Problem Description:
The task involves solving integer addition problems using number lines. The goal is to add integers and determine the result by visualizing the movement on the number line.
Given Examples:
1. \( 4 + [-5] = -1 \)
- Start at 4, move 5 units to the left (since it's negative), ending at -1.
2. \( -2 + 2 = 0 \)
- Start at -2, move 2 units to the right (since it's positive), ending at 0.
Problems to Solve:
We need to solve the following integer addition problems using the same method:
a. \( -3 + 7 = \_\_\_\_\_\_ \)
b. \( 2 + [-5] = \_\_\_\_\_\_ \)
c. \( -1 + [-2] = \_\_\_\_\_\_ \)
d. \( 6 + [-4] = \_\_\_\_\_\_ \)
e. \( -6 + 12 = \_\_\_\_\_\_ \)
f. \( 0 + [-1] = \_\_\_\_\_\_ \)
---
Solution:
####
a. \( -3 + 7 \)
-
Start at: -3
-
Move: 7 units to the right (since 7 is positive).
-
End at: Starting at -3, moving 7 units to the right lands us at 4.
-
Answer: \( -3 + 7 = 4 \)
####
b. \( 2 + [-5] \)
-
Start at: 2
-
Move: 5 units to the left (since -5 is negative).
-
End at: Starting at 2, moving 5 units to the left lands us at -3.
-
Answer: \( 2 + [-5] = -3 \)
####
c. \( -1 + [-2] \)
-
Start at: -1
-
Move: 2 units to the left (since -2 is negative).
-
End at: Starting at -1, moving 2 units to the left lands us at -3.
-
Answer: \( -1 + [-2] = -3 \)
####
d. \( 6 + [-4] \)
-
Start at: 6
-
Move: 4 units to the left (since -4 is negative).
-
End at: Starting at 6, moving 4 units to the left lands us at 2.
-
Answer: \( 6 + [-4] = 2 \)
####
e. \( -6 + 12 \)
-
Start at: -6
-
Move: 12 units to the right (since 12 is positive).
-
End at: Starting at -6, moving 12 units to the right lands us at 6.
-
Answer: \( -6 + 12 = 6 \)
####
f. \( 0 + [-1] \)
-
Start at: 0
-
Move: 1 unit to the left (since -1 is negative).
-
End at: Starting at 0, moving 1 unit to the left lands us at -1.
-
Answer: \( 0 + [-1] = -1 \)
---
Final Answers:
\[
\boxed{
\begin{aligned}
&\text{a. } -3 + 7 = 4 \\
&\text{b. } 2 + [-5] = -3 \\
&\text{c. } -1 + [-2] = -3 \\
&\text{d. } 6 + [-4] = 2 \\
&\text{e. } -6 + 12 = 6 \\
&\text{f. } 0 + [-1] = -1 \\
\end{aligned}
}
\]
---
Explanation:
Each problem involves starting at a given point on the number line and moving either to the right (for positive numbers) or to the left (for negative numbers). The final position after the movement gives the result of the addition. This method helps visualize integer addition and understand how positive and negative numbers interact.
Parent Tip: Review the logic above to help your child master the concept of printable numbers lines integer worksheet.
