Question
Calculate: a) \( (-8)+5 \) d) \( 12+(-7) \) g) \( 3+4 \) i) \( 3+(-4) \) m) \( (-12)+8 \) p) \( (-11)+(-15) \)
Ask by Bowers Schofield. in South Africa
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
- **a)** \(-3\)
- **d)** \(5\)
- **g)** \(7\)
- **i)** \(-1\)
- **m)** \(-4\)
- **p)** \(-26\)
Solution
Sure, let's solve each of the given addition problems step by step.
### a) \( (-8) + 5 \)
When adding a negative number and a positive number, subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.
\[
-8 + 5 = -(8 - 5) = -3
\]
**Answer:** \(-3\)
---
### d) \( 12 + (-7) \)
Similarly, subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.
\[
12 + (-7) = 12 - 7 = 5
\]
**Answer:** \(5\)
---
### g) \( 3 + 4 \)
Both numbers are positive, so simply add their values.
\[
3 + 4 = 7
\]
**Answer:** \(7\)
---
### i) \( 3 + (-4) \)
Subtract the smaller absolute value from the larger one and keep the sign of the number with the larger absolute value.
\[
3 + (-4) = -(4 - 3) = -1
\]
**Answer:** \(-1\)
---
### m) \( (-12) + 8 \)
Subtract the smaller absolute value from the larger one and keep the sign of the number with the larger absolute value.
\[
-12 + 8 = -(12 - 8) = -4
\]
**Answer:** \(-4\)
---
### p) \( (-11) + (-15) \)
When adding two negative numbers, add their absolute values and keep the negative sign.
\[
-11 + (-15) = -(11 + 15) = -26
\]
**Answer:** \(-26\)
---
### Summary of Results:
- **a)** \(-3\)
- **d)** \(5\)
- **g)** \(7\)
- **i)** \(-1\)
- **m)** \(-4\)
- **p)** \(-26\)
Reviewed and approved by the UpStudy tutoring team
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Sure! Here are the calculations for each expression: a) \( (-8)+5 = -3 \) d) \( 12+(-7) = 5 \) g) \( 3+4 = 7 \) i) \( 3+(-4) = -1 \) m) \( (-12)+8 = -4 \) p) \( (-11)+(-15) = -26 \)
