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Question

The absolute value of a number can be denoted by which of the following?

A
The value of a number
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B
The opposite of a number
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C
The distance of a number from zero
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D
The multiplicative inverse of a number
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Solution

The correct option is C The distance of a number from zero
Absolute value of a number––––––––––––––––––––––––––––:
  • The value which refers to the distance of a number from 0" on the number line is called absolute value.
  • The absolute value of any integer, whether positive, negative or zero, will always be a positive integer or zero, regardless of which sign it has.
  • Absolute value is represented by two vertical lines |a|, which defines the magnitude/modulus of any integer a".

For example: 5 is the absolute value for both 5 and 5.

|5|=|+5|=5

The below diagram depicts the distance representation of absolute values of 5 and 5 on the number line.

Notes––––:
  • Absolute value of a positive number is the number itself.
  • Absolute value of zero is zero.
  • Absolute value of a negative number is (1 ×negative number).

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