Pre-Algebra Chapter 4 Flashcards

Study Notes

Base: Represents the repeated factor in exponential notation.
Composite Number: An integer greater than 1 with exactly two positive factors; for example, 24 has factors 1, 2, 3, 4, 6, 8, 12, and 24.
Divisible: An integer is divisible by another if division results in a remainder of 0; an integer is divisible by 2 if it ends in 0, 2, 4, 6, or 8, and by 5 if it ends in 0 or 5.
Equivalent Fractions: These fractions represent the same portion of a whole; for example, 3/4 is equivalent to 9/12.
Exponents: Indicates how many times a base is multiplied by itself; for instance, in 6², the exponent 2 means 6 is used as a factor twice (6 x 6 = 36).

Factor: An integer that divides another integer without leaving a remainder; for example, the factors of 36 include 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Greatest Common Divisor (GCD): The largest integer that can evenly divide two or more numbers.
Greatest Common Factor (GCF): Synonymous with GCD, representing the largest common divisor.
Power: A shorthand expression form such as a/n, also referring to an exponent; for instance, 5⁴ denotes "five to the fourth power."

Prime Factorization: Represents a number as a product of its prime factors; the prime factorization of 30 is 2 x 3 x 5.
Prime Number: An integer greater than 1 with only two positive factors: 1 and itself; examples include 2, 3, 5, and 7.
Rational Number: Any number expressible as a quotient of two integers, provided the denominator is not zero.
Scientific Notation: Method to express numbers as a product of two factors using powers of 10.
Simplest Form: When a fraction's numerator and denominator have no common factors other than 1; involves using the GCD to simplify.
Standard Notation: Achieved by simplifying the product of two factors.