Polygon

A plane figure bounded by three or more straight-line sides.

Exponent

The exponent of a number shows you how many times the base number is to be used in a multiplication.

2^{3} Three is usually a smaller number (smaller in physical size).

Algebra

A branch of mathematics

in which

letters and other symbols

are used to represent

numbers and quantities in

formulas and equations.

Expanded Form

It shows each digit of a number in its place value

5,372 = 5,000+300+70+2

Factors

Factors are numbers that you multiply together to create a product.

Divisor

The number that divides the dividend.

For example,

when you divide 10 by 2 (10÷2 = 5), 2 is the divisor.

Commutative property

Changing the order of two factors, or addends does not change the product

Addition and Multiplication are commutative,

Division and Subtraction are not.

Base

The base is the number that is multiplied by the exponent.

it is usually a larger number (larger in physical size).

Place Value

The numerical value that a digit has by virtue of its position in a number.

Multiplication property of 1

The product of 1 and any number is that same number.

What Is an Algebraic Expression?

An expression composed of Numbers, Variables, and Operators (+,-,x,÷) no equality or inequality signs

Following is a list of some examples:

2a,

4a+b,

a2,

a-3b.

Division Property of 1

The quotient of any number and 1 is that same number

Subtraction Properties of zero

The difference of any number and that same number is zero

11-11=0

Borowing

To take from (in subtraction) one denomination and add to the next lower.

Quotient

The number resulting from division.

Period

The completion of a number cycle 1,10,100,1000,10,000 etc.

Order of Operations

A rule used to clarify which procedures should be performed first in a given mathematical expression.

(PEMDAS) parentheses exponents (multiplication/division) then (add/subtract)

Addend

One of the numbers that produce a sum.

Product

The result obtained by multiplying two or more Factors (quantities) together.

Distributive property

Multiplication (only multiplication) distributes over addition/ subtraction

2(3+4)= 2x3+2x4

Long Division

Division, usu. by a number of two or more digits, in which each step of the process is written down.

Graphed

The Indication of a number with a dot on the number line.

Commutative Property

The Property that states

Changing the order of two addends/ factors does not change their sum/ multiple

Divedend

The number that is to be divided in a division problem.

For example,

when you divide

10 by 2

(10 ÷ 2 = 5),

10 is the dividend.

Standard Form

Standard form is a way to write numbers using the digits 0-9.

(Another name for scientific notation.)

Evaluate

To ascertain the numerical value of a function.

Diffrence

The result (or answer) of a subtrahend being subtracted from a minuend.

Addition Property of 0

The Property that states

The sum of 0 and any number is that same number.

Addition

Combining two addends to create a sum.

Multiplication sign

x

Digit

A single unit number that uses the symbols 0-9.

Rounding

Replacing a number with an estimate of that number to a given place value.

Subtraction

Finding the diffrence between a subtrahend and a minuend.

Expression

A combination of numbers, symbols, and operations to represent a certain quantity.

For example,

x2 + 2x + 3 is a quadratic expression .

Multiplication

Repeated addition in a different notation

Inequality symbol

A symbol used to indicate a “greater than” or “less than” value. ,

Perimeter

The distance around a Polygon

Subtrahend

A number that is to be subtracted from a minuend

8-3=5

3 is Subtrahend

Sum

The Result (or answer) to two Addends

Exponential Notation

Scientific notation, (standard form/exponential notation) is a way of writing numbers that accommodates values too… 2x2x2= 2^{3}

Minuend

A number from which the subtrahend is to be subtracted

8-3=5

8 is Minuend

Division

The operation of finding out how many times the second number will go into the first when dividing one number by a second number.

It is the opposite operation of multiplication,

that is,

a / b = c

is the same as

b × c = a.

Associative Property of Addition

The Property that states

Changing the grouping of addends does not change their sum.

Associative property

Changing the grouping of the factors/addend does not change their product/sum

division and subtraction are not associative

Division Properties of 1

The quotient of any number and that same number is1

Division properties of 0

The quotient of 0 and any number (except 0) is 0

Division Properties of 0

Rule 2

The quotient of any number and 0 is not a number it is what we call UNDEFINED.

Natural Numbers (Counting Numbers)

Any number obtained by adding 1 to it one or more times

A POSITIVE WHOLE NUMBER (as 3, 12, or 432)

Multiplication property of zero

The product of 0 and any number is 0

Evaluating an Expression

Finding the value of an algebraic expression by substituting a value for the variable(s) and then applying the order of operations.

Partial products

The product(s) obtained during the intermediate stages in order to complete a multiplication process.

127

x 12

__________

254 <——

127x <——