Why the product of nonzero rational number and a rational number is an irrational
🔄 Click to see definition
Definition1/12
Actually the product of a nonzero rational number and another rational number will always be rational.
The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)
🔄 Click to see term
Term1/12
Is an irrational number plus an irrational number rational
🔄 Click to see definition
Definition1/12
No.
The sum of an irrational number and any other [real] number is
irrational.
🔄 Click to see term
Term1/12
Which of the following statements is true if p is an integer and q is a nonzero integer
🔄 Click to see definition
Definition1/12
Then p/q is a rational number.
🔄 Click to see term
Term1/12
The sum of a rational number and an irrational number is
🔄 Click to see definition
Definition1/12
The sum of a rational and irrational number must be an
irrational number.
🔄 Click to see term
Term1/12
Which number produces a rational number when added to 0.25
🔄 Click to see definition
Definition1/12
Every rational number does.
🔄 Click to see term
Term1/12
What type of number cannot be written as a fraction pq where p and q are integers and q is not equal to zero
🔄 Click to see definition
Definition1/12
an irrational number
🔄 Click to see term
Term1/12
The number 0.4 can be written as 410 so it is a rational number
🔄 Click to see definition
Definition1/12
That is correct.
🔄 Click to see term
Term1/12
Which number produces a rational number when added to 15
🔄 Click to see definition
Definition1/12
Any rational number does.
🔄 Click to see term
Term1/12
How algebraic expression is a difference with two terms
🔄 Click to see definition
Definition1/12
An algebraic expression need not be a difference of two
terms.
🔄 Click to see term
Term1/12
Can 0.2 can be written as so it is a rational number
🔄 Click to see definition
Definition1/12
0.2 is a rational number. It can be written as 2/10
🔄 Click to see term
Term1/12
What tule of number cannot be written as a fraction p\q where p and q are integers and q is not equal to zero
🔄 Click to see definition
Definition1/12
T
🔄 Click to see term
Term1/12
Which number produces an irrational number when multiplied by 1/3
🔄 Click to see definition
Definition1/12
J
🔄 Click to see term
🥳
Great job!
You studied all the cards in this guide.
Rate this guide:
☆★☆★☆★☆★☆★
Start overPrint
Full screen
Rate this Study Guide:
☆★☆★☆★☆★☆★
Cards in this guide (12)
Why the product of nonzero rational number and a rational number is an irrational
Actually the product of a nonzero rational number and another rational number will always be rational.
The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)
Is an irrational number plus an irrational number rational
No.
The sum of an irrational number and any other [real] number is
irrational.
Which of the following statements is true if p is an integer and q is a nonzero integer
Then p/q is a rational number.
The sum of a rational number and an irrational number is
The sum of a rational and irrational number must be an
irrational number.
Which number produces a rational number when added to 0.25
Every rational number does.
What type of number cannot be written as a fraction pq where p and q are integers and q is not equal to zero
an irrational number
The number 0.4 can be written as 410 so it is a rational number
That is correct.
Which number produces a rational number when added to 15
Any rational number does.
How algebraic expression is a difference with two terms
An algebraic expression need not be a difference of two
terms.
Can 0.2 can be written as so it is a rational number
0.2 is a rational number. It can be written as 2/10
What tule of number cannot be written as a fraction p\q where p and q are integers and q is not equal to zero
T
Which number produces an irrational number when multiplied by 1/3