Absolute value as distance from zero
The absolute value of a number is its distance from zero on a number line. Distances are nonnegative, so opposite numbers have equal absolute values even though their positions differ.
6th Grade The Number System Worksheets
Extend understanding of numbers to include negative numbers and fractions.
About The Number System
The Number System unit extends students' understanding of number to include negative integers, rational numbers, and operations with fractions. Students learn to divide fractions, perform multi-digit division fluently, and place positive and negative numbers on a number line. These concepts complete the rational number system that students will use through algebra.
Why The Number System Matters for 6th Grade
For 6th Grade students, understanding the full number system — including negative numbers and rational numbers — is a critical conceptual milestone. Negative numbers appear in temperature, debt, elevation, and algebra. Rational number fluency is the prerequisite for every algebra topic, and weak fraction skills are the single most commonly cited barrier to middle school math success.
Learn these skills step by step
Use a worked explanation before choosing a printable set.
Check three selected skills for this grade and use the explained answers to choose your next practice.
Choose an available subtopic
Students first extend fraction division before encountering integers and negative numbers. Understanding absolute value and the coordinate plane consolidates the number system into a coherent whole that students will draw on in every subsequent math course.
1
Dividing Fractions
Divide fractions by fractions.
10 worksheets · 3 difficulty levels2Multi-Digit Division
Fluently divide multi-digit numbers.
10 worksheets · 3 difficulty levels3Integers
Understand positive and negative integers and their positions on a number line.
10 worksheets · 3 difficulty levels4Rational Numbers
Understand rational numbers and their position in the coordinate plane.
10 worksheets · 3 difficulty levels5Absolute Value
Understand absolute value as distance from zero.
10 worksheets · 3 difficulty levelsTips for Parents & Teachers
1
Use a thermometer to explain negative numbers — temperature going below zero is one of the most intuitive negative number contexts.
2
For fraction division, have your child explain what "divided by 1/2" means in words: "How many halves fit in this number?"
3
Practice integer arithmetic with simple examples before tackling worksheets — a number line drawn on paper helps.
4
Review absolute value as "distance from zero" — not just "remove the negative sign."
5
Connect integers to real life: bank account balances, floors below ground level, and golf scores all use negative numbers.
Frequently Asked Questions
What skills does the number system cover in 6th Grade?
6th Grade the number system 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.
How many the number system worksheets are available?
Available subtopics have 10 numbered sets for 6th Grade the number system, organized by difficulty level (Easy, Medium, Hard). Each worksheet targets specific skills within this topic area.
What should my student learn before starting 6th Grade the number system?
Check the prerequisite topics listed on this page. We recommend students have a solid understanding of those foundational skills before moving on to the number system.
How do I know if my 6th Grade student is ready for the Hard the number system worksheets?
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.
Are these 6th Grade the number system worksheets free?
Yes, every the number system 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.