# absolute value

noun, Mathematics
1.
Also called numerical value. the magnitude of a quantity, irrespective of sign; the distance of a quantity from zero. The absolute value of a number is symbolized by two vertical lines, as |3| or |−3| is equal to 3.
2.
the square root of the sum of the squares of the real and imaginary parts of a given complex number, as |a + b i | is equal to .
Also called modulus.
Origin of absolute value
1905-1910
1905-10
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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Examples from the Web for numerical value
Historical Examples
• Every letter of a word is reduced to its numerical value, and the word is explained by another of the same quantity.

• Examples of bar and dot numeral 5, showing the ornamentation which the bar underwent without affecting its numerical value.

Sylvanus Griswold Morley
• This rule depends on the numerical value of each letter in the alphabet.

• The numerical value of the population was estimated from the Crespi diary as 2,400.

• This is accomplished by the use of a score-card, which recognizes certain qualities and gives to each a numerical value.

Charles Thom and Walter Warner Fisk
• The lives of men were estimated by heroes and conquerors in those days only at their numerical value in swelling the army roll.

Jacob Abbott
• Experts, on the other hand, find the higher wisdom in the numerical value of the letters and in the manifold changes of the words.

Heinrich Graetz
• The positive quantity or number obtained from a negative quantity or number by omitting the “−” is called its numerical value.

• Sh is on line 103, which is the numerical value of the word Shakespeare.

William T. Smedley
• The old B retained the numerical value of the Greek β as 2, and no numerical value was given to the new symbol.

British Dictionary definitions for numerical value

## absolute value

noun (maths)
1.
the positive real number equal to a given real but disregarding its sign. Written | x |. Where r is positive, | r | = r = | –r
2.
Also called modulus. a measure of the magnitude of a complex number, represented by the length of a line in the Argand diagram: |x + iy | = √(x² + y²), so | 4 + 3i | = 5
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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numerical value in Science
 absolute value   The value of a number without regard to its sign. For example, the absolute value of +3 (written |+3|) and the absolute value of -3 (written |-3|) are both 3.
The American Heritage® Science Dictionary
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### Difficulty index for absolute value

Few English speakers likely know this word

### Word Value for numerical

13
18
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