Question #6440218Single Choice
Math 6
Question
What is the result of −8 + 5?
Options
A
−13
B
−3
C
3
D
13
Answer & Analysis
Answer
B
Analysis
Question Analysis
This question involves adding a negative integer and a positive integer, testing the understanding of how to combine numbers with opposite signs.
The key is to apply the rules of integer addition correctly to determine the result.
Key Concept Explanation
When adding a negative integer and a positive integer, think of it as combining a "debt" (negative value) with a "gain" (positive value).
The result's sign depends on which value has a greater magnitude, and the final value is the difference between their magnitudes.
Step-by-Step Solution
1. Identify the numbers and their signs:
Negative number: Positive number:
2. Compare the magnitudes (ignoring signs):
Magnitude of : 8
Magnitude of : 5
Since , the result will be negative.
3. Subtract the smaller magnitude from the larger one:
This question involves adding a negative integer and a positive integer, testing the understanding of how to combine numbers with opposite signs.
The key is to apply the rules of integer addition correctly to determine the result.
Key Concept Explanation
When adding a negative integer and a positive integer, think of it as combining a "debt" (negative value) with a "gain" (positive value).
The result's sign depends on which value has a greater magnitude, and the final value is the difference between their magnitudes.
Step-by-Step Solution
1. Identify the numbers and their signs:
Negative number: Positive number:
2. Compare the magnitudes (ignoring signs):
Magnitude of : 8
Magnitude of : 5
Since , the result will be negative.
3. Subtract the smaller magnitude from the larger one:
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