Greatest Result Answer Key

This worksheet gives students a deeper look at integer operations by using the same pair of numbers in addition, subtraction, multiplication, and division, then asking them to identify which operation produces the greatest result. Instead of solving unrelated problems one after another, students can directly compare what happens when the operation changes but the numbers stay the same. For example, the same pair might produce a small positive sum, a larger difference, a negative product, or a negative quotient. That makes this worksheet especially useful for helping students understand that the operation itself can dramatically change both the size and sign of an answer.

For a parent, this is a great worksheet for conversation because there is more to discuss than simply whether each answer is right. After the child solves all four expressions, ask, “Which answer is greatest on the number line?” Remember that a positive number is always greater than a negative one, and among negative numbers, the value closer to zero is greater. For example, -4 is greater than -20. This is an area where many students get confused because they may think 20 “looks bigger” than 4 and forget that both values are negative.

Key Learning Objectives

• Use All Four Operations on One Number Pair: Students see how addition, subtraction, multiplication, and division behave differently.
• Compare Final Integer Results: Learners determine which answer is greatest after completing all four calculations.
• Strengthen Sign Rules: Students repeatedly apply the correct positive/negative rule for each operation.
• Build Magnitude and Order Sense: Learners compare positive and negative results on a number line.
• Understand the Effect of Operations: Students see that changing the operation can completely change the result.

Why This Worksheet Helps

• Encourages Deeper Thinking: Students are not finished after computing; they must compare and interpret.
• Shows Connections Across Operations: The same integers behave differently depending on whether they are added, subtracted, multiplied, or divided.
• Builds Integer Comparison Skills: Students get useful practice deciding which of several signed numbers is greatest.
• Reveals Common Misconceptions: A child who chooses the negative number with the largest absolute value may need more work on integer ordering.
• Useful for Enrichment: The worksheet goes beyond routine calculation without introducing a completely new topic.

Parent-Friendly Explanation

After the four answers are found, think of them as locations on a number line.

• Numbers farther to the right are greater.
• Any positive number is greater than any negative number.
• Zero is greater than every negative number.
• Between two negative numbers, the one closer to zero is greater.

So if the four answers are 4, 12, -32, and -2, the greatest result is 12.

Classroom & Home Use

• Excellent for Discussion: Students can explain why one operation creates the greatest answer.
• Good for Small Groups: Learners can compare strategies and results with classmates.
• Useful for Parents: Families can focus on comparing the four answers even if the operations themselves need checking.
• Strong Unit Review: It combines computation, sign rules, and integer comparison.
• Prepares for Algebra: Understanding how operations affect values supports later expression and equation work.

This worksheet is valuable because it helps students see integer operations as connected ideas rather than four separate rule sets. Addition, subtraction, multiplication, division, sign rules, magnitude, and ordering all work together in each problem set. For parents, the best follow-up question is: “Why is that result the greatest?” Having the child explain the comparison strengthens understanding far more than simply circling an answer.