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The topic Absolute value word problems is a topic under the 6th grade (U.S.) Math Mission. This exercise works word problems that involve absolute value.

Types of Problems

There are two types of problems in this exercise:

  1. Compare the magnitudes and actual values: This problem provides a situation in which negative numbers may represent certain quantities. Students are asked to compare the numbers as numbers, but also in magnitude via their absolute value.
    Avwp1

    Compare the magnitudes and actual values

  2. Find the numbers that work: This problem provides several conditions phrased in mathematical and algebraic symbols. The student is asked to select all the numbers that satisfy all of the conditions from a multiple select list.
    Avwp2

    Find the numbers that work

Strategies

This exercise is medium to get accuracy badges because one of the problem types requires a bit of care. The speed badges are medium because of the care needed on that problem also.

  1. The Compare the magnitudes and actual values problem can be done smoothly by just looking at the value for the first answer, and the magnitude for the second (usually).
  2. The Find all numbers that work problem should be done carefully and patiently. The required timing is set fairly, so take the time to be careful and the speed badges will come.

Real-life Applications

  1. Absolute value can be used in applications connecting algebra to geometry.
  2. The absolute value function is an example of a continuous but non-differentiable function (specifically at zero).
  3. Absolute value extends into the concept of modulus for complex numbers.

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