1. 8 - 79 2. -19 + (-17) 3. 39 + (-6) 4. -543 + 217 5. 14 + (-42) 6. 11 - 46 7. Evaluate if a = -312 and b = 405: -a + -b 8. Evaluate if x = 7 and y = -31: -x - y 9. |47 + (-58)| -... 1. 8 - 79 2. -19 + (-17) 3. 39 + (-6) 4. -543 + 217 5. 14 + (-42) 6. 11 - 46 7. Evaluate if a = -312 and b = 405: -a + -b 8. Evaluate if x = 7 and y = -31: -x - y 9. |47 + (-58)| - 71 10. -|17 - (-62)|

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Understand the Problem

The question consists of a series of mathematical expressions that require evaluation or simplification. Each item ranges from basic arithmetic to absolute value calculations and variable evaluations.

Answer

1. -71 2. -36 3. 33 4. -326 5. -28 6. -35 7. -93 8. 24 9. -60 10. -79
Answer for screen readers
  1. -71
  2. -36
  3. 33
  4. -326
  5. -28
  6. -35
  7. -93
  8. 24
  9. -60
  10. -79

Steps to Solve

  1. Evaluate each expression individually

    Start by solving each mathematical expression step by step.

  2. Calculate 8 - 79

    This is a simple subtraction:

    $$ 8 - 79 = -71 $$

  3. Calculate -19 + (-17)

    This involves adding two negative numbers:

    $$ -19 + (-17) = -36 $$

  4. Calculate 39 + (-6)

    This is adding a negative number:

    $$ 39 - 6 = 33 $$

  5. Calculate -543 + 217

    Subtract the smaller number from the larger one:

    $$ -543 + 217 = -326 $$

  6. Calculate 14 + (-42)

    Again, this is adding a negative number:

    $$ 14 - 42 = -28 $$

  7. Calculate 11 - 46

    This involves subtraction:

    $$ 11 - 46 = -35 $$

  8. Evaluate -a + -b if a = -312 and b = 405

    Substitute the values of a and b:

    $$ -(-312) - 405 = 312 - 405 = -93 $$

  9. Evaluate -x - y if x = 7 and y = -31

    Substitute the values for x and y:

    $$ -7 - (-31) = -7 + 31 = 24 $$

  10. Calculate |47 + (-58)| - 71

    First, compute inside the absolute value:

    $$ |47 - 58| = |-11| = 11 $$

Then perform the subtraction:

$$ 11 - 71 = -60 $$

  1. Calculate -|17 - (-62)|

    First, resolve inside the absolute value:

    $$ 17 + 62 = 79 $$

Then apply the negative:

$$ -|79| = -79 $$

  1. -71
  2. -36
  3. 33
  4. -326
  5. -28
  6. -35
  7. -93
  8. 24
  9. -60
  10. -79

More Information

Each expression showcases basic operations like addition, subtraction, and the use of absolute values. These skills are foundational in arithmetic and essential for understanding more complex mathematical concepts.

Tips

  • Confusing addition of negative numbers with subtraction.
  • Misapplying the absolute value operator.
  • Forgetting to apply the correct signs when substituting values for variables.

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