Define The Following Basic Terms Of Fractions And Decimals Quiz

The numerator is the number that appears on the top of a fraction, while the denominator is the number that appears on the bottom. The numerator represents the number of parts being considered or taken, while the denominator represents the total number of parts in the whole.

The denominator is the bottom number in a fraction that represents the total number of equal parts that make up the whole.

A repeating decimal is a decimal in which one or more digits repeat in a pattern. This contrasts with a decimal with a never-ending sequence of non-repeating digits or one without any discernible pattern. The presence of repeating patterns is a key characteristic of repeating decimals.

A terminating decimal is a decimal that ends or terminates after a certain number of decimal places, usually with a repeated number of 0. It is different from a decimal with a finite number of digits, a decimal that never ends or repeats, or a decimal with a repeating pattern of non-zero digits.

Bar Notation specifically refers to the representation of repeating decimals with a line or bar placed over the digits that repeat, indicating indefinitely repeating values.

A rational number is any number that can be expressed as a fraction where both the numerator and denominator are integers and the denominator is not equal to zero. This definition includes integers, fractions, and terminating or repeating decimals.

An integer is a whole number that can be either positive, negative, or zero, but does not include any fractional or decimal part. It is different from a decimal number, a letter in the English alphabet, or a symbol used in algebraic equations.

Whole numbers are integers that are non-negative and do not have any fractional parts. They include all positive integers starting from 0 and can go up to infinity. Whole numbers do not include negative numbers or fractions.

A common denominator is a number that can be used as a denominator for multiple fractions, making it easier to add or subtract them.

The Least Common Denominator (LCD) refers to the least common multiple of the denominators of fractions, not the largest denominator, the difference between numerators, or the greatest common factor of denominators.

Like fractions are fractions where the denominators are the same, allowing for easier comparison and addition/subtraction.

Unlike Fractions refer to fractions that have different denominators, which makes them challenging to add or subtract without converting them to have a common denominator.

In mathematics, operations refer to the basic mathematical processes like addition, subtraction, multiplication, and division.

A product in mathematics refers to the result obtained when two or more numbers are multiplied together, not divided, added, or subtracted.

In mathematics, 'quotient' specifically refers to the result obtained after dividing one number by another number. It is essentially the outcome of performing the division operation.

A reciprocal is the number that, when multiplied with a given number, gives the product of 1. It is essentially the 'flip' of a number in terms of multiplication.

An equation is a mathematical expression that shows the equality of two quantities, usually involving variables.

In mathematics, inequality refers to a statement that compares two quantities using symbols such as >,

An equivalent equation refers to two or more equations that have the same solution, regardless of how they are written or represented. It is important in algebra to understand that equivalent equations have the same solutions even though they may look different.

A coefficient is the numerical factor that appears in front of a term with a variable, it does not refer to the result of multiplying two variables, an exponent, or a constant term in a polynomial.

In mathematics, a variable is a symbol that represents a number in mathematical expressions or sentences. It is used to denote an unknown or changing quantity that can take on different values.

In a sequence, a term refers to each individual number that appears in the sequence. It does not specifically indicate the final number, the sum, or the average of all numbers.

A one step equation is a simple algebraic equation that requires only one operation to solve, such as addition, subtraction, multiplication, or division.

Balance refers to the state where both sides are in equal measure, creating a sense of stability and fairness. Equilibrium, symmetry, and harmony are related concepts that also convey the idea of balance but in slightly different contexts.

A two step equation involves performing two different operations to isolate the variable and solve for its value.

The Distributive Property is a fundamental property in mathematics that describes the distribution of multiplication over addition or subtraction. It is essential for simplifying algebraic expressions and equations.