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Integers

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)

3+3=6

-3-3=(-3)+(-3)=(-6)

They act differently under multiplication though.

4*5=20

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

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

I THINK THE ANSWER IS NATURAL NUMBER
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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6y ago
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12y ago

Positive integers are greater than zero, negative integers are less than zero.

The set of positive integers is closed under multiplication (and form a group), the set of negative integers is not.

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14y ago

The integers are {..., -2, -1, 0, 1, 2, ...}. The positive integers are those greater than 0 and the negative integers are those less than 0. Note that 0 is neither positive nor negative.

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14y ago

negative integers are 0 or below eg: -1, -2, -3... positive integers are 0 or above eg: 1, 2, 3, 4, 5... higher the negative integer, less value it has eg: -11 has less value than -9

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11y ago

If it has a minus sign, it is negative.

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Q: What is the difference between positive integers and negative integers?
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Related questions

Difference between natural number and integer?

natural numbers can not be negative. integers can be both positive and negative.


Is zero a negative integers or positive integers?

Neither. It is in between positive and negative but it is still an integer.


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Is the difference of two negative integers always positive?

If difference is taken to mean the first number minus the second then the answer can be positive or negative (or zero if the two numbers are the same). For example: the difference between -5 and -3 is -2 while the difference between -3 and -5 is +2.


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The difference depends on the integers. If the first integer is greater than the second then difference is positive. If the first integer is less than the second then difference is negative. For example 6-4 = +2; 4-6 = -2


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What is the difference between directed number and integers?

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What are 4 different ways you can tell the difference between positive and negative integers?

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Why is zero neutral?

basically zero is neutral, because its nor positive nor negative. its also in between positive and negative integers.