Integer Moves Answer Key

This worksheet gives students a very visual way to understand integer addition by showing them how numbers “move” on a number line. Instead of asking children to memorize a bunch of positive-and-negative rules right away, the worksheet teaches them to start at the first integer and then move right for a positive number or left for a negative number. Problems such as -4 + 7, 5 + (-8), and -3 + (-5) help students see what is actually happening when integers are added. That makes this worksheet especially valuable for students who may be confused by signs or who need to see the math before they are expected to memorize the shortcut rules.

For a parent who has not worked with integers in a long time, the easiest way to think about this worksheet is like walking along a sidewalk. Zero is the middle. Positive numbers are to the right, and negative numbers are to the left. If a child starts at -4 and adds 7, they begin at -4 and walk 7 spaces to the right. They land on 3, so -4 + 7 = 3. If they start at 5 and add -8, they walk 8 spaces to the left and land on -3. The number line lets students see the answer happen, which is often much easier than trying to remember a rule such as “different signs subtract.”

Learning Goals

• Understand Positive and Negative Direction: Students learn that positive values move right and negative values move left.
• Add Integers Visually: Learners use movement instead of relying only on memorized sign rules.
• Connect Integers to Distance: Students begin understanding how far one number is from another on the number line.
• Build Meaning Before Memorization: The worksheet gives students a reason for why integer addition works the way it does.

Why This Worksheet Helps

• Excellent for Beginners: Students who are just learning integers can physically track each move.
• Helpful for Parents Too: The number-line method gives adults a simple way to explain the homework without needing to remember formal rules.
• Reduces Sign Confusion: Children can look at the direction of the move instead of panicking when they see two signs in one problem.
• Builds a Strong Foundation: Once students understand movement, later rules such as “same signs add” and “different signs subtract” make much more sense.
• Useful for Intervention: This is a strong worksheet for a child who keeps getting integer answers wrong because the visual model slows the thinking down.

The real value of this worksheet is that it makes integer addition feel less mysterious. Positive numbers, negative numbers, number lines, direction, addition, and distance all work together in a way students can actually picture. For parents, the best coaching language is simple: “Where do you start, and which direction are you moving?” If the second number is positive, move right. If it is negative, move left. That one question can help a struggling student work through many problems without being handed the answer. In classroom and homeschool settings, this worksheet is a strong first step toward confident integer addition.