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PSAT Prep: Help and Review18 chapters | 194 lessons

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Lesson Transcript

Instructor:
*Kimberlee Davison*

Kim has a Ph.D. in Education and has taught math courses at four colleges, in addition to teaching math to K-12 students in a variety of settings.

Numbers can be categorized a variety of ways. In this lesson, learn about positive numbers. Find out how to determine if a number is positive using some simple guidelines.

A **positive number** is any number that represents *more than zero* of anything. If you are talking about dollars in your bank account, a positive number will definitely make you feel positive too.

Positive numbers are possibly the only kind of number you came across until after elementary school. In fact, until you hit advanced arithmetic or pre-algebra, you might have just referred to positive numbers as 'numbers' and not been aware that there was anything else. Positive numbers include the **natural** or counting numbers like 1,2,3,4,5, as well as fractions like 3/5 or 232/345, and decimals like 44.3. Even **irrational** numbers like pi or the square root of two are positive unless you put a negative sign in front of them.

The opposite of positive number are **negative** numbers like -2 or -5/9. These are values that are less than zero.

In math classes, you often are required to think about numbers in the abstract without connecting them to some amount of something in the real world. In the abstract, positive numbers are the numbers to the right of zero on the number line.

In the real world, however, positive numbers are connected to amounts of something that are more than zero, like dollars in your bank account. You *could* have a negative number of dollars, but you couldn't withdraw it. It is a debt you owe. On the other hand, the number of cookies you have in your cookie jar is always positive. You can't really eat a cookie before it is baked the same way you spend money before it is earned.

Another way positive numbers might come up in the real world is in measuring a distance *above* some reference point, such as ground level. For example, the tip of the Empire State Building is a positive number of feet above ground, while a well's bottom would be below ground and so indicated by a negative number.

Another common reference point is sea level. Positive numbers might indicate the number of feet above sea level, while negative numbers would indicate the number of feet below.

Strange as it sounds, zero is not positive and not negative. It is neither.

There is a general rule about positive numbers. In math class, you might call it a **property**, that says that if you add any two positive numbers, you have to end up with *more* than either of the two numbers you started with.

For example, 2 + 3 = 5. Five is more than two *and* it is more than three.

On the other hand, 0 + 3 = 3. The three on the right is the same as the three on the left. You didn't end up with any more than you started with.

Think of it this way: if you add a positive amount of money to your bank account, it *always* makes your balance higher.

Let's review:

A **positive number** is any number that represents *more than zero* of anything. Positive numbers include the **natural**, or counting numbers like 1,2,3,4,5, as well as fractions like 3/5 or 232/345, and decimals like 44.3. Even **irrational** numbers like pi or the square root of two are positive unless you put a negative sign in front of them. Zero is neither negative, nor positive. Positive numbers have a **property** that states if you add any two positive numbers, you have to end up with 'more' than either of the two numbers you started with.

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PSAT Prep: Help and Review18 chapters | 194 lessons

- What are the Different Types of Numbers? 6:56
- How to Find the Greatest Common Factor 4:56
- How to Find the Prime Factorization of a Number 5:36
- How to Find the Least Common Multiple 5:37
- How to Find and Classify an Arithmetic Sequence 9:09
- What is a Mathematical Sequence? 5:37
- Mathematical Sets: Elements, Intersections & Unions 3:02
- Critical Thinking and Logic in Mathematics 4:27
- How to Calculate a Permutation 6:58
- What is an Absolute Value? 4:42
- How to Calculate an Arithmetic Series 5:45
- What are Irrational Numbers? - Definition & Examples 6:36
- What is Subtraction in Math? - Definition, Methods & Examples 7:02
- What is the Multiplication Rule for Limits? - Definition & Concept
- How to Write a Numerical Expression? - Definition & Examples 3:24
- Inverse Operations in Math: Definition & Examples 4:50
- Inverse Property: Definition & Examples 3:05
- Like Terms in Math: Definition & Examples 3:06
- Numerator: Definition & Concept
- Positive Numbers: Definition & Examples 3:33
- Go to PSAT Math - Numbers and Operations: Help and Review

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