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Study sets matching "exponents factors fractions"

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Study sets matching "exponents factors fractions"

15 terms
Fractions, Factors, Exponents
prime number
composite number
prime factorization
factor tree
a whole number greater than 1 whose only positive factors are…
a whole number greater than 1 that has positive factors other…
a whole number written as the product of prime numbers
one method of finding the prime factorization of a number usi…
prime number
a whole number greater than 1 whose only positive factors are…
composite number
a whole number greater than 1 that has positive factors other…
Chapter 4 - Factors, Fractions, and Exponents
Divisible
Factor
Exponents
Base
Capable of being divided evenly.
An integer that can divide into another integer with a remain…
A way of showing repeated multiplication. Also known as a "po…
The number that is multiplied in an exponential expression.
Divisible
Capable of being divided evenly.
Factor
An integer that can divide into another integer with a remain…
11 terms
Exponents, Factors, and Fractions
Base
Composite Number
Equivalent Fraction
Exponent
The number used as a factor.
A whole number greater than 1 that has more than two factors.
Fractions that equal the same amount.
Tells how many times a number, or base, is used as a factor.
Base
The number used as a factor.
Composite Number
A whole number greater than 1 that has more than two factors.
15 terms
Pre-Algebra Factors, Fractions, and Exponents
Prime Number
Composite Number
Prime Factorization
Factor Tree
A whole number that has exactly two factors, 1 and itself.
A number with more than two factors
Expressing a whole number as a product of prime numbers
A diagram that can be used to write the prime factorization o…
Prime Number
A whole number that has exactly two factors, 1 and itself.
Composite Number
A number with more than two factors
20 terms
Course 2 Chapter 2 Exponents, Factors & Fractions
exponent
base
power
divisible
tells you how many times to use the base as a factor
the number used as a factor
a number expressed using an exponent
when the remainder is zero
exponent
tells you how many times to use the base as a factor
base
the number used as a factor
20 terms
Course 2 Chapter 2 Exponents, Factors & Fractions
exponent
base
power
divisible
tells you how many times to use the base as a factor
the number used as a factor
a number expressed using an exponent
when the remainder is zero
exponent
tells you how many times to use the base as a factor
base
the number used as a factor
15 terms
Pre-Algebra-CH. 4 Factors, Fractions, and Exponents
Base
composite number
divisible
equivalent fractions
the repeated factor of a number written in exponential form.
A integer greater than 1 with exactly two positive factors.... 2…
one integer is divisible by another if the remainder is 0. An…
fractions that describe the same part of a whole. 3/4 = 9/12.…
Base
the repeated factor of a number written in exponential form.
composite number
A integer greater than 1 with exactly two positive factors.... 2…
13 terms
Ch. 4/ Factors, Fractions, and Exponents/ Math/ 8th Grade
4.1 Factors and Prime Factorization
4.1 Factors and Prime Factorization
4.1 Factors and Prime Factorization
4.1 Factors and Prime Factorization
4.1 A prime number is a whole number that is greater than 1 a…
4.1 A composite number is a whole number that is greater than…
4.1 When you write a number as a product of prime numbers, yo…
4.1 A monomial is a number, a variable, or the product of a n…
4.1 Factors and Prime Factorization
4.1 A prime number is a whole number that is greater than 1 a…
4.1 Factors and Prime Factorization
4.1 A composite number is a whole number that is greater than…
23 terms
Factors, Fractions, Exponents, Property's, GCF, LCM, PEMDAS- Finals Review
Natural Numbers or Composite number <d…
Composite Number <def>
3 main characteristics of a Rational N…
Integer <def>
Positive integers (Ex: 1, 2, 3, 4, 5, etc..., etc...)
A whole number that can be evenly divided by numbers other th…
1. The number is an integer... 2. Can be written as a ratio or f…
A whole number that is NOT a fraction. Includes the set of Wh…
Natural Numbers or Composite number <d…
Positive integers (Ex: 1, 2, 3, 4, 5, etc..., etc...)
