschool or classroom?

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Yes, both. We made it for 7th grade rational numbers, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

What is the order of operations with signed numbers?

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Work inside parentheses first, then multiply and divide, then add and subtract. The same order holds for negatives, fractions and decimals. Rational Number Operations With Grouping practices all of it.

Do all the sheets have answer keys?

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6 of the 7 do. Numerical Expressions From My Own Numbers has students use eight numbers from their own week, so there is no single answer to print.

What are the missing operations sheets?

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Students write plus, minus, times or divide in each circle to make an equation true, such as 5.8 and negative 2.7 to make 8.5. There is one sheet with signed decimals and one with signed fractions.

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Worksheet Details

Grade7th Grade
SubjectMath
TopicRational Numbers
Standard7.NS.A.3
Pages1 page
DifficultyMedium

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