Fundamentals of Algebra Flashcards

Questions and Answers

What is the base in mathematics?

One of 3 equal factors of a number

The number that is a common factor (correct)

A symbol used to indicate a positive square root

The product of repeated factors

What is a cube root?

One of 3 equal factors of a number

What are exponents?

The number of times the base is used as a factor

What are irrational numbers?

A number that cannot be expressed as a quotient Signup and view all the answers

What is a monomial?

A number, a variable, or product of a number and one or more variables Signup and view all the answers

What defines a perfect cube?

A rational number whose cube root is a whole number Signup and view all the answers

What is a perfect square?

A rational number whose square root is a whole number Signup and view all the answers

What is a power in mathematics?

A product of repeated factors using an exponent and a base Signup and view all the answers

What does a radical sign indicate?

A symbol used to indicate a positive square root Signup and view all the answers

What is a rational number?

Numbers that can be written as the ratio of 2 integers Signup and view all the answers

What is a repeating decimal?

Decimal form of a rational number Signup and view all the answers

What is scientific notation?

A compact way of writing numbers with absolute values Signup and view all the answers

What is a square root?

One of 2 equal factors of a number Signup and view all the answers

What is a terminating decimal?

A repeating decimal where the repeating decimal is 0 Signup and view all the answers

Study Notes

Key Concepts in Algebra

Base: Fundamental number in an expression raised to an exponent, serving as the common factor for powers.
Cube Root: Value that when multiplied by itself three times results in the original number, ie., one of three equal factors.
Exponents: Indicate how many times the base is multiplied by itself, essential in expressing powers.
Irrational Numbers: Cannot be represented as a fraction of two integers, exemplified by numbers like √2 or π.
Monomial: An algebraic expression consisting of a single term, which can be a coefficient, a variable, or a product of both.
Perfect Cube: A rational number that has a whole number as its cube root, indicating a complete 3D volume.
Perfect Square: A rational number whose square root is an integer, representing a complete area.
Power: The result of multiplying a base by itself, defined by the exponent, thus representing repeated multiplication.
Radical Sign: A symbol (√) indicating the principal (positive) square root of a number.
Rational Number: Any number that can be expressed as the quotient of two integers, including fractions and whole numbers.
Repeating Decimal: A decimal representation of a rational number in which one or more digits repeat indefinitely.
Scientific Notation: A method to express large or small numbers compactly, often using powers of ten to standardize values.
Square Root: Value that when multiplied by itself results in the original number, ie., one of two equal factors.
Terminating Decimal: A specific type of decimal that comes to an end, as opposed to repeating indefinitely, essentially a rational number with limited decimal places.

Description

Test your knowledge with these flashcards covering essential algebraic terms. Each card features a key concept in algebra, from exponents to irrational numbers, providing clear definitions. Perfect for students looking to reinforce their understanding of algebra fundamentals.