Composite Number <def>
A whole number that can be evenly divided by numbers other th…
7 terms
Exponents and Fractions
Twos
Threes
Fours
Fives
2^1=2... 2^2=4... 2^3=8... 2^4=16... 2^5=32... 2^6=64... 2^7=128... 2^8=256... 2^9=512
3^1=3... 3^2=9... 3^3=27... 3^4=81
4^1=4... 4^2=16... 4^3=64... 4^4=256
5^1=5... 5^2=25... 5^3=125... 5^4=625
Twos
2^1=2... 2^2=4... 2^3=8... 2^4=16... 2^5=32... 2^6=64... 2^7=128... 2^8=256... 2^9=512
Threes
3^1=3... 3^2=9... 3^3=27... 3^4=81
10 terms
Exponents and Factorization
factorization
prime factorization
exponent
base
a product of numbers, perhaps with some repetitions, resultin…
a product of prime numbers, perhaps with some repetitions
the small raised number that tells how many times a factor is…
The number that is going to be raised to a power
factorization
a product of numbers, perhaps with some repetitions, resultin…
prime factorization
a product of prime numbers, perhaps with some repetitions
10 terms
Fractional Exponents
⁹√d
x^1/18
-2
⁴²√h
d^1/9
¹⁸√x
(-128)^1/7
h^1/42
⁹√d
d^1/9
x^1/18
¹⁸√x
9 terms
Factors & Fractions
factor
prime number
composite number
simplest form
a number that divides evenly into another number
number with exactly two factors , one and itself
a number with more than two factors
when the numerator and denominator have no common factors exc…
factor
a number that divides evenly into another number
prime number
number with exactly two factors , one and itself
12 terms
exponent factors
tera
giga
mega
kilo
12
9
6
3
tera
12
giga
9
Factoring and exponents
GCF
Difference of 2 squares
PST
a=1
Find and determine the ___... To get the other factor, dived the…
Express the given as ____ __ _ ____... Express the results as pr…
Get the square root of the first term... Get the sign of the sec…
Factor the first term... Sum of the factors are equal to the mid…
GCF
Find and determine the ___... To get the other factor, dived the…
Difference of 2 squares
Express the given as ____ __ _ ____... Express the results as pr…
46 terms
Math 2 Exponents, Factoring
add
multiply
distribute
a^(m+n)
To multiply powers having the same base, ___ the exponents
To find a power to a power, ___ the exponents
To find a power of a product, ___ the exponents
a^m x a^n=
add
To multiply powers having the same base, ___ the exponents
multiply
To find a power to a power, ___ the exponents
10 terms
Unit 2: Factors and Fractions
Divisible
Exponent
Base
Factor
when you can divide a number with no remainders
A raised number that tells you how many times to multiply a n…
A number that is being multiplied by itself over and over
A number that can fit into a larger number with no remainder…
Divisible
when you can divide a number with no remainders
Exponent
A raised number that tells you how many times to multiply a n…
36 terms
Fractions, Decimals, and Exponents
2^2
2^3
2^4
2^5
4
8
16
32
2^2
4
2^3
8
30 terms
Math exponents, decimals, fractions
Simplify: (-7)^2
Simplify: -3^2
-88+(-8)
55-92
49
-9
-96
-37
Simplify: (-7)^2
49
Simplify: -3^2
-9
13 terms
Factors, Multiples and Fractions
Distributive Property
Factor
Multiple
Greatest Common Factor
To multiply a sum by multiplying each addend separately and t…
A number or quantity that when multiplied with another produc…
A number that can be divided by another number without a rema…
The largest factor that two or more numbers have in common.
Distributive Property
To multiply a sum by multiplying each addend separately and t…
Factor
A number or quantity that when multiplied with another produc…
17 terms
Exponents to the third/fractions & decimals
2
3
4
5
8
27
64
125
2
8
3
27
15 terms
Factoring and Exponents Vocabulary
base
exponent
prime number
composite number
the number at the bottom of the exponent and defines the numb…
the number that represents how much the base multiplies
a number that is only divisible by 1 and itself
a number that is divisible by more than 2 numbers
base
the number at the bottom of the exponent and defines the numb…
exponent
the number that represents how much the base multiplies
Prime Factorization with Exponents
Prime Factorization of 9
Prime Factorization of 15
Prime Factorization of 20
Prime Factorization of 30
3^2
3 x 5
2^2 x 5
2 x 3 x 5
Prime Factorization of 9
3^2
Prime Factorization of 15
3 x 5
12 terms
Prefix exponents and factors
10^12 and 1000000000000
10^9 and 1000000000
10^1 and 10
10^2 and 100
T
G
da
h
10^12 and 1000000000000
T
10^9 and 1000000000
G
15 terms
Primes, Factors, and Exponents...etc
Prime Number
Composite
Prime Factors
Divisibility Rules
Is a counting number having exactly two different factors, it…
A counting (natural) number greater than 1 that is not a prime.
