Rational or Irrational? Level 1
Rational or Irrational? Level 2
What does this mean?
True or False
Which of the following are rational?
100
Is 2 rational or irrational?
Rational
100
Is
sqrt(8)
rational or irrational?
Irrational
100
What does it mean for a decimal to terminate? Give an example.
A terminating decimal is a decimal that ends.
Example: 1.75
100
The sum of two rational numbers is always rational.
True
100
D
200
Is pi rational or irrational?
Irrational
200
Is
sqrt(2)*sqrt(2)
rational or irrational?
Rational
200
What does it mean for a decimal to have a pattern? Give an example.
It means that there is a repeating set of numbers after the decimal place. example: 1.343434343434
200
The sum of two irrational numbers is always rational.
False.
200
C
300
Is sqrt(2) rational or irrational?
Irrational
300
Is
sqrt(2)*(sqrt(2)+sqrt(8))
rational or irrational?
Rational
300
What does it mean to square something? Give an example.
To multiply it by itself. 22=2*2=4
300
The product of a rational number and another rational number is always rational.
True
300
A
400
Is 1.456 rational or irrational?
Rational
400
Is
sqrt(3)*(sqrt(3)+sqrt(5))
rational or irrational?
Irrational
400
What are the prime factors of a number? For example, what are the prime factors of 8?
Prime factors are any of the prime numbers that can be multiplied to give the original number. The prime factors of 8 are 2, 2, and 2.
400
The sum of a rational number and an irrational number is always irrational.
True
400
A
500
Is
sqrt(16)
rational or irrational?
Rational
500
Is
0*sqrt(3)
rational or irrational?
Rational
500
Why is
pi
an irrational number?
Because it is a decimal that never ends and does not repeat
500
The product of two irrational numbers is always irrational.
False
500
C