Rational Number Operations, Fractions First
Written by Adi Ackerman, Head Teacher
"Rational Number Operations, Fractions First" 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.
7th grade math worksheet: use the order of operations with signed fractions, such as 2/3 plus negative 3/4 divided by negative 1/6. 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 multiply and divide signed fractions before they add or subtract.
- Students will add and subtract fractions with unlike denominators.
- Students will write every answer in simplest form and show the steps.
Curriculum Links
Common Core State Standards
The Number System · 7th Grade
Standard: Solve real-world and mathematical problems involving the four operations with rational numbers.
View all 7.NS.A.3 worksheets →Find this in the curriculum
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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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Use the order of operations with signed fractions, such as 2/3 plus negative 3/4 divided by negative 1/6. The directions on the page read: Find each value. Multiply or divide before you add or subtract. Show your work. Write answers 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
| Grade | 7th Grade |
| Subject | Math |
| Topic | Rational Numbers |
| Standard | 7.NS.A.3 |
| Pages | 1 page |
| Difficulty | Medium |
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