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ریاضیات و ارزیابی ACT - حساب و آمار

در اینجا شما برخی از کلمات انگلیسی مربوط به حساب و آمار را یاد خواهید گرفت، مانند "تخمین"، "میانه"، "قابل تقسیم" و غیره که به شما کمک می کند ACT های خود را با موفقیت پشت سر بگذارید.

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شروع یادگیری
ACT Vocabulary for Math and Assessment
integer
integer
[اسم]

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

عدد صحیح

عدد صحیح

Ex: The numbers -3, 0, and 7 are all integers. 
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fraction
fraction
[اسم]

a number obtained by dividing one integer or rational number by another, typically written in the form a/b

کسر

کسر

Ex: One-half (1/2) is a simple fraction. 
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decimal
decimal
[اسم]

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

دهگان (ریاضی)

دهگان (ریاضی)

Ex: In mathematics, decimals are a way to represent fractions or portions of a whole using a decimal point. 
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mean
mean
[اسم]

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

میانگین (ریاضی)

میانگین (ریاضی)

Ex: To find the mean of 4, 6, and 8, add them together and divide by 3. 
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average
average
[صفت]

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

میانگین, متوسط

میانگین, متوسط

Ex: His average score in math class is 85%. 
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mixed number
mixed number
[اسم]

a combination of a whole number and a proper fraction

عدد مخلوط, کسر مخلوط

عدد مخلوط, کسر مخلوط

Ex: When working with measurements, such as lengths or amounts, we often encounter mixed numbers instead of whole numbers. 
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prime number
prime number
[اسم]

a number greater than 1 with only two devisors which can be itself or 1

عدد اول

عدد اول

Ex: 7 is a prime number because its only divisors are 1 and 7. 
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rational number

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

عدد گویا

عدد گویا

Ex: 3/4 is a rational number because it can be written as a fraction of two integers. 
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irrational number

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

عدد غیرمنطقی

عدد غیرمنطقی

Ex: The square root of 2 is an irrational number. 
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complex number

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

عدد مختلط, مختلط

عدد مختلط, مختلط

Ex: Multiplying a complex number by its conjugate results in a real number. 
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real number
real number
[اسم]

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

عدد حقیقی, حقیقی

عدد حقیقی, حقیقی

Ex: The number 5 is a real number because it can be located on the number line. 
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whole number
whole number
[اسم]

any positive number without fractions or decimals, including zero

عدد صحیح, عدد طبیعی

عدد صحیح, عدد طبیعی

Ex: The numbers 0, 1, 2, 3, and so on are all whole numbers. 
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root
root
[اسم]

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

ریشه, رادیکال

ریشه, رادیکال

Ex: The square root of 16 is 4. 
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range
range
[اسم]

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

محدوده, دامنه

محدوده, دامنه

Ex: The range of exam scores in the class was 40 points, from a low of 55 to a high of 95. 
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solution
solution
[اسم]

a correct answer to a problem in mathematics or a puzzle

راه‌حل (ریاضی)

راه‌حل (ریاضی)

Ex: After careful analysis, she found the solution to the complex algebraic equation. 
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product
product
[اسم]

the result of multiplying two or more numbers or quantities together

حاصلضرب, نتیجه ضرب

حاصلضرب, نتیجه ضرب

Ex: The product of 3 and 4 is 12. 
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factor
factor
[اسم]

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

فاکتور (ریاضی), ضریب

فاکتور (ریاضی), ضریب

Ex: A factor of a number divides it evenly without leaving a remainder. 
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value
value
[اسم]

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

مقدار, کمیت

مقدار, کمیت

Ex: In algebra, variables represent unknown values that can be determined through equations. 
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inequality
inequality
[اسم]

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

نابرابری

نابرابری

Ex: The inequality x>5 represents all real numbers greater than 5. 
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equation
equation
[اسم]

(mathematics) a statement indicating the equality between two values

معادله

معادله

Ex: In algebra, solving equations involves finding the values of variables that satisfy the equality stated. 
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minimum
minimum
[صفت]

having the least or smallest amount possible

حداقل

حداقل

Ex: The minimum requirement for admission to the program is a bachelor's degree. 
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exponential
exponential
[اسم]

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

نمایی, تابع نمایی

نمایی, تابع نمایی

Ex: In population studies, the growth can often be modeled by an exponential. 
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arithmetic sequence

