Why Do Solutions Sometimes Differ from Absolute Values?

Click For Summary
SUMMARY

The discussion centers on the concept of absolute value in mathematics, specifically addressing why solutions to equations may not align with their absolute values. It is established that absolute value represents the distance of a number from zero on the number line. For example, the absolute value of -4 is 4. The conversation encourages further exploration of the mathematical definition of absolute value for deeper understanding.

PREREQUISITES
  • Understanding of basic mathematical concepts
  • Familiarity with number lines and their representations
  • Knowledge of absolute value definitions and properties
  • Basic algebra skills for solving equations
NEXT STEPS
  • Research the mathematical definition of absolute value on Wikipedia
  • Explore examples of equations involving absolute values
  • Learn about the properties of absolute value in algebra
  • Study the implications of absolute values in real-world applications
USEFUL FOR

Students, educators, and anyone interested in enhancing their understanding of mathematical concepts, particularly those involving absolute values and their applications in equations.

LindseyM2011
Messages
4
Reaction score
0
In equations dealing with absolute value sometimes the answer to the equation does not coorospond with the absolute value. Why is this?
 
Physics news on Phys.org
simply put i believe when you have an the absolute value is how far the number is away from zero on the number line. So if you had the absolute value of -4, it would be four.

try this for further understanding, including the real mathmatical definition

http://en.wikipedia.org/wiki/Absolute_value
 

Similar threads

High School Binary variables (Absolute values)
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Why is the absolute value of sinx used in the integral of cotx?
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Why is the term 'norm' used instead of 'absolute value' in vector spaces?
  • · Replies 2 ·
Replies
2
Views
14K
Need help in manipulating rational absolute value inequalities
  • · Replies 11 ·
Replies
11
Views
3K
How Do You Solve Complex Absolute Value Inequalities?
  • · Replies 4 ·
Replies
4
Views
2K
MHB Why Does Vector Norm Use "Double" Absolute Value?
  • · Replies 3 ·
Replies
3
Views
5K
Undergrad Absolute difference between increasing sum of squares
  • · Replies 22 ·
Replies
22
Views
3K
Undergrad Change of variables; why do we take the absolute value?
  • · Replies 6 ·
Replies
6
Views
5K
Undergrad Why does the half of the absolute value of a matrix formed with its coordinates give
  • · Replies 3 ·
Replies
3
Views
3K
High School Understanding Absolute Value and the Symbol ||: What Does it Mean?
  • · Replies 12 ·
Replies
12
Views
2K