The image illustrates the
addition rules for integers using a number line. Let's analyze each example step by step and explain the solution.
---
1. \( 6 + 3 = 9 \)
#### Explanation:
- Start at the integer
6 on the number line.
- Since you are adding
3, move
3 units to the right.
- Moving 3 units to the right from 6 lands you at
9.
#### Number Line Visualization:
- The blue circle starts at 6.
- Three red arcs represent moving 3 units to the right.
- The orange circle lands at 9.
#### Final Answer:
\[ 6 + 3 = 9 \]
---
2. \( -6 + 3 = -3 \)
#### Explanation:
- Start at the integer
-6 on the number line.
- Since you are adding
3, move
3 units to the right.
- Moving 3 units to the right from -6 lands you at
-3.
#### Number Line Visualization:
- The blue circle starts at -6.
- Three red arcs represent moving 3 units to the right.
- The orange circle lands at -3.
#### Final Answer:
\[ -6 + 3 = -3 \]
---
3. \( -6 + (-3) = -9 \)
#### Explanation:
- Start at the integer
-6 on the number line.
- Since you are adding
-3, move
3 units to the left (because adding a negative number means moving left).
- Moving 3 units to the left from -6 lands you at
-9.
#### Number Line Visualization:
- The blue circle starts at -6.
- Three red arcs represent moving 3 units to the left.
- The orange circle lands at -9.
#### Final Answer:
\[ -6 + (-3) = -9 \]
---
Summary of Addition Rules for Integers:
1.
Adding a positive integer: Move to the
right on the number line.
2.
Adding a negative integer: Move to the
left on the number line.
Final Answers:
\[
\boxed{9, -3, -9}
\]
Parent Tip: Review the logic above to help your child master the concept of easy rules for integers.
