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SAT Math and Logic /

Arithmetic and Statistics

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1-
mixed number
2-
rational number
3-
irrational number
4-
complex number
5-
real number
6-
whole number
7-
integer
8-
fraction
9-
decimal
10-
improper fraction
11-
mean
12-
root
13-
range
14-
average
15-
solution
16-
product
17-
quotient
18-
factor
19-
value
20-
inequality
21-
equation
22-
minimum
23-
exponential
24-
linear
25-
common ratio
26-
common multiple
27-
common factor
28-
least common denominator
29-
probability
30-
to estimate
31-
arithmetic sequence
32-
frequency
33-
median
34-
bimodal
35-
standard deviation
36-
margin of error
37-
random
38-
trend line
39-
dot plot
40-
linear model
mixed number
noun
uk flag
/mˈɪkst nˈʌmbɚ/
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a combination of a whole number and a proper fraction

example
Example
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When working with measurements, such as lengths or amounts, we often encounter mixed numbers instead of whole numbers.
To convert a mixed number to an improper fraction, we multiply the whole number part by the denominator and add the numerator.

Grammatical Information:

compound noun
rational number
noun
uk flag
/ɹˈæʃənəl nˈʌmbɚ/

a number that can be written as a fraction, where both the top and bottom are whole numbers, and the bottom is not zero

irrational number
noun
uk flag
/ɪɹˈæʃənəl nˈʌmbɚ/

a number incapable of being expressed as a ratio of two integers

complex number
noun
uk flag
/kˈɑːmplɛks nˈʌmbɚ/

a number that has both a real part and a part involving a unit that, when squared, gives a negative result

Grammatical Information:

compound noun
real number
noun
uk flag
/ɹˈiːəl nˈʌmbɚ/

any number that can be found on the number line, including both positive and negative numbers, zero, and fractions

Grammatical Information:

compound noun
whole number
noun
uk flag
/hˈoʊl nˈʌmbɚ/

any positive number without fractions or decimals, including zero

Grammatical Information:

compound noun
integer
noun
i
ɪ
n
n
t
t
e
ə
g
ʤ
e
ɜ
r
r

any number without fractions or decimals, including positive numbers, negative numbers, and zero

fraction
fraction
noun
f
f
r
r
a
æ
c
k
t
ʃ
io
ə
n
n

a part of a whole number, such as ½

decimal
noun
d
d
e
ɛ
c
s
i
ə
m
m
a
ə
l
l

(mathematics) a number less than one, called a fraction, that is represented as a period followed by the number of tenths, hundredths, etc.

improper fraction
noun
uk flag
/ɪmpɹˈɑːpɚ fɹˈækʃən/

a fraction where the the top number is greater than or equal to the equal to the bottom number

Grammatical Information:

compound noun
mean
mean
noun
m
m
ea
i
n
n

(mathematics) the average value of a set of quantities calculated by adding them, and dividing them by the total number of the quantities

root
noun
r
r
oo
u
t
t

a value that, when multiplied by itself a specified number of times, results in the given number

range
noun
r
r
a
n
n
g
ʤ
e

the difference between the highest and lowest values in a set of numbers

average
average
Adjective
a
æ
v
v
e
ə
r
r
a
ɪ
g
ʤ
e

calculated by adding a set of numbers together and dividing this amount by the total number of amounts in that set

solution
solution
noun
s
s
o
ə
l
l
u
u
t
ʃ
io
ə
n
n

a correct answer to a problem in mathematics or a puzzle

product
noun
p
p
r
r
o
ɑ
d
d
u
ə
c
k
t
t

the result of multiplying two or more numbers or quantities together

quotient
noun
q
k
u
w
o
t
ʃ
ie
ə
n
n
t
t

the result obtained by dividing one quantity or number by another, expressed as the outcome of a division operation

