The square of anumber is always positive - True or False
Is the number zero ( 0 ) considered for the purpose of Square?
Is the above statement false as Zero is neither positive nor negative. Please clarify with reference, if any.
2007-02-20 22:28:39 · 3 answers · asked by SANGEETA MALWANKAR 1 in Science & Mathematics ➔ Mathematics
Positive and negative numbers are defined in terms of zero. Positive numbers are greater than zero, negative numbers are less than zero. According to these definitions, zero is neither positive nor negative.
As 0² = 0, 0² is also neither positive nor negative. Thus the statement "the square of a number is always positive" is false.
2007-02-20 22:34:36 · answer #1 · answered by Tom :: Athier than Thou 6 · 1⤊ 0⤋
Yes and no. The square of a real number will be positive (excpt for the case of zero because zero is neither positive of negative). The square of an imaginary number could be negative for example in the most simple case i^2 = -1 where i=sqrt(-1). Complex numbers dont usually appear until you start with some more heavy maths so depending on your level of understanding i wouldnt worry too much about them. For further information just ggoogle 'Complex Numbers' and I'm sure you will find alot of info
2016-05-24 01:35:37 · answer #2 · answered by Carmen 4 · 0⤊ 0⤋
It is false because0^2=0 which is not positiv
2007-02-20 23:33:20 · answer #3 · answered by santmann2002 7 · 0⤊ 0⤋