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Questions and Answers
What is the result of $8 - 79$?
What is the result of $8 - 79$?
- $-87$
- $71$
- $87$
- $-71$ (correct)
Calculate the value of $-19 + (-17)$.
Calculate the value of $-19 + (-17)$.
- $36$
- $-36$ (correct)
- $2$
- $-2$
What is the result of $-543 + 217$?
What is the result of $-543 + 217$?
- $-726$
- $-3260$
- $726$
- $-326$ (correct)
If $a = -312$ and $b = 405$, what is the value of $-a + -b$?
If $a = -312$ and $b = 405$, what is the value of $-a + -b$?
Evaluate $|47 + (-58)| - 71$. What is the result?
Evaluate $|47 + (-58)| - 71$. What is the result?
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Study Notes
Basic Arithmetic Operations
- Subtraction of integers can yield negative results: 8 - 79 equals -71.
- Adding two negative integers results in a more negative integer: -19 + (-17) equals -36.
- Combining a positive integer with a negative integer can decrease the overall value: 39 + (-6) equals 33.
Handling Negative Numbers
- Adding a negative integer to a more significant negative integer will lower the total: -543 + 217 equals -326.
- Subtracting a larger positive integer from a smaller one gives a negative result: 14 + (-42) equals -28.
- The result of subtracting a larger positive integer from a smaller one: 11 - 46 equals -35.
Evaluation of Expressions with Variables
- In expressions with variables, substituting values is necessary for evaluation.
- For a = -312 and b = 405, calculating -a + -b gives 312 + 405, resulting in 717.
- For x = 7 and y = -31, evaluating -x - y leads to -7 + 31, which equals 24.
Absolute Values and Their Calculations
- The absolute value represents the non-negative magnitude: |47 + (-58)| calculates to |-11|, ultimately equaling 11.
- Subtraction involving absolute values can lead to conflicts or refinements: computing -17 - (-62) equals -17 + 62, resulting in 45.
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