Free Printable Opposites of Integers Worksheets for Grade 6

In 6th grade, connect the concept of opposites to the broader rational number system. Use number lines that include fractions and decimals to show that every rational number has an opposite. Emphasize real-world contexts like debt/credit, elevation, and temperature changes. Introduce the idea that –(p/q) = (–p)/q = p/(–q).

Sixth graders should practice evaluating expressions with opposites, such as –(–8) or –|–3|. They should also solve problems involving distance on a number line and apply the concept in multi-step word problems. For example: "A submarine at -200 feet rises 200 feet. What is its new position?"

A common error is confusing the opposite of a number with its absolute value, especially in expressions like –|x|. Students may also struggle with the opposite of a negative number, –(–a), incorrectly simplifying it. Careful attention to the order of operations and the meaning of the negative sign is key.

This resource can be used for practice, homework, or as a formative assessment. Assign it as a digital quiz on Wayground to get instant data on student performance, or print the PDF for focused, offline work. Every worksheet includes a full answer key for efficient grading.

This topic is a central part of the 6th-grade Common Core State Standards for the Number System (6.NS.C.6). Students are expected to understand that a number and its opposite are equidistant from 0 on the number line and to recognize the opposite of the opposite of a number. This skill is foundational for learning to add, subtract, multiply, and divide rational numbers.

For students needing support, use Wayground's digital assignment settings to enable Read Aloud for word problems or reduce the number of answer choices. For advanced learners, challenge them to create their own real-world problems involving opposites or to explore opposites on the complex plane as an extension.