- Plotting and Comparing Signed Numbers
- Home
- Plotting integers on a number line
- Ordering integers
- Using a number line to compare integers
- Writing a signed number for a real-world situation
- Comparing signed numbers relating to a real-world situation
- Plotting opposite integers on a number line
- Finding opposites of integers
- Absolute value of a number
- Finding all numbers with a given absolute value
- Plotting rational numbers on a number line
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Absolute value of a number
The marks || (parallel bars) around a number give the absolute value of the number.
The absolute value of a number is its distance from 0 on the number line.
Also, the absolute value of any number (other than 0) is always positive.
Formula
|a|, the absolute value of ‘a’, is its distance ‘a’ units from 0 on the number line.
For example
|9|, the absolute value of ‘9’, is its distance ‘9’ units from 0 on the number line
Similarly,
|−12|, the absolute value of ‘−12’, is its distance ‘12’ units from 0 on the number line
Find the absolute value of the following number:
35
Solution
Step 1:
The absolute value of any number (other than 0) is always positive.
Step 2:
The absolute value of the number 35 is
|35| = 35
Find the absolute value of the following number:
−72
Solution
Step 1:
The absolute value of any number (other than 0) is always positive.
Step 2:
The absolute value of the number −72 is |−72| = 72
Find the following absolute value:
|9−2|
Solution
Step 1:
The absolute value of any number (other than 0) is always positive.
Step 2:
The absolute value is found by simplifying.
|9−2| = |7| = 7