Absolute Distance Answer Key
About This Worksheet
This worksheet helps sixth-grade students understand absolute value as the distance a number is from zero. Students find the absolute value of positive and negative integers, then use that idea to answer questions about distance and comparison. The activity also asks students to compare absolute values using greater than, less than, and equal symbols. It gives students a clear way to see that absolute value focuses on distance, not direction.
What Students Practice
Students evaluate absolute value expressions with both positive and negative integers. They also determine how many units a given integer is from zero and compare pairs of absolute values. Some questions ask students to decide which absolute value is greater, while others require them to insert the correct comparison symbol. This gives them practice connecting notation, distance, and numerical size.
Why This Matters
Students often confuse the absolute value of a negative number with the number itself. Understanding that absolute value measures distance helps explain why both a positive number and its opposite have the same absolute value. This idea becomes important when students compare rational numbers and later work with equations and coordinate geometry. A strong understanding of absolute value also makes many real-world distance problems easier to interpret.
Teaching Tips
Remind students that distance can never be negative. A quick number line can help them see that both sides of zero are measured using positive distances. If a student writes a negative absolute value, ask how many spaces that number is from zero. Encourage students to think about the value inside the absolute value bars first and then focus only on its distance.
Curriculum Standards
This worksheet supports CCSS.MATH.CONTENT.6.NS.C.7.C, which asks sixth-grade students to understand the absolute value of a rational number as its distance from zero. It also reinforces CCSS.MATH.CONTENT.6.NS.C.7 by having students compare values and reason about their positions. The activity works well after students have already learned positive and negative integers.