|Comparing absolute values|
|Exercise Name:||Comparing absolute values|
|Math Missions:||6th grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission, Mathematics I Math Mission|
|Types of Problems:||1|
The Comparing absolute values exercise appears under the 6th grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission and Mathematics I Math Mission. This exercise practices absolute values and inequality symbols.
Types of Problems
There is one type of problem in this exercise:
- Compare the two values with each other: This problem has two expressions which may include absolute values. The student is asked to compare the final values of the expressions using the appropriate inequality (or possibly =) symbol.
This exercise is medium to get accuracy badges because sometimes the size of numbers can be deceiving in absolute value. The speed badges are easy once the possible deception in magnitude is overcome.
- The absolute value is the magnitude of the distance from zero.
- More algebraically, absolute value of a positive number is the number, whereas absolute value of a negative number is the opposite of that number.
- Sometimes it is convenient to think of absolute value as the "positive" of the number provided.
- The numbers on this exercise can sometimes involve decimals.
- The answer will always be positive (except possibly zero).
- Absolute value can be used in applications connecting algebra to geometry.
- The absolute value function is an example of a continuous but non-differentiable function (specifically at zero).
- Absolute value extends into the concept of modulus for complex numbers.
- Negative numbers are used to describe values on a scale that goes below zero, such as the Celsius and Fahrenheit scales for temperature.