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Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
4.16 Integers - Positive and Negative Integers

Natural Numbers:
Natural Numbers are 1,2,3,4,5,................

Whole Numbers:
Whole Numbers are 0,1,2,3,4,5,...............

Positive Numbers:
Positive numbers are, 1,2 ,3 ,4 ,5.................

Negative Numbers:
Negative numbers are, ............-3, -2, -1. They are read as negative three, negative two, negative one.

A set containing the positive numbers, 1, 2, 3, 4, ...., and negative numbers,............-3, -2, -1, together with zero is called a set of integers.
In other words, Integers are defined as set of whole numbers and their opposites.
Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}
{1, 2, 3, . . .} is the set of positive integers
{ . . . -3, -2, -1} is the set of negative integers
Zero is not positive nor negative, but is both.

A positive integer has a (+) or addition sign in front of the number and looks like ( 5 or (+ 5). Also note that a positive integer doesn't need a sign.

A negative integer has a (-) or negative sign in front of the number and looks like (- 7). A negative integer can be thought of as owing someone something. Think of it as (-8) means owing someone 8 items or things.
Zero in neither positive or negative and is always larger than a negative integer.
Positive integers are always larger than zero and any negative number.
The larger a positive integer is, the bigger it is. Therefore a +7 is greater than a +5, written another way +7 > +5.
The larger a negative integer the smaller is its value. Therefore, (-6) < (-5).

Directions: Answer the following questions. Write your own examples of positive and negative integer problems.
Q 1: If an integer is greater than zero, we say that its sign is negative.

Q 2: Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5,

Q 3: Zero is neither positive nor negative.

Q 4: If an integer is less than zero, we say that its sign is negative.

Q 5: Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ... .

Q 6: Natural numbers are positive integers.

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!

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