Math Problem Statement

Evaluate the expression by finding the absolute value.

|10| – |‐5| + |‐3|

Solution

To evaluate the given expression 105+3|10| - |-5| + |-3|, let's break it down step by step by finding the absolute value of each number:

  1. 10=10|10| = 10 (since the absolute value of a positive number is the number itself).
  2. 5=5|-5| = 5 (since the absolute value of a negative number is the positive version of the number).
  3. 3=3|-3| = 3 (similarly, the absolute value of 3-3 is 33).

Now substitute these values into the expression:

105+3=810 - 5 + 3 = 8

So, the value of the expression is 8.

Would you like further details or have any questions?

Here are 5 related questions for practice:

  1. Evaluate 74+2|7| - |-4| + |2|.
  2. Find the value of 83+5|-8| - |3| + |5|.
  3. What is 02+6|0| - |-2| + |6|?
  4. Solve 9+14|-9| + |-1| - |4|.
  5. Evaluate 1512+8|15| - |-12| + |8|.

Tip: The absolute value of any number is always non-negative.

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Basic Arithmetic

Formulas

|a| = a if a >= 0, |a| = -a if a < 0

Theorems

-

Suitable Grade Level

Grades 5-7