Car- Integers - Coloring Squared - Free Printable

Problem Description:

The task involves solving a series of integer addition problems and then using the results to color a grid based on a provided key. The key assigns colors to specific ranges of integers:

- Red: -20 to -11
- Blue: -10 to -1
- Black: 0
- Yellow: 1 to 10
- Gray: 11 to 20

The goal is to solve each addition problem, determine the result, and use the key to assign a color to each cell in the grid.

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Step-by-Step Solution:

#### 1. Solve Each Addition Problem:
We will solve each addition problem in the grid step by step. Here are the calculations for the first few rows as examples:

- First Row:
- \((-2) + 1 = -1\) (Blue)
- \(4 + (-6) = -2\) (Blue)
- \((-5) + 3 = -2\) (Blue)
- \(5 + (-8) = -3\) (Blue)
- \((-7) + (-2) = -9\) (Blue)
- \((-5) + 3 = -2\) (Blue)
- \(4 + (-6) = -2\) (Blue)
- \(8 + (-6) = 2\) (Yellow)
- \(4 + 5 = 9\) (Yellow)
- \(7 + 3 = 10\) (Yellow)

- Second Row:
- \((-4) + 3 = -1\) (Blue)
- \((-9) + 5 = -4\) (Blue)
- \((-2) + 6 = 4\) (Yellow)
- \(4 + (-9) = -5\) (Blue)
- \(4 + (-6) = -2\) (Blue)
- \(4 + (-9) = -5\) (Blue)
- \(7 + 3 = 10\) (Yellow)
- \(7 + 3 = 10\) (Yellow)
- \((-4) + 6 = 2\) (Yellow)
- \(5 + (-2) = 3\) (Yellow)

- Third Row:
- \((-8) + 5 = -3\) (Blue)
- \((5) + (-9) = -4\) (Blue)
- \(2 + (-5) = -3\) (Blue)
- \(6 + (-5) = 1\) (Yellow)
- \(6 + (-3) = 3\) (Yellow)
- \(2 + (-6) = -4\) (Blue)
- \(4 + (-6) = -2\) (Blue)
- \((-6) + (-3) = -9\) (Blue)
- \(9 + (-4) = 5\) (Yellow)
- \(5 + (-2) = 3\) (Yellow)

- Fourth Row:
- \(5 + (-8) = -3\) (Blue)
- \((-2) + (-6) = -8\) (Blue)
- \(6 + (-8) = -2\) (Blue)
- \((-7) + (-2) = -9\) (Blue)
- \(4 + (-3) = 1\) (Yellow)
- \((-5) + 3 = -2\) (Blue)
- \(4 + (-6) = -2\) (Blue)
- \((-9) + 5 = -4\) (Blue)
- \(5 + (-8) = -3\) (Blue)
- \((-7) + (-2) = -9\) (Blue)

- Fifth Row:
- \((-4) + 3 = -1\) (Blue)
- \((5) + (-3) = 2\) (Yellow)
- \((-5) + 3 = -2\) (Blue)
- \((-9) + (-6) = -15\) (Red)
- \((-5) + 5 = 0\) (Black)
- \((-2) + (-2) = -4\) (Blue)
- \(5 + (-8) = -3\) (Blue)
- \((-7) + (-2) = -9\) (Blue)
- \(5 + (-8) = -3\) (Blue)
- \((7) + (-2) = 5\) (Yellow)

- Sixth Row:
- \((-5) + (-6) = -11\) (Red)
- \((8) + 5 = 13\) (Gray)
- \((-5) + 6 = 1\) (Yellow)
- \((-8) + 3 = -5\) (Blue)
- \((-10) + (-7) = -17\) (Red)
- \((-8) + 4 = -4\) (Blue)
- \(4 + (-6) = -2\) (Blue)
- \((-2) + (-6) = -8\) (Blue)
- \((-2) + 1 = -1\) (Blue)
- \((-2) + 1 = -1\) (Blue)

- Seventh Row:
- \((-6) + (-8) = -14\) (Red)
- \((5) + (-9) = -4\) (Blue)
- \((-3) + (-10) = -13\) (Red)
- \((6) + (-8) = -2\) (Blue)
- \((-8) + 3 = -5\) (Blue)
- \((-12) + (-7) = -19\) (Red)
- \((-7) + (-4) = -11\) (Red)
- \((-7) + (-5) = -12\) (Red)
- \((2) + (-6) = -4\) (Blue)
- \(5 + (-8) = -3\) (Blue)

- Eighth Row:
- \((-9) + (-10) = -19\) (Red)
- \((5) + (-8) = -3\) (Blue)
- \((-10) + (-7) = -17\) (Red)
- \((-7) + (-5) = -12\) (Red)
- \(1 + 1 = 2\) (Yellow)
- \(3 + (-3) = 0\) (Black)
- \((6) + (-5) = 1\) (Yellow)
- \((-5) + (-4) = -9\) (Blue)
- \(2 + 9 = 11\) (Gray)
- \((-1) + 2 = 1\) (Yellow)

- Ninth Row:
- \((5) + 3 = 8\) (Yellow)
- \((-2) + (-6) = -8\) (Blue)
- \(5 + (-8) = -3\) (Blue)
- \(2 + (-5) = -3\) (Blue)
- \(8 + (-8) = 0\) (Black)
- \((-9) + (-5) = -14\) (Red)
- \((5) + 3 = 8\) (Yellow)
- \((-2) + 1 = -1\) (Blue)
- \(2 + (-5) = -3\) (Blue)
- \((-7) + (-2) = -9\) (Blue)

- Tenth Row:
- \(2 + 9 = 11\) (Gray)
- \(2 + 9 = 11\) (Gray)
- \(10 + 8 = 18\) (Gray)
- \(8 + 4 = 12\) (Gray)
- \(7 + 5 = 12\) (Gray)
- \(10 + 8 = 18\) (Gray)
- \(9 + 4 = 13\) (Gray)
- \(3 + (-4) = -1\) (Blue)
- \(3 + (-8) = -5\) (Blue)
- \(10 + (-2) = 8\) (Yellow)

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#### 2. Color the Grid:
Using the results from the calculations, we can now color the grid according to the key. For example:
- All results between -20 and -11 are colored Red.
- All results between -10 and -1 are colored Blue.
- Results equal to 0 are colored Black.
- Results between 1 and 10 are colored Yellow.
- Results between 11 and 20 are colored Gray.

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Final Answer:

The final answer is the colored grid based on the solutions to the addition problems. Since I cannot visually represent the coloring here, the solution involves completing the grid with the appropriate colors as described above. If you need further clarification or assistance with any specific part, feel free to ask!

\boxed{\text{Colored Grid Based on Calculations}}