Let’s go through each problem one by one.
Remember:
- Adding a negative number is like subtracting: e.g., 5 + (-3) = 5 - 3
- Subtracting a negative number is like adding: e.g., 5 - (-3) = 5 + 3
- When you add two negatives, the result is more negative.
- When signs are different in addition/subtraction, subtract the smaller absolute value from the larger and keep the sign of the bigger number.
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1) 3 - (-5)
→ Subtracting a negative = adding → 3 + 5 =
8
2) 8 + 7
→ Simple addition →
15
3) 15 + (-8)
→ Same as 15 - 8 →
7
4) 5 + (-12)
→ Same as 5 - 12 → Since 12 > 5, answer is negative: -(12 - 5) =
-7
5) -2 + (-8)
→ Two negatives → add them and keep negative sign → -2 - 8 =
-10
6) 6 + (-12)
→ Same as 6 - 12 → 12 > 6 → answer is negative: -(12 - 6) =
-6
7) -16 + 8
→ Different signs → subtract: 16 - 8 = 8 → keep sign of bigger number (which is -16) →
-8
8) -13 + 13
→ Opposite numbers → they cancel out →
0
9) -15 - 5
→ Two negatives → -15 - 5 =
-20
10) 1 + (-30)
→ Same as 1 - 30 → 30 > 1 → answer is negative: -(30 - 1) =
-29
11) -30 + (-1)
→ Two negatives → -30 - 1 =
-31
12) 28 - (-2)
→ Subtracting negative = adding → 28 + 2 =
30
13) 6 - (-13)
→ Subtracting negative = adding → 6 + 13 =
19
14) -13 - (-6)
→ Subtracting negative = adding → -13 + 6 → different signs → 13 - 6 = 7 → keep sign of bigger number (-13) →
-7
15) -8 + (-12)
→ Two negatives → -8 - 12 =
-20
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Final Answer:
1) 8
2) 15
3) 7
4) -7
5) -10
6) -6
7) -8
8) 0
9) -20
10) -29
11) -31
12) 30
13) 19
14) -7
15) -20
Parent Tip: Review the logic above to help your child master the concept of adding subtracting multiplying and dividing negative numbers worksheet.