Numbers are those factors that are prime.
A number is divisible by 2 if it ends in an even number (2,4,…
Prime Number
Is a counting number having exactly two different factors, it…
Composite
A counting (natural) number greater than 1 that is not a prime.
43 terms
Quant - Arithmetic (Fractions/Exponents)
4
9
16
25
4
9
12 terms
Chapter 4: Factors and Fractions
factor
base
exponent
power
two or more numbers that are multiplied to form a product
is the number that is being multiplied
tells how many times the base is used as a factor
the number that can be expressed using an exponent
factor
two or more numbers that are multiplied to form a product
base
is the number that is being multiplied
9 terms
Multiplying and Dividing Fractions with Exponents
(5y)(yx⁻²)
(-x³y⁴)(5x³y⁻¹)
(-5xy²)(x³y⁴)
mn³÷ 4m⁴n³
5y²/x²
-5x⁶y³
-5x⁴y⁶
1/(4m³)
(5y)(yx⁻²)
5y²/x²
(-x³y⁴)(5x³y⁻¹)
-5x⁶y³
13 terms
Factors, Multiples and Fractions
Distributive Property
Factor
Multiple
Greatest Common Factor
To multiply a sum by multiplying each addend separately and t…
A number or quantity that when multiplied with another produc…
A number that can be divided by another number without a rema…
The largest factor that two or more numbers have in common.
Distributive Property
To multiply a sum by multiplying each addend separately and t…
Factor
A number or quantity that when multiplied with another produc…
10 terms
Algebraic Equalities, Exponents and Factoring
a²*a³
(a²)³
a²/a³
a*a
a²⁺³
a²*³
a²⁻³
a*a
a²*a³
a²⁺³
21 terms
Exponents, Polys, and Factoring
coefficent
base variable
exponent power
product
3x^4... What is the 3?
3x^4... What is the x? (two terms)
3x^4... What is the four? (two names)
Property:... aM x aN = aMN
coefficent
3x^4... What is the 3?
base variable
3x^4... What is the x? (two terms)
10 terms
laws of exponents , expressions and factoring
algebraic expression
binomial expressions
degree of polynomial
degree of term
a generalization that is a combination of variables , numbers…
two terms e.g.. 4-2y.3a+1.5x squared -2x, mn- pq
same as the degree of the term in the polynomial with the hig…
sum of the powers on the variables in the term
algebraic expression
a generalization that is a combination of variables , numbers…
binomial expressions
two terms e.g.. 4-2y.3a+1.5x squared -2x, mn- pq
10 terms
Laws of Exponents, Expressions, and Factoring
algebraic expression
binomial expression
degree of polynomial
degree of term
a generalization that is a combination of variables, numbers…
two terms; e.g., 4 - 2y, 3a + 1, 5x^2 - 2x, mn - pq
same as the degree of the term in the polynomial with the hig…
sum of the powers on the variables in the term
algebraic expression
a generalization that is a combination of variables, numbers…
binomial expression
two terms; e.g., 4 - 2y, 3a + 1, 5x^2 - 2x, mn - pq
factors and fractions at work
factors
factoring
prime number
Greatest Common Divisor/ Highest Commo…
numbers whose continued product is that number
the process of finding the factors of a number
a number that doesn't have any factors- only 1 and itself
the GCD or HCF of two or more numbers is the largest numbers…
factors
numbers whose continued product is that number
factoring
the process of finding the factors of a number
41 terms
Math- exponents polynomials and factoring
base^n base^m (x^3 x^6)
base^n/ base^m (a^10/a^4)
base^-n (a^-6 )
base^0 (1,00^0)
base^n + m (x^9)
base^n-m (a^-6)
1/base^n (1/a^6)
1 (1) (2x^0 = 2)
base^n base^m (x^3 x^6)
base^n + m (x^9)
base^n/ base^m (a^10/a^4)
base^n-m (a^-6)
33 terms
Fractions, Factors, and Multiples Quiz
Question
What is an improper fraction?
What is a mixed fraction?
What are the common factors of 20, 30,…
Answer
An improper fraction is where the numerator is larger than th…
A mixed fraction is where a fraction has a whole number and p…
5, 1
Question
Answer
What is an improper fraction?
