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Add and Subtract Rational Numbers in Three Forms

Written by Adi Ackerman, Head Teacher

"Add and Subtract Rational Numbers in Three Forms" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.NS.A.1.D. 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 389 times
Add and Subtract Rational Numbers in Three Forms
Add and Subtract Rational Numbers in Three Forms

7th grade math worksheet: convert fractions, decimals and integers to one form and add or subtract them, writing answers as decimals. Answer key included. Part of our add and subtract rational numbers collection. Aligned to Common Core standards.

How do I use this worksheet?

Use Add and Subtract Rational Numbers in Three Forms after students have practiced fractions and decimals separately. Assign Additive Inverses That Make Zero for the concept and the profit and loss sheet to apply it.

What students will practice

  • Students will change fractions and decimals to the same form when needed.
  • Students will add and subtract rational numbers written as fractions, decimals and integers.
  • Students will show their work and write each answer as a decimal.


Curriculum Links

Common Core State Standards

The Number System · 7th Grade

7.NS.A.1.D

Standard: Apply properties of operations as strategies to add and subtract rational numbers.

View all 7.NS.A.1.D worksheets →

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FAQ

How do I use this add and subtract rational numbers worksheet?

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Use Add and Subtract Rational Numbers in Three Forms after students have practiced fractions and decimals separately. Assign Additive Inverses That Make Zero for the concept and the profit and loss sheet to apply it.

What does this worksheet teach?

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Convert fractions, decimals and integers to one form and add or subtract them, writing answers as decimals. The directions on the page read: Find each value. Change the numbers to the same form if you need to, show your work, and write the answer as a decimal. An answer key is included.

Can I use this add and subtract rational numbers 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.

How do you add a fraction and a decimal?

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Change both numbers to the same form, usually decimals, then add using the sign rules. Add and Subtract Rational Numbers in Three Forms has students write each answer as a decimal.

What is an additive inverse?

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The additive inverse of a number has the same size and the opposite sign, so the two numbers add to 0. The inverse of -14.9 is 14.9. Additive Inverses That Make Zero practices this with decimals, fractions and mixed numbers.

How do you use negative numbers for profit and loss?

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Use a negative number for money paid out or a loss and a positive number for money earned. Profit and Loss With Rational Numbers asks students to write an expression for each snack stand problem and find the profit or loss.

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Worksheet Details

Grade7th Grade
SubjectMath
TopicRational Numbers
Standard7.NS.A.1.D
Pages1 page
DifficultyMedium

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