Let's solve each of the problems on the worksheet step by step. The task is to
add and subtract rational numbers, which includes integers (positive and negative). We'll go through each one carefully.
---
1) (-46) - 10
Subtracting a positive number from a negative number makes it more negative:
$$
-46 - 10 = -56
$$
✔ Answer: -56
---
2) (-25) - 22
Again, subtracting a positive number from a negative:
$$
-25 - 22 = -47
$$
✔ Answer: -47
---
3) 74 - 64
Simple subtraction:
$$
74 - 64 = 10
$$
✔ Answer: 10
---
4) 53 - (-44)
Subtracting a negative is the same as adding:
$$
53 - (-44) = 53 + 44 = 97
$$
✔ Answer: 97
---
5) (-92) + (-39)
Adding two negative numbers:
$$
-92 + (-39) = -131
$$
✔ Answer: -131
---
6) 60 - 86
Subtracting a larger number from a smaller one gives a negative result:
$$
60 - 86 = -26
$$
✔ Answer: -26
---
7) 96 + 80
Simple addition:
$$
96 + 80 = 176
$$
✔ Answer: 176
---
8) 26 + 3
$$
26 + 3 = 29
$$
✔ Answer: 29
---
9) 14 + (-39)
Adding a negative is the same as subtracting:
$$
14 + (-39) = 14 - 39 = -25
$$
✔ Answer: -25
---
10) 36 - (-64)
Subtracting a negative means adding:
$$
36 - (-64) = 36 + 64 = 100
$$
✔ Answer: 100
---
✔ Final Answers:
1) -56
2) -47
3) 10
4) 97
5) -131
6) -26
7) 176
8) 29
9) -25
10) 100
---
🔍 Key Concepts Used:
-
Subtracting a negative → becomes
addition
-
Adding two negatives → add absolute values, keep negative sign
-
Negative minus positive → becomes more negative
-
Positive minus larger positive → negative result
Let me know if you'd like this in a printable format or with explanations for students!
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting decimals worksheet 7th grade.