An improper fraction is where the numerator is larger than th…
11 terms
Math Factoring Exponent Formulas
a^x • a^y
a^x / a^y
a^0
(ab)^n
a^x+y
a^x-y
1
a^n • b^n
a^x • a^y
a^x+y
a^x / a^y
a^x-y
11 terms
Factoring-Exponent Vocabulary
prime number
composite number
prime factorization
factor tree
A whole number that has exactly two factors, 1 and itself (2,…
A whole number with more than two factors (4, 6, 8, 9, 10, 12…
Breaking down a composite number until all of the factors are…
A diagram showing how a composite number breaks down into its…
prime number
A whole number that has exactly two factors, 1 and itself (2,…
composite number
A whole number with more than two factors (4, 6, 8, 9, 10, 12…
10 terms
Exponent-fraction properties
Is x^2 > x ... if x > 1?
Is x^2 > x... if 0 < x < 1?
Is x^2 > x... if -1 < x < 0?
Is x^2 > x... if x < -1?
Yes - bigger
No - smaller
Yes - bigger
Yes - bigger
Is x^2 > x ... if x > 1?
Yes - bigger
Is x^2 > x... if 0 < x < 1?
No - smaller
10 terms
Fractional Exponents (express each radical as a fractional exponent)
√81
³√81²
√81³
⁵√x²
81¹/²
81²/³
81³/²
x²/⁵
√81
81¹/²
³√81²
81²/³
13 terms
Ch. 4 Factors and Fractions
Factor
Base
Power
Exponent
To write a number as a product of its factors
The base is used as a factor as many times as given by the ex…
A number that is expressed using an exponent
The exponent tells how many times the base is used as a factor
Factor
To write a number as a product of its factors
Base
The base is used as a factor as many times as given by the ex…
Chapter 4 factors and fractions
base
exponent
factor
power
in 2 to the 4th power the base is 2. the base is used as a fa…
in 2 to the 4th power the exponent is 4. The exponent tells h…
to write a number as a product of its factors
says how many times to use a number in multiplicaion
base
in 2 to the 4th power the base is 2. the base is used as a fa…
exponent
in 2 to the 4th power the exponent is 4. The exponent tells h…
14 terms
Ch.4 Factors and Fractions
Factor
Base
Exponent
Power
to write a number as a product of its factor
is the number that is multiplied
tells how many times the base is used as a factor
A number that is expressed using an exponent
Factor
to write a number as a product of its factor
Base
is the number that is multiplied
14 terms
Ch.4 Factors and fractions
Factor
base
power
exponent
Two or more numbers that are multiplied to form a product
the number that is multiplied
Number that can be expressed using an exponent
Tells how many times the base is used as a factor
Factor
Two or more numbers that are multiplied to form a product
base
the number that is multiplied
14 terms
Chapter 4 Factors and Fractions
Factor
Base
Exponent
Power
Two or more numbers that are multiplied to form a product
The base is used as a factor as many times as given by exponent
The exponent tells how many times the base is used as a factor
A number that is expressed using an exponent
Factor
Two or more numbers that are multiplied to form a product
Base
The base is used as a factor as many times as given by exponent
13 terms
Chapter 4: Factors and Fractions
Factor
Base
Exponent
Power
To write a number as a product of its factors.
The number that is multiplied.
Tells how many times the base is used as a factor.
A number that is expressed using an exponent.
Factor
To write a number as a product of its factors.
Base
The number that is multiplied.
8 terms
Chapter 4 Factors and Fractions
Factors
Base
Exponent
Power
Two or more numbers that are multiplied to form a product are…
The number that is multiplied
Tells how many times the base is used as a factor
The Number that can be expressed using an exponent
Factors
Two or more numbers that are multiplied to form a product are…
Base
The number that is multiplied
60 terms
Prime Factorization with Exponents & GCF
GCF of 24 and 36
GCF of 7 and 29
GCF of 14, 28 and 56
All the factors of 24
12
1
14
1,2,3,4,6,8,12,24
GCF of 24 and 36
12
GCF of 7 and 29
1
15 terms
Fractions/factors 9/10
2/4
5/10
3/15
12/36
1/2
1/2
1/5
3
2/4
1/2
5/10
1/2
16 terms
Algebra II: Exponents, Polynomials, Factoring
Product Property
Quotient Property
Power to A Power Property
Power of A Product Property
Product Property
Quotient Property
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