Let’s solve each problem step by step.
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Problem 1: -4 + -2
When you add two negative numbers, you add their absolute values and keep the negative sign.
-4 has an absolute value of 4
-2 has an absolute value of 2
4 + 2 = 6 → so the answer is
-6
Check: Starting at -4 on a number line, move 2 more steps left (because adding -2) → lands on -6
✔
→ Color the 1’s BLACK (since -6 matches “Color the 1’s BLACK”)
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Problem 2: -14 + 4
This is adding a positive to a negative. You subtract the smaller absolute value from the larger one and keep the sign of the number with the bigger absolute value.
|-14| = 14, |4| = 4 → 14 - 4 = 10
Since -14 is bigger in size and negative → answer is
-10
Check: Start at -14, move 4 right → -13, -12, -11, -10
✔
→ Color the 2’s ORANGE (since -10 matches “Color the 2’s ORANGE”)
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Problem 3: 8 + -22
Same as 8 - 22. Subtract 8 from 22 → 14, and since 22 is bigger and negative → answer is
-14
Check: Start at 8, go down 22 → 7,6,5,...,-14
✔
→ Color the 3’s PURPLE (since -14 matches “Color the 3’s PURPLE”)
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Problem 4: -5 + 12
Add a negative and a positive. Subtract smaller absolute value from larger: |12| - |-5| = 12 - 5 = 7
Positive wins because 12 > 5 → answer is
7
Check: Start at -5, go up 12 → -4, -3, ..., 0, 1, 2, 3, 4, 5, 6, 7
✔
→ Color the 4’s GREEN (since 7 matches “Color the 4’s GREEN”)
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Now let’s match all answers to coloring instructions:
- Problem 1: -6 → Color the 1’s BLACK
- Problem 2: -10 → Color the 2’s ORANGE
- Problem 3: -14 → Color the 3’s PURPLE
- Problem 4: 7 → Color the 4’s GREEN
Final Answer:
Color the 1’s BLACK, 2’s ORANGE, 3’s PURPLE, and 4’s GREEN according to the solved sums.
Parent Tip: Review the logic above to help your child master the concept of integer color by number worksheet.
