Pre-Algebra Chapter 4 Flashcards

Questions and Answers

The repeated factor of a number written in exponential form.

False

One integer is divisible by another if the remainder is 0.

1/2 and 2/4 Signup and view all the answers

A number that shows how many times a base is used as a factor. Signup and view all the answers

An integer that divides a nonzero integer with remainder zero. Signup and view all the answers

The greatest divisor that two or more numbers have in common. Signup and view all the answers

True Signup and view all the answers

An expression in the form a/n, referring also to the exponent. Signup and view all the answers

The expression of a number as the product of its prime factors. Signup and view all the answers

An integer greater than 1 with exactly two positive factors: 1 and itself. Signup and view all the answers

Any number that can be written as a quotient of two integers, where the denominator is not zero. Signup and view all the answers

A way to write numbers using powers of 10. Signup and view all the answers

When the numerator and denominator have no common factors other than 1. Signup and view all the answers

By simplifying the product of two factors. Signup and view all the answers

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.