Value Showdown

This worksheet asks students to compare pairs of absolute-value expressions using the symbols <, >, or =. Students first evaluate each expression, then decide which value has the greater magnitude or whether the two are equal. Problems include combinations such as |-7| compared with |4|, |-6| compared with |6|, |15| compared with |-11|, and |-14| compared with |-14|. The activity strengthens absolute value, comparison symbols, magnitude, integer reasoning, and number sense while helping students separate the original sign of a number from the size of its absolute value. It is especially useful for grades 6-7 students who understand absolute value individually and are ready to compare magnitudes directly.

Targeted Skills

• Evaluate Before Comparing: Students find the absolute value of both expressions before choosing a symbol.
• Use <, >, and = Correctly: Learners strengthen comparison-symbol fluency with integer magnitudes.
• Recognize Equal Absolute Values: Opposite integers such as -6 and 6 produce equal absolute values.
• Compare Magnitude Rather Than Sign: Students learn that |-18| is greater than |14| because 18 is farther from zero than 14.

Instructional Benefits

• Easy for Parents to Explain: Ask, “Which number is farther from zero after you ignore direction?”
• Combines Two Important Skills: Students practice both absolute value and comparison in the same problem.
• Highlights Opposite Values: Equal-magnitude examples reinforce that opposite numbers can share the same absolute value.
• Builds Careful Thinking: Students must evaluate the bars before comparing the results.
• Flexible for Practice: The worksheet works well for homework, warm-ups, centers, intervention, or homeschool lessons.

This worksheet helps students understand that comparing absolute values is really comparing distances from zero. Absolute value, magnitude, integer comparison, opposites, equality, and number sense all work together as students choose the correct symbol. For parents, a problem such as |-18| compared with |14| becomes simple when explained as “18 steps from zero versus 14 steps from zero.” The negative sign tells direction, but absolute value removes direction from the comparison. In classroom and homeschool settings, this activity builds stronger integer reasoning and prepares students for ordering integers, coordinate-plane distance, and more advanced absolute-value problems.