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# BJU Pre-Algebra Chapter 1 Flashcards

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@SensationalChrysoprase468

### What is the absolute value?

• The product of a number with itself
• The sum of two numbers
• The distance of a number from zero on a number line (correct)
• The opposite of a number

-a

### What does cubed mean?

Any expression taken to the third power

### What is an exponent?

<p>A superscript that indicates how many times a base is used as a factor</p> Signup and view all the answers

### What are integers?

<p>The set of whole numbers and their opposites</p> Signup and view all the answers

### What are opposites?

<p>Two numbers an equal distance from zero on a number line but in opposite directions</p> Signup and view all the answers

### What is scientific notation?

<p>The expression of a number as the product of a number from 1 to 10 and a power of ten</p> Signup and view all the answers

### What does squared mean?

<p>A number or algebraic expression multiplied by itself</p> Signup and view all the answers

### What is a variable?

<p>A letter used to represent an unknown number</p> Signup and view all the answers

### What is zero power?

<p>Any nonzero number to the zero power equals 1</p> Signup and view all the answers

<p>Any of the two or more numbers being added together</p> Signup and view all the answers

### What is a minuend?

<p>A number in a subtraction problem from which another number is subtracted</p> Signup and view all the answers

### What is a subtrahend?

<p>The number in a subtraction problem being subtracted</p> Signup and view all the answers

### What is a dividend?

<p>The number in a division problem being divided into parts</p> Signup and view all the answers

### What is a divisor?

<p>The number by which another number is divided</p> Signup and view all the answers

### What is a quotient?

<p>The answer to a division problem</p> Signup and view all the answers

### What is the base in exponential notation?

<p>The number used as a factor in exponential form</p> Signup and view all the answers

### What is a negative exponent?

<p>For any nonzero real number x and any integer a, x^-a = 1/x^a</p> Signup and view all the answers

### What is one method for adding integers with like signs?

<p>Add the absolute values of the addends and use the sign of the addends for the sum</p> Signup and view all the answers

### What is one method for adding integers with unlike signs?

<p>Find the difference of the absolute values of the addends and use the sign of the addend with the greater absolute value for the sum</p> Signup and view all the answers

### What is the Multiplication Property of Exponents?

<p>For any number x and integers a and b, x^a * x^b = x^(a+b)</p> Signup and view all the answers

### What is the Power Property of Exponents?

<p>For any number x and integers a and b, (x^a)^b = x^(ab)</p> Signup and view all the answers

### What is the Division Property of Exponents?

<p>For any number x and integers a and b, x^a / x^b = x^(a-b)</p> Signup and view all the answers

### What are the first two steps in the Order of Operations?

<p>Evaluate expressions inside grouping symbols and evaluate all exponents</p> Signup and view all the answers

## Study Notes

### Mathematical Concepts and Definitions

• Absolute value: Measures the distance of a number from zero on a number line; always non-negative.
• 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 non-zero 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 non-zero 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 Pre-Algebra. This quiz includes definitions for essential mathematical terms such as absolute value and additive inverse. Perfect for reinforcing your knowledge before exams!

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