What is the difference between positive integers and negative integers?

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November 25, 2017 11:52AM


The integers are a special set of numbers often called whole numbers.

Whole numbers, however, consist of the counting numbers 1,2,3,4,5,6,7,8,9,10,11,..

along with zero. The integers is a larger set because it includes the negatives of

the counting numbers-1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, ...

Integers form an algebraic group under addition and are closed under multiplication.

The integers are the natural numbers (also called counting numbers) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ... and their negatives -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, ... and 0.

Zero is the additive identity and for any integer x its additive inverse is -x (i.e. x - x = x + (-x) = (-x) + x = 0).

Also -(-x)=x

Difference Between Positive and Negative Integers

Zero IS an integer, but it is neither positive or negative. It is sometimes called "non-negative," but it is not positive. Positive integers are also called "natural" or "counting" numbers. You use them to count: 0,1,2,3,4,5... Negative integers are the "opposite" of counting numbers. The opposite of 1 is minus(negative) 1. The opposite of 2 is minus 2. And so on. These negative numbers are steps backwards on a number line.

Here are more opinions and answers from other FAQ Farmers:

  • An integer is any whole number that doesn't contain anything beyond (to the right of) the decimal point. Positive and Negative are adjectives that describe the integer. Positive means greater than or equal to 0 (eg. 0,1,2,3,4,5...) and negative means less than or equal to 0 (eg. 0,-1,-2,-3,-4,-5...). Negative integers are preceded with a "-" sign except for 0 because -0=0.

The set of positive integers and the set of negative integers when used by themselves act the same way under addition (they are just spelt a little differently)



They act differently under multiplication though.


(-4)*(-5)=20 (not -20)

but (-4)*5=4*(-5)=-20

positive integers are numbers with a value greater than zero (0) and negative integers are numbers with a value less than zero (0)
The set of counting numbers: 1, 2, 3, 4, 5 and so on.
A positive integer is an integer above 0. A negative integer is an integer below 0. 0 is neutral, so it's neither positive nor negative.

it may also be necessary to say an integer is basically a number. so any number above or below zero

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July 12, 2012 2:37AM

If it has a minus sign, it is negative.