Math Problem Statement
2∣−14−(−4)∣−18
Solution
Let's break down the expression step by step:
We are given:
Step 1: Simplify the inside of the absolute value.
So the expression becomes:
Step 2: Evaluate the absolute value.
The absolute value of is 10, since absolute value represents the distance from zero on the number line.
Step 3: Multiply and simplify.
So the expression becomes:
Final Answer:
Do you need any further clarification on this, or would you like to explore more related topics?
Here are some additional questions you can try:
- How would the expression change if the absolute value was on a different part of the expression, such as ?
- What happens if we replace with in the original expression?
- How do you handle absolute value expressions when they are combined with addition or subtraction?
- Can absolute value expressions ever result in a negative number?
- What are the properties of absolute value functions and their graphs?
Tip: Remember that absolute value always results in a non-negative number, regardless of whether the number inside is positive or negative.
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Math Problem Analysis
Mathematical Concepts
Absolute Value
Order of Operations
Arithmetic Operations
Formulas
|a| = a if a ≥ 0, |a| = -a if a < 0
Theorems
Absolute Value Properties
Suitable Grade Level
Grades 6-8