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This is because anything squared is always positive. For example: 1 times 1= 1 and (-1) times (-1)= 1. The only number that when squared will give you a negative number are irrational, such as i. i is equal to the square root of (-1).

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Q: Why is the product of an integer multiplied by itself can never be negative?
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Related questions

What is the product of greatest negative integer and smallest positive integer?

The smallest positive integer is 1. 1 is the multiplicative identity; ie anything times 1 is itself. The greatest negative integer is the most positive negative integer which is -1. Therefore the product of the greatest negative integer and the smallest positive integer is the greatest negative integer which is -1.


What is the product of an integer multiplied by itself?

An Exponent.


Why does the product of an integer multiplied by itself cannot be negative?

There are just three possible cases: Positive integer: positive x positive = positive. Negative integer: negative x negative = positive. Zero: zero x zero = zero.


Product of an integer multiplied by itself?

perfect square


What do you call an integer multiplied by itself?

The product is a perfect square.


What is a square numbers?

A square number is the product of an integer multiplied by itself.


Is NEGATIVE 36 a perfect square?

No. There is no integer that, when multiplied by itself, produces the answer -36.


What is the produkt of negative integer with itself?

A product of two integers is those two numbers multiplied together. If the product is two integers, it is called a square. Two negative integers are multiplied together by multiplying them together just as if they are positive. For example, -3x-3=9. It is exactly the same thing as squaring a positive integer.


Why cant an integer divided by itself be negative?

Because an integer can only go into itself once. For example: 10/10 is 1. The first 10 is multiplied by 1 to equal 10.


What is the word that goes with this definition the product of a number and itself?

That would be a square. If the number that was multiplied by itself is an integer, it would be a perfect square,


When a base of an exponential expression is apositive real number and exponent is an integer?

Then, if the exponent is a positive integer, the value is 1 multiplied by the base repeatedly, exponent times. If the exponent is a negative integer then it is the reciprocal of the above value.In either case, it is NOT the base multiplied by itself an exponent number of times.


What is perfict square?

A perfect square is an integer multiplied by itself.