Questions and Answers
What is a rational number?
Which of the following are natural numbers?
What are whole numbers?
Set of natural numbers and zero.
What are integers?
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What is a terminating decimal?
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What is a repeating decimal?
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What are opposites in terms of rational numbers?
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What is absolute value?
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What is the greatest common factor?
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What is prime factorization?
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What is the simplest form of a fraction?
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What does equivalent mean?
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What is the least common multiple?
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What is the least common denominator?
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What are algebraic fractions?
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What is the Cross-Products Rule?
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What does the Distributive Property state?
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What are complex fractions?
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What is the Density Property of Rational Numbers?
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What is the Multiplicative Property of -1?
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What is exponential form?
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What is a power in terms of numbers?
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What is the correct order of operations?
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Study Notes
Rational Numbers
- Defined as numbers that can be expressed in fractional form.
Natural Numbers
- Refers to the set of counting numbers, starting from 1 and increasing indefinitely.
Whole Numbers
- Comprises all natural numbers along with zero.
Integers
- Includes all whole numbers as well as their negative counterparts.
Decimals
- Terminating Decimal: A decimal number that has a finite number of digits.
- Repeating Decimal: A decimal that features a digit or a sequence of digits that repeats infinitely.
Opposites
- Rational numbers that are additive inverses of each other (e.g., 5 and -5).
Absolute Value
- Measures the distance of a number from zero on the number line, always resulting in a non-negative value.
Greatest Common Factor (GCF)
- Identified as the largest number that evenly divides all numbers in a given set.
Prime Factorization
- Involves expressing a number as the product of its prime factors.
Simplest Form
- A fraction is in simplest form when it is expressed in its lowest terms.
Equivalence
- The term "equivalent" signifies equality in value or representation.
Least Common Multiple (LCM)
- The smallest non-zero multiple that two or more numbers share.
Least Common Denominator (LCD)
- Denotes the LCM of the denominators in a set of fractions.
Algebraic Fractions
- Defined as fractions that incorporate a variable in either the numerator or denominator.
Cross-Products Rule
- States that for two fractions, if the cross-products are equal, the fractions themselves are equal.
Distributive Property
- Mathematical principle stated as: ( a(b + c) = ab + ac ).
Complex Fractions
- A fraction that contains one or more fractions in its numerator or denominator.
Density Property of Rational Numbers
- Indicates that between any two rational numbers, an infinite number of rational numbers exists.
Multiplicative Property of -1
- If a number or expression is multiplied by -1, the outcome is the additive inverse (opposite) of that number or expression.
Exponential Form
- Representation of a number using a base and an exponent (e.g., ( a^n )).
Power
- Refers to a number presented in exponential form or its equivalent standard form.
Order of Operations
- Sequence of calculations:
- Grouping Symbols
- Exponents
- Multiplication or Division (from left to right)
- Addition or Subtraction (from left to right).
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Description
This quiz focuses on Chapter 1 of the Sadlier-Oxford Foundations of Algebra, covering key concepts related to rational numbers. You'll explore definitions of rational numbers, natural numbers, whole numbers, integers, and terminating decimals through flashcards. Test your understanding and strengthen your algebraic foundation.