Podcast
Questions and Answers
What is a rational number?
What is a rational number?
- A nonterminating, nonrepeating decimal
- A terminating or repeating decimal (correct)
- A number that can be expressed as a quotient of two integers (correct)
- A number that cannot be expressed as a quotient of two integers
What is an irrational number?
What is an irrational number?
- A repeating decimal
- A number that cannot be expressed as a quotient of two integers (correct)
- A terminating decimal
- A number that can be expressed as a quotient of two integers
Is 1384 a rational number?
Is 1384 a rational number?
Yes
Is π a rational number?
Is π a rational number?
-0.28764... is what type of number?
-0.28764... is what type of number?
Is 0 a rational number?
Is 0 a rational number?
-19.78 is what type of number?
-19.78 is what type of number?
-√3/5 + 10.8 is what type of number?
-√3/5 + 10.8 is what type of number?
-7.832198653... is what type of number?
-7.832198653... is what type of number?
-0.8662866239... is what type of number?
-0.8662866239... is what type of number?
In $3√13$, what is the term called 13?
In $3√13$, what is the term called 13?
In $3√13$, what is the term called 3?
In $3√13$, what is the term called 3?
What is the expression $3√13$ called?
What is the expression $3√13$ called?
0.225 equals 9/40.
0.225 equals 9/40.
-0.6 equals -4/7.
-0.6 equals -4/7.
0.8 equals 8/10.
0.8 equals 8/10.
-3.143 equals -3140/999.
-3.143 equals -3140/999.
Study Notes
Rational and Irrational Numbers
- Rational Number: Can be expressed as a quotient of two integers; examples include terminating or repeating decimals.
- Irrational Number: Cannot be expressed as a quotient of two integers; characterized by nonterminating, nonrepeating decimals.
Examples of Rational Numbers
- 1,384: Classified as a rational number.
- 0: Considered a rational number since it can be expressed as 0/1.
- -19.78: Also a rational number, expressible as -1978/100.
Examples of Irrational Numbers
- π (pi): A well-known irrational number not expressible as a simple fraction.
- -0.28764...: An example of an irrational number with a nonterminating decimal.
- -√3/5 + 10.8: Results in an irrational number.
- -7.832198653... and -0.8662866239...: Both are classified as irrational due to their nonrepeating, nonterminating nature.
Radicals and Their Components
- In the expression ³√13:
- Radicand: The number inside the radical, here it is 13.
- Index: The number that indicates the root being taken, here it is 3.
- Radical: The entire expression (³√13) is known as a radical.
True or False Statements About Rational Numbers
- True: 0.225 equals 9/40, confirming its rationality.
- False: -0.6 equals -4/7; this statement is incorrect.
- False: 0.8 is not equal to 8/10; this statement is false.
- True: -3.143 equals -3140/999, verifying its classification as a rational number.
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Description
Test your knowledge of rational and irrational numbers with this flashcard quiz. You'll learn definitions and identify examples of each type of number. Great for preparing for Algebra II assessments!
