Questions and Answers
What is the definition of accuracy?
What does precision refer to?
What are significant figures?
The amount of significant figures in a number that can be found by counting.
What is a relation in mathematics?
Signup and view all the answers
What defines a function?
Signup and view all the answers
What does range refer to?
Signup and view all the answers
What does domain refer to?
Signup and view all the answers
Any number (except 0) with an exponent of 0 equals ______.
Signup and view all the answers
What is the Negative Exponent Property?
Signup and view all the answers
What is the Product of Powers Property?
Signup and view all the answers
What is the Quotient of Powers Property?
Signup and view all the answers
What is the Power of a Product Property?
Signup and view all the answers
What is the Power of a Quotient Property?
Signup and view all the answers
What is the Power of a Power Property?
Signup and view all the answers
What are rational exponents?
Signup and view all the answers
What are unequal bases?
Signup and view all the answers
What are real numbers?
Signup and view all the answers
What are irrational numbers?
Signup and view all the answers
What are rational numbers?
Signup and view all the answers
What are integers?
Signup and view all the answers
What are whole numbers?
Signup and view all the answers
What are natural numbers?
Signup and view all the answers
What does PEMDAS stand for?
Signup and view all the answers
What are coefficients?
Signup and view all the answers
What are factors?
Signup and view all the answers
Study Notes
Measurement Terminology
- Accuracy refers to how close a measurement is to the true value of a quantity.
- Precision indicates the exactness of a measurement.
- Significant Figures are the digits in a number that contribute to its precision, determined by counting.
Mathematical Relationships
- Relation describes associations between input (x) and output (y) values.
- Function specifies a special type of relation where each input value corresponds to only one output value.
Key Concepts in Functions
- Domain represents all possible input (x) values.
- Range consists of all possible output (y) values.
Exponent Properties
- Zero Exponent Property states that any non-zero number raised to the power of zero equals one.
- Negative Exponent Property indicates that any number raised to a negative power is equivalent to the reciprocal of the number raised to the positive exponent.
- Product of Powers Property requires adding exponents when multiplying two powers with the same base.
- Quotient of Powers Property involves subtracting exponents when dividing powers with the same base.
- Power of a Product Property entails finding the power of each factor in a product and multiplying the results.
- Power of a Quotient Property requires applying the power to both the numerator and denominator, canceling any common factors.
- Power of a Power Property involves multiplying the exponents when raising a power to another power.
- Rational Exponent Property shows that fractional powers can be converted to radical expressions, where the numerator is the exponent and the denominator is the index of the radical.
Types of Numbers
- Real Numbers include all rational and irrational numbers; they encompass every non-imaginary number.
- Irrational Numbers cannot be expressed as a simple fraction, featuring non-repeating, non-terminating decimals.
- Rational Numbers are represented as fractions, including terminating or repeating decimals.
- Integers encompass positive and negative whole numbers, including zero, excluding fractions and decimals.
- Whole Numbers include all positive integers as well as zero but exclude negative values.
- Natural Numbers consist solely of positive integers, excluding zero.
Order of Operations
-
PEMDAS is a mnemonic for the order of operations:
- Parentheses
- Exponents
- Multiplication and Division (left to right)
- Addition and Subtraction (left to right)
Algebraic Components
- Coefficients are the numbers that precede variables, indicating how many times the variable is included in the expression.
- Factors are values that can be multiplied together to yield a product.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This quiz tests your understanding of key concepts in measurement terminology and mathematical functions. Topics include accuracy, precision, significant figures, relations, functions, domain, range, and exponent properties. Sharpen your math skills and grasp these essential concepts.