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

دنباله حسابی, ترتیب حسابی

دنباله حسابی, ترتیب حسابی

Ex: In the arithmetic sequence 2, 5, 8, 11, 14, ..., each term increases by 3, which is the common difference. 
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divisible
divisible
[صفت]

having the quality of being divided, especially by a number

بخش‌پذیر, قابل تقسیم، قابل قسمت

بخش‌پذیر, قابل تقسیم، قابل قسمت

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to square
to square
[فعل]

to multiply a value or number by itself

به توان دو رساندن, در خودش ضرب کردن

به توان دو رساندن, در خودش ضرب کردن

Ex: Squaring 5 gives you 5 × 5, which equals 25. 
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improper fraction

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

کسر نامناسب

کسر نامناسب

Ex: To compare improper fractions, you can convert them to decimal form. 
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quotient
quotient
[اسم]

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

خارج قسمت

خارج قسمت

Ex: In the division problem 12 ÷ 4, the quotient is 3. 
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common ratio
common ratio
[اسم]

the constant ratio between consecutive terms

نسبت مشترک, نسبت ثابت

نسبت مشترک, نسبت ثابت

Ex: In the geometric sequence 2, 6, 18, 54, ..., the common ratio between consecutive terms is r=3. 
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common multiple

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

مضرب مشترک, مشترک مضرب

مضرب مشترک, مشترک مضرب

Ex: The smallest common multiple of 4 and 5 is 20. 
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common factor

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

عامل مشترک, مقسوم‌علیه مشترک

عامل مشترک, مقسوم‌علیه مشترک

Ex: The common factors of 12 and 18 include 1, 2, 3, and 6. 
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common denominator

(mathematics) a number divisible by all the numbers that are below the line in a set of fractions

مخرج‌مشترک

مخرج‌مشترک

Ex: To add 1/2 and 1/3, find a common denominator like 6. 
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least common denominator

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

کوچکترین مخرج مشترک, مخرج مشترک کوچکترین

کوچکترین مخرج مشترک, مخرج مشترک کوچکترین

Ex: Finding the least common denominator is a crucial step in solving problems that involve multiple fractions. 
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probability
probability
[اسم]

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

احتمال

احتمال

Ex: The probability of rolling a six on a fair die is one-sixth. 
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median
median
[اسم]

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

میانه, مقدار میانی

میانه, مقدار میانی

Ex: In the set {2, 5, 8, 10, 12}, the median is 8, as it is the middle value when arranged in ascending order. 
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mode
mode
[اسم]

the value that appears most frequently in a data set

مد, مقدار مودال

مد, مقدار مودال

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bimodal
bimodal
[صفت]

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

دووجهی, دارای دو حالت

دووجهی, دارای دو حالت

Ex: The bimodal distribution of exam scores indicated two groups of students with different performance levels. 
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to estimate
to estimate
[فعل]

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

تخمین زدن, برآورد کردن

تخمین زدن, برآورد کردن

Ex: I estimate that there are about 100 people at the party. 
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frequency
frequency
[اسم]

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

نرخ وقوع

نرخ وقوع

Ex: The frequency of heads in 100 coin flips was 52. 
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distribution
distribution
[اسم]

(statistics) an arrangement of values of a variable showing how often each occurs, either observed or theoretical

توزیع, پخش

توزیع, پخش

Ex: The histogram shows the distribution of exam scores. 
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standard deviation

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

انحراف معیار, انحراف استاندارد

انحراف معیار, انحراف استاندارد

Ex: A low standard deviation indicates that the data points are close to the mean. 
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margin of error

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

حاشیه خطا, دامنه خطا

حاشیه خطا, دامنه خطا

Ex: The poll results have a margin of error of ±3%, indicating the possible range of true public opinion. 
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random
random
[صفت]

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

تصادفی, اتفاقی

تصادفی, اتفاقی

Ex: A random sample is selected from the population in such a way that each member has an equal chance of being chosen. 
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trend line
trend line
[اسم]

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

خط روند, خط گرایش

خط روند, خط گرایش

Ex: The trend line on the stock chart indicates a steady increase in prices over the past year. 
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dot plot
dot plot
[اسم]

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

نمودار نقطه‌ای, پلات نقطه‌ای

نمودار نقطه‌ای, پلات نقطه‌ای

Ex: The teacher used a dot plot to show the distribution of test scores in the class. 
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linear model
linear model
[اسم]

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

مدل خطی, مدل رگرسیون خطی

مدل خطی, مدل رگرسیون خطی

Ex: The linear model y=2x+3 suggests that for every unit increase in x, y increases by 2. 
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