Add, subtract, multiply, and divide rational numbers including negatives.
Rational Numbers extends arithmetic to the full set of positive and negative fractions and decimals. Students learn to add, subtract, multiply, and divide integers and rational numbers, apply these operations in word problems, and convert fluently among fractions, decimals, and percents. This unit completes the number skills needed for all of algebra.
For 7th Grade students, fluency with rational numbers — especially negative numbers — is the most critical prerequisite for algebra. Every algebraic expression, equation, and function can produce negative values. Students who struggle with integer and rational arithmetic will face compounding difficulty in every subsequent math course.
Use a worked explanation before choosing a printable set.
Rational numbers include integers, fractions, and terminating or repeating decimals. In a story problem, choose what positive and negative mean, represent the change with an operation, and interpret the result in context.
Check three selected skills for this grade and use the explained answers to choose your next practice.
Students begin with integer operations (signed whole numbers) before extending to rational operations with fractions and decimals. The progression from single-operation practice to word problems ensures both procedural fluency and conceptual understanding.
Add and subtract positive and negative integers.
10 worksheets · 3 difficulty levels2Multiply and divide positive and negative integers.
10 worksheets · 3 difficulty levels3Perform all four operations with rational numbers.
10 worksheets · 3 difficulty levels4Solve real-world problems using rational numbers.
10 worksheets · 3 difficulty levels5Convert rational numbers between fractions, decimals, and percents.
10 worksheets · 3 difficulty levelsInteger operations are counterintuitive at first. Spend extra time on the rules for multiplying negatives before moving on.
Use number line models for adding and subtracting integers — seeing the movement makes the rules feel logical rather than arbitrary.
For word problems, encourage your student to write a number sentence before calculating.
Rational number arithmetic requires fraction fluency — if your student struggles, review fraction addition and subtraction from earlier grades.
Connect negative multiplication to patterns: 2×3=6, 1×3=3, 0×3=0, −1×3=−3. The pattern explains the rule.
7th Grade rational numbers builds foundational skills that students need to progress in math. The worksheets on this page cover the available skills listed below, organized from basic to more advanced.
Available subtopics have 10 numbered sets for 7th Grade rational numbers, organized by difficulty level (Easy, Medium, Hard). Each worksheet targets specific skills within this topic area.
Check the prerequisite topics listed on this page. We recommend students have a solid understanding of those foundational skills before moving on to rational numbers.
Start with the Easy worksheets (Worksheets 1–3). If your student completes them confidently with minimal errors, move to Medium (Worksheets 4–7). Reserve the Hard worksheets (Worksheets 8–10) for students who have demonstrated solid mastery at the Medium level. It is perfectly fine to spend more time at a lower difficulty — mastery at each level is more valuable than rushing ahead.
Yes, every rational numbers worksheet on K12Worksheets is completely free to download and print. There is no signup required, no subscription, and no limit on how many you can print. Each worksheet includes a printable answer key on a separate page so parents and teachers can check work quickly.