Questions and Answers
What is the absolute value?
What is the additive inverse of a?
a
What does cubed mean?
Any expression taken to the third power
What is an exponent?
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What are integers?
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What are opposites?
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What is scientific notation?
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What does squared mean?
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What is subtraction?
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What is a variable?
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What is zero power?
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What is an addend?
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What is a minuend?
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What is a subtrahend?
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What is a dividend?
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What is a divisor?
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What is a quotient?
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What is the base in exponential notation?
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What is a negative exponent?
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What is one method for adding integers with like signs?
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What is one method for adding integers with unlike signs?
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What is the Multiplication Property of Exponents?
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What is the Power Property of Exponents?
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What is the Division Property of Exponents?
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What are the first two steps in the Order of Operations?
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Study Notes
Mathematical Concepts and Definitions
 Absolute value: Measures the distance of a number from zero on a number line; always nonnegative.
 Additive inverse: For any number 'a', 'b' is its additive inverse if a + b = 0; represented as a.
 Cubed: Refers to raising any expression to the third power.
 Exponent: A superscript showing how many times the base is multiplied by itself.
 Integers: Include all whole numbers and their negatives; extend infinitely in both directions.
 Opposites: Numbers located an equal distance from zero but in opposite directions; examples include 5 and 5.
 Scientific notation: Format that expresses numbers as a product of a number between 1 and 10 and a power of ten.
 Squared: Indicates a number or expression multiplied by itself, represented by an exponent of two.
Arithmetic Operations and Properties
 Subtraction: Can be viewed as adding an opposite; for instance, a  b is equivalent to a + (b).
 Variable: A symbol (usually a letter) that represents an unknown quantity in expressions or equations.
 Zero power: States that any nonzero number raised to the power of zero results in 1.
 Addend: Any number involved in an addition operation; e.g., in 3 + 5, both 3 and 5 are addends.
 Minuend: The number from which another is subtracted in a subtraction operation.
 Subtrahend: The number being subtracted from the minuend in a subtraction operation.
 Dividend: The quantity being divided in a division operation.
 Divisor: The number by which another number (the dividend) is divided.
 Quotient: The result of a division operation.
Exponents and Their Properties
 Base: The number that is raised to a power in exponential form and also indicates place values in a numeral system.
 Negative exponent: If 'x' is a nonzero number and 'a' is an integer, then x^a = 1/x^a, reflecting division.
Operations with Integers
 Adding integers with like signs: Sum the absolute values and apply the common sign for the result.
 Adding integers with unlike signs: Compute the difference in absolute values and adopt the sign of the number with the larger absolute value.
Properties of Exponents
 Multiplication Property of Exponents: States that when multiplying like bases, add their exponents: x^a * x^b = x^(a+b).
 Power Property of Exponents: When raising a power to another power, multiply the exponents: (x^a)^b = x^(ab).
 Division Property of Exponents: Describes how to handle division with exponents.
Order of Operations

Order of Operations: A set sequence to solve mathematical expressions:
 Evaluate grouping symbols first.
 Compute all exponents.
 Perform multiplication and division from left to right.
 Conduct addition and subtraction from left to right.
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Description
Test your understanding of key concepts from Chapter 1 of BJU PreAlgebra. This quiz includes definitions for essential mathematical terms such as absolute value and additive inverse. Perfect for reinforcing your knowledge before exams!