Download Whole Numbers.

VOCAB
By:Gina Travis, Maranda
Jackson, Lupe Armas.
Overview.
● Counting/Natural Numbers.
● Whole Numbers & Integers.
● Rational Numbers & Irrational Numbers.
● Real Numbers.
● Complex Numbers.
● One & Zero As Exponents.
● Negative Exponents.
● Powers.
● Polynomial & Monomials.
● Like Terms
● Variable
● Constant
● Cofficient
● Additive Identity & Multiplicative Identity.
● Additive Inverse & Multiplicative Inverse.
Counting/Natural
Numbers.
Definition: The whole numbers from 1 upwards: 1,2,3 and so on...
Example:Or from 0 upwards in some fields of mathematics: 0, 1, 2, 3
and so on...
No negative numbers or fractions.
Whole Numbers.
Definition: A number that has no decimals.
It can be positive or negative.
Example: 0,1,2,3,4
Integers.
Definition : Positive and negative whole numbers.
Example: -2,-1,0,1,2
Rational Numbers
Definition: A number that can be expressed as a quotient or fraction.
Example:8.50,6/2,0.3
Irrational Numbers
Definition: Any real number that cannot be expressed as a real number.
Example:π = 3.14159...
Real Numbers
Definition: All natural, whole, integers, rational, irrational, numbers
are real numbers.
Example:
● Natural numbers-1,2,3,4
● Whole numbers-0,1,2,3,4
● Integers--2,-1,0,1,2
● Rational Numbers-8.50,6/2,0.3
● Irrational Numbers- π =
3.1415926535897932384626433832795
Complex Numbers
Definition: A expression of the form a+bi, where a and b are real
numbers and i is a symbol.
Example:-3.5 +2i
One & Zero As Exponents
Definition: If one is the exponent the base doesn't change. If zero is
the exponent the base is one.
Example:(b1=b)(b0=1)
Negative Exponents
Definition: If the exponent is negative, take the reciprocal of the
power.
Example: b-n= 1/b-m or 1/b-m=bm
Power To A Power
Definition: To raise a power to a power to a power keep the base and multiply the
exponents.
Example: (bn)m=bnm
Product Of Power
Definition: When you multiply two powers with the same base, you add the exponents.
Example: bn+m
Quotient Of Power
Definition: When you divide two powers with the same base, you subtract the exponents.
2 2 2
Example: (2/4) =2 /4
Roots As Powers
Definition: We can write the inverse of an exponent as the
multiplicative inverse of the power.
Example:x2/3
Quotient Of Power
Definition: When you divide two powers with the same base, you
subtract the exponents.
2 2 2
Example: (2/4) =2 /4
Polynomials.
Definition: A monomial or sum of monomials.
Example: x2 − 4x + 7
Monomials.
Definition: constants and variables multiplied together.
Example: 9xy
Like Terms
Definition:Terms with same variable to the same power.
Example: axbyd
Variable
Definition : A Value That Varys & Represents A Unknown
Number.
Example : 2x = 14 X Is The Variable.
Constant
Definition:A number that doesn't change.
Example: 1, 2, 3, 4...
Coefficient
Definition:A number multiplied by a variable.
Example: x2-10x+25
Additive Identity
Definition: An additive Identity is a number you can add to any number to make it stay
the same.
Example: 0
Multiplicative Identity
Definition: A multiplicative Identity is a number you can multiplied by any number to
make it stay the same.
Example: 1
Additive Inverse
Definition: An additive inverse is a number that you add to a number to take it back to
the identity.
The inverse of addition is subtraction. The additive inverse of a number is its opposite.
Example: The Inverse Of -4 Is 4. -4 +4 = 0.
Multiplicative Inverse
Definition: The multiplicative Inverse is a number that you multiply by, to take
it back to the identity.
The inverse of a multiplicative is division. The multiplicative inverse of a
number is its reciprocal.
Example: The Inverse Of 12 Is 1/12 . 12 x 1/12 = 1.
That’s All
Folks.