Can two different numbers have the same absolute value?

Duftgart3yb

Duftgart3yb

Answered question

2023-01-27

Can two different numbers have the same absolute value?

Answer & Explanation

Shania Whitaker

Shania Whitaker

Beginner2023-01-28Added 7 answers

A number's absolute value is its magnitude, disregarding its sign.
Thus there can be two real numbers with different signs such + a and - a who have an absolute value of a . Other examples could be + 1.01001000100001 ... . . and - 1.01001000100001 ... . . who have different signs but same absolute value, or for that matter - 73 3 and + 73 3 .
For every absolute value in the realm of real numbers, there are two distinct numbers with the same amount of value.However, if domain is Complex numbers, absolute value of a number a + b i is a 2 + b 2 and for each absolute value there could be infinite different numbers with same absolute value.
Example: 3 + 4 i , - 4 + 3 i , 1 + i 2 6 , - 5 - i 2 5 , - 5 i all have an absolute value of 5 .

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