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Key Terms Chapter 01: Foundations

Last updated

May 16, 2022
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- Detailed Licensing
- Key Terms Chapter 02: Solving Linear Equations

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Example and Directions
Words (or words that have the same definition)	The definition is case sensitive	(Optional) Image to display with the definition [Not displayed in Glossary, only in pop-up on pages]	(Optional) Caption for Image	(Optional) External or Internal Link	(Optional) Source for Definition
(Eg. "Genetic, Hereditary, DNA ...")	(Eg. "Relating to genes or heredity")		The infamous double helix	https://bio.libretexts.org/	CC-BY-SA; Delmar Larsen

Glossary Entries
Word(s)	Definition	Image	Caption	Link	Source
absolute value	The absolute value of a number is its distance from $0$ on the number line.
additive identity	The number $0$ is the additive identity because adding $0$ to any number does not change its value.
additive inverse	The opposite of a number is its additive inverse.
coefficient	The coefficient of a term is the constant that multiplies the variable in a term.
complex fraction	A fraction in which the numerator or the denominator is a fraction is called a complex fraction.
composite number	A composite number is a counting number that is not prime. It has factors other than $1$ and the number itself.
constant	A constant is a number whose value always stays the same.
denominator	In a fraction, written $\frac{a}{b}$ , where $b≠0$ , the denominator $b$ is the number of equal parts the whole has been divided into.
divisible by a number	If a number $m$ is a multiple of $n$ , then $m$ is divisible by $n$ .
equation	An equation is two expressions connected by an equal sign.
equivalent fractions	Equivalent fractions are fractions that have the same value.
evaluate an expression	To evaluate an expression means to find the value of the expression when the variables are replaced by given numbers.
expression	An expression is a number, a variable, or a combination of numbers and variables using operation symbols.
factors	If $a·b=m$ , then $a$ and $b$ are factors of $m$ .
fraction	A fraction is written $\frac{a}{b}$ , where $b≠0$ , and $a$ is the numerator and $b$ is the denominator. A fraction represents parts of a whole.
integers	The whole numbers and their opposites are called the integers.
irrational number	An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.
least common denominator	The least common denominator (LCD) of two fractions is the least common multiple (LCM) of their denominators.
least common multiple	The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers.
like terms	Terms that are either constants or have the same variables raised to the same powers are called like terms.
multiple of a number	A number is a multiple of $n$ if it is the product of a counting number and $n$ .
multiplicative identity	The number $1$ is the multiplicative identity because multiplying $1$ by any number does not change its value.
multiplicative inverse	The reciprocal of a number is its multiplicative inverse.
negative numbers	Numbers less than $0$ are negative numbers.
numerator	In a fraction, written $\frac{a}{b}$ , where $b≠0$ , the numerator a indicates how many parts are included.
opposite	The opposite of a number is the number that is the same distance from zero on the number line but on the opposite side of zero.
order of operations	The order of operations are established guidelines for simplifying an expression.
percent	A percent is a ratio whose denominator is $100$ .
prime factorization	The prime factorization of a number is the product of prime numbers that equals the number.
prime number	A prime number is a counting number greater than $1$ whose only factors are $1$ and the number itself.
principal square root	The positive square root is called the principal square root.
rational number	A rational number is a number of the form $\frac{p}{q}$ , where $p$ and $q$ are integers and $q≠0$ . Its decimal form stops or repeats.
real number	A real number is a number that is either rational or irrational.
reciprocal	The reciprocal of a fraction is found by inverting the fraction, placing the numerator in the denominator and the denominator in the numerator.
simplify an expression	To simplify an expression means to do all the math possible.
square of a number	If $n^2=m$ , then $m$ is the square of $n$ .
square root of a number	If $n^2=m$ , then $n$ is a square root of $m$ .
term	A term is a constant, or the product of a constant and one or more variables.
variable	A variable is a letter that represents a number whose value may change.

absolute value | The absolute value of a number is its distance from $0$ on the number line.

additive identity | The number $0$ is the additive identity because adding $0$ to any number does not change its value.

additive inverse | The opposite of a number is its additive inverse.

coefficient | The coefficient of a term is the constant that multiplies the variable in a term.

complex fraction | A fraction in which the numerator or the denominator is a fraction is called a complex fraction.

composite number | A composite number is a counting number that is not prime. It has factors other than $1$ and the number itself.

constant | A constant is a number whose value always stays the same.

denominator | In a fraction, written $\frac{a}{b}$ , where $b≠0$ , the denominator $b$ is the number of equal parts the whole has been divided into.

divisible by a number | If a number $m$ is a multiple of $n$ , then $m$ is divisible by $n$ .

equation | An equation is two expressions connected by an equal sign.

equivalent fractions | Equivalent fractions are fractions that have the same value.

evaluate an expression | To evaluate an expression means to find the value of the expression when the variables are replaced by given numbers.

expression | An expression is a number, a variable, or a combination of numbers and variables using operation symbols.

factors | If $a·b=m$ , then $a$ and $b$ are factors of $m$ .

fraction | A fraction is written $\frac{a}{b}$ , where $b≠0$ , and $a$ is the numerator and $b$ is the denominator. A fraction represents parts of a whole.

integers | The whole numbers and their opposites are called the integers.

irrational number | An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.

least common denominator | The least common denominator (LCD) of two fractions is the least common multiple (LCM) of their denominators.

least common multiple | The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers.

like terms | Terms that are either constants or have the same variables raised to the same powers are called like terms.

multiple of a number | A number is a multiple of $n$ if it is the product of a counting number and $n$ .

multiplicative identity | The number $1$ is the multiplicative identity because multiplying $1$ by any number does not change its value.

multiplicative inverse | The reciprocal of a number is its multiplicative inverse.

negative numbers | Numbers less than $0$ are negative numbers.

numerator | In a fraction, written $\frac{a}{b}$ , where $b≠0$ , the numerator a indicates how many parts are included.

opposite | The opposite of a number is the number that is the same distance from zero on the number line but on the opposite side of zero.

order of operations | The order of operations are established guidelines for simplifying an expression.

percent | A percent is a ratio whose denominator is $100$ .

prime factorization | The prime factorization of a number is the product of prime numbers that equals the number.

prime number | A prime number is a counting number greater than $1$ whose only factors are $1$ and the number itself.

principal square root | The positive square root is called the principal square root.

rational number | A rational number is a number of the form $\frac{p}{q}$ , where $p$ and $q$ are integers and $q≠0$ . Its decimal form stops or repeats.

real number | A real number is a number that is either rational or irrational.

reciprocal | The reciprocal of a fraction is found by inverting the fraction, placing the numerator in the denominator and the denominator in the numerator.

simplify an expression | To simplify an expression means to do all the math possible.

square of a number | If $n^2=m$ , then $m$ is the square of $n$ .

square root of a number | If $n^2=m$ , then $n$ is a square root of $m$ .

term | A term is a constant, or the product of a constant and one or more variables.

variable | A variable is a letter that represents a number whose value may change.

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