Math Vocab

Introduction

Math is one of the many reasons why we have everything around us. This includes to cars, phones, houses, computers, cameras and many other useful things we use ever day.
People who created these things learn lots of math and vocabulary to invent these inventions. The words that they learn are the exact same vocabulary that we use today.

Knowing The Basics

Knowing The Basics

• Sum
• Difference
• Product
• Quotient

Sum

The word "Sum" defines the answer that you have in an addition equation

2 + 2 = (4)

Difference

The word "difference" defines the solution to a subtraction problem
4-2 = (2)

Product

A solution to a multiplication problem is called a "product"
4x2 =(8)

Quotient

Quotient is the solution to a division problem
8\ 2 = (2)

Types of Numbers

Types of Numbers

• Whole Numbers
• Natural Numbers
• Real Numbers
• Irrational Numbers
• Rational Numbers

Whole Numbers

A whole number is a number that has no fractions or decimal
1, 2, 3 1.5 1.9

Natural Number

Natural Numbers are counting numbers. This does not include negative numbers
1,2,3,4 and so on -1,-2,-3 and so one a natural number

Real Numbers

Real numbers can be thought of as points on an infinitely long number line.


Real Numbers

Irrational Numbers

Numbers that cannot be expressed as a simple fraction or whole number is an "Irrational Number"
Ex. pi=3.1456...

Rational Number

A Rational Number is a real number that can be written as a simple fraction
1/2 , 3/50

Didn't I Learn This In 6th Grade?

Types of Equations

• Expression
• Equation
• Formula
• Solution
• Literal Equations

Expression

Numbers, symbols and operators grouped together that show the value of something. This does not include an equal sign.
4x4

Equation

An equation says that two things are equal. It will have an equals sign.
4x4 =16

Formula

Formula is an equation that states a rule a relationship among quantities.

A= 1/2h(b1+b2)

Solution

A solution is any answer or result in any given equation

4x4=(16)

Literal Equation

A literal equation is an equation where variables represent known values.
A=Bh

Equation Terms

Equation Terms

• Quantity
• Variable
• Coefficient
• Constant

Quantity

Quantity is defined as a term that is in a expression, equation, ect. It is used with parenthesis and/or brackets.
(), [], {}

Variable

A variable is a letter or symbol that can be used for a value that changes.

a, b, c a+b =c

Coefficient

The number that is in front of the variable is a coefficient.
Coefficient->(3)x

Constant

Constant is a value that does not change.
3x+(4)

Types of Properties

Types of Properties

• Commutative Property
• Associative Property
• Distributive Property
• Identity Property

Commutative Property

Commutative Property is the property of changing the order of numbers with the same outcome (only applies to addition and mulitiplecation)

Associative Property

Associative Property is where the order of numbers grouped together doesn't affect the outcome

Distributive Property

Distributive Property is where multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

Identity Propery

Identity Property of Addition Adding is where zero to a number leaves it unchanged. In multiplication, the identity is one and nothing is changed.

The section contains words that couldn't in any of the other sections

More Words (YAY)

• Integer
• Absolute Value
• Recipocal

Absolute Value

Absolute Value is the distance a number is from 0 on a number line
|-56| =56

Integer

An integer is any whole number on the number line. It includes positive and negative numbers.
-2,-1,0,1,2

Reciprocal

Reciprocal To find the reciprocal of a fraction, flip it over, so that the numerator becomes the denominator and the denominator becomes the numerator.

8 -> 1/8 1 is the reciprocal of 8

Inequality Terms

Inequality Terms

• Inequality
• Compound Inequality
• Conjunction- AND
• Disjunction- OR

Inequality

An inequality is like an equation that uses symbols for "less than"() where an equation uses a symbol for "is equal to" (=).

Compound Inequality

A compound inequality is a combination of two or more inequalities joined by either an 'and' or an 'or.'
3

Compound -AND

Compound Inequality

is where two or more inequalities join together with an AND.

Disjunction -OR

A Disjunction Inequality is where two inequalities connected by the word “or.”

More Inequality Terms

Untitled Slide

• Intersection
• Union
• Contradiction
• Is At Least
• No More Than

Intersection

An Intersection is where the solutions to a compound inequality overlap on a number line.

Union

Union is the combined region that the solution overlaps in a graph.

Contradiction

A Contradiction is where the inequality has no solution no matter what numbers you plug in.

Is At Least

"At Least" is a verbal expression for the inequality symbol
_>_

No More Than

"No More Than" is a verbal expression for the inequality symbol
_

Conclusion

Math is around and everywhere we go. People always think that you will never use math in your future years, but eventually you will.

Isn't Math Great?