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

Updated: 4/28/2022 Wiki User

12y ago

There are just three possible cases:

Positive integer: positive x positive = positive.

Negative integer: negative x negative = positive.

Zero: zero x zero = zero. Wiki User

12y ago   Earn +20 pts
Q: Why does the product of an integer multiplied by itself cannot be negative?
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### Can a negative fraction be an integer?

Yes. eg: a fraction -4/2 = -2 an integer

### Why cant a negative integer be greater than a positive integer?

By definition, a negative integer is any integer less than zero. Similarly, a positive integer is any integer greater than zero. It should be immediately obvious that an integer cannot be both less than and greater than zero. Therefore, a negative integer cannot be greater than a positive integer.

### The sum of zero and a negative integer is always sometimes or never zero?

The sum of zero and a negative integer can never be zero - it will always be negative and nonzero. Although zero is also an integer, it is neither negative nor positive and cannot be the other integer used.

### What is puls multiplied by minus?

You cannot multiply "operations" together, that is meaningless. If you are referring to a positive number multiplied by a negative number, the result would be negative.

### Why negative pi is a negative rational number that is not an integer?

The question cannot be answered because it is based on a false premise: negative pi is NOT a negative rational number.

### What can you conclude about the signs of two integers whose product is positive and negative?

The product of two integers cannot be "positive and negative".

### Why is the product of of two negative integers always negative?

The question cannot be answered because it is based on the wrong premise that "the product of two negative integers always negative".

### What is the greatest product of 11?

That number is infinite. There is no number so large that it cannot be multiplied by 11.

### What is the difference between signed integer and unsigned integer?

An unsigned integer cannot be negative. It has a maximum positive value twice that of a signed integer. Max signed: 128 Max signed: 256 I could be off by one there, though.

### Why -1 is the greatest integer?

It is not - so the question is seriously flawed. If you stated that -1 was the greatest (most positive) negative integer you would be correct. However, numbers are infinite so you cannot state a greatest integer. Integers are both positive and negative numbers, but have to be whole numbers

### Can 1.56 be an integer?

1.56 cannot be an integer, since the set of integers do not include any decimal numbers, only whole numbers, negative or positive (including 0).

### What does it mean when an integer has parallel lines around it?

It means the absolute value of the integer, or its distance from 0. Since a distance cannot be negative, the absolute value is always positive.