factor
noun
f
f
a
æ
c
k
t
t
o
ɜ
r
r

(mathematics) one of the numbers that another number can be divided by

value
noun
v
v
a
æ
l
l
u
ju
e

(mathematics) an amount that is shown by a sign or letter

inequality
noun
i
ɪ
n
n
e
i
q
k
u
w
a
ɑ
l
l
i
ə
t
t
y
i

a statement that compares two quantities, expressions, or values and indicates their relative sizes

equation
noun
e
ɪ
q
k
u
w
a
t
i
o
n
n

(mathematics) a statement indicating the equality between two values

minimum
noun
m
m
i
ɪ
n
n
i
ə
m
m
u
ə
m
m

the lowest amount, degree, or extent there is or is possible, allowed or required

maximum
exponential
noun
e
ɛ
x
ks
p
p
o
n
n
e
ɛ
n
n
t
ʃ
ia
ə
l
l

a mathematical expression where a number is multiplied by itself a certain number of times determined by a variable

linear
Adjective
l
l
i
ɪ
n
n
ea
r
r

related to equations that create straight lines when graphed, indicating a constant rate of change

nonlinear
common ratio
noun
uk flag
/kˈɑːmən ɹˈeɪʃɪˌoʊ/

the constant ratio between consecutive terms

Grammatical Information:

compound noun
common multiple
noun
uk flag
/kˈɑːmən mˈʌltɪpəl/

a number that is a multiple of two or more given numbers

Grammatical Information:

compound noun
common factor
noun
uk flag
/kˈɑːmən fˈæktɚ/

a number that divides exactly into two or more given numbers without leaving a remainder

Grammatical Information:

compound noun
least common denominator
noun
uk flag
/lˈiːst kˈɑːmən dɪnˈɑːmᵻnˌeɪɾɚ/

the smallest positive integer that is a common multiple of the denominators of two or more fractions

probability
noun
p
p
r
r
o
ɑ
b
b
a
ə
b
b
i
ɪ
l
l
i
ə
t
t
y
i

(mathematics) a number representing the chances of something specific happening

to estimate
to estimate
Verb
e
ɛ
s
s
t
t
i
ə
m
m
a
t
t
e

to guess the value, number, quantity, size, etc. of something without exact calculation

Grammatical Information:

transitive
arithmetic sequence
noun
uk flag
/ɐɹˈɪθmətˌɪk sˈiːkwəns/

a sequence of numbers in which the difference between any two consecutive terms is constant

Grammatical Information:

compound noun
frequency
noun
f
f
r
r
e
i
q
k
u
w
e
ə
n
n
c
s
y
i

the number of times a particular event occurs within a specific period or among a set of observations

median
noun
m
m
e
i
d
d
ia
n
n

a statistical measure that represents the middle value of a data set when the values are arranged in ascending or descending order

bimodal
Adjective
b
b
i
m
m
o
d
d
a
ə
l
l

having or involving two distinct modes, peaks, or most frequent values

unimodal
standard deviation
noun
uk flag
/stˈændɚd dˌiːvɪˈeɪʃən/

a measure of how much the values in a set typically differ from the average

Grammatical Information:

compound noun
margin of error
noun
uk flag
/mˈɑːɹdʒɪn ʌv ˈɛɹɚ/

the range within which the true value is expected to fall, accounting for potential inaccuracies in measurement or sampling

random
Adjective
r
r
a
æ
n
n
d
d
o
ə
m
m

occurring in such a way that each possible outcome has a certain probability of occurring, but the specific outcome cannot be predicted with certainty

trend line
noun
uk flag
/tɹˈɛnd lˈaɪn/

a straight line drawn through a set of data points on a graph to represent the general direction or pattern of the data

dot plot
noun
uk flag
/dˈɑːt plˈɑːt/

a type of statistical chart consisting of dots that represent individual data points

Grammatical Information:

compound noun
linear model
noun
uk flag
/lˈɪnɪɹ mˈɑːdəl/

a mathematical representation that describes the relationship between two or more variables using a linear equation

Grammatical Information:

compound noun

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You learned 40 words from SAT Arithmetic and Statistics Vocabulary. To improve learning and review vocabulary, start practicing.

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