Math Problem Statement

Write the absolute value of each integer and evaluate the expressions as shown in the image.

Solution

Let's solve the problems shown in the image:

Write the absolute value of each integer:

  1. 17: The absolute value of 1717 is 17=17|17| = 17.
  2. -5: The absolute value of 5-5 is 5=5|-5| = 5.
  3. -8: The absolute value of 8-8 is 8=8|-8| = 8.

Evaluate each expression:

  1. | -15 | - 8:

    • First, find the absolute value of 15-15, which is 15=15| -15 | = 15.
    • Now, subtract 8: 158=715 - 8 = 7.
  2. 12 + | -2 |:

    • First, find the absolute value of 2-2, which is 2=2| -2 | = 2.
    • Now, add 12: 12+2=1412 + 2 = 14.

If you have any questions or need more explanation, feel free to ask!

Here are 5 related questions to expand on this:

  1. What is the absolute value of 100-100?
  2. How would you evaluate 20+5| -20 | + 5?
  3. What is the result of 93| -9 | - 3?
  4. Can the absolute value of any number ever be negative?
  5. What happens when you subtract an absolute value from a negative number?

Tip: Absolute values measure the distance from zero, so they are always non-negative.

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Basic Arithmetic

Formulas

|x|, where |x| = x if x >= 0 and |x| = -x if x < 0

Theorems

Absolute Value Theorem: The absolute value of any real number is always non-negative.

Suitable Grade Level

Grades 6-8