Compare Absolute Value of Integers

To compare the absolute values of integers, you need to understand what absolute value represents.

What is Absolute Value?
The absolute value of an integer is its distance from zero on the number line. It essentially tells you the magnitude of the number without considering its sign (positive or negative).

• The absolute value of a positive integer is the integer itself. For example, the absolute value of 5 (written as |5|) is 5.
• The absolute value of a negative integer is its positive counterpart. For example, the absolute value of -3 (written as |-3|) is 3.
• The absolute value of zero (written as |0|) is 0.

The following diagram shows some examples of the absolute value of integers. Scroll down the page for more examples and solutions on absolute values.

 

Integer Worksheets
Practice your skills with the following integer worksheets:
Printable & Online Integer Worksheets

Lessons on Integers
Integers and Integer Operations

Steps to Compare Absolute Values of Integers:

1. Find the Absolute Value of Each Integer:
   If the integer is positive or zero, its absolute value is the same as the integer.
   If the integer is negative, its absolute value is the positive version of that integer (remove the negative sign).
   
2. Compare the Resulting Non-Negative Values:
   Once you have the absolute values, you can compare them just like you compare any two non-negative numbers.

Comparing Absolute Value of Integers
This video provides three example of comparing integers and absolute value of integers using great than, less than, and equals.
Evaluate the absolute values and then compare.

• Show Step-by-step Solutions

Absolute Value and Evaluating Numbers

• Show Step-by-step Solutions

Integers: Ordering and Comparing and Advanced Absolute Value

• Show Step-by-step Solutions

Absolute value of a number

• Show Step-by-step Solutions

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