Basic Arithmetic Operations Quiz

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Questions and Answers

What is the result of $8 - 79$?

  • $-87$
  • $71$
  • $87$
  • $-71$ (correct)

Calculate the value of $-19 + (-17)$.

  • $36$
  • $-36$ (correct)
  • $2$
  • $-2$

What is the result of $-543 + 217$?

  • $-726$
  • $-3260$
  • $726$
  • $-326$ (correct)

If $a = -312$ and $b = 405$, what is the value of $-a + -b$?

<p>$717$ (A)</p> Signup and view all the answers

Evaluate $|47 + (-58)| - 71$. What is the result?

<p>$-3$ (A)</p> Signup and view all the answers

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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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