Rational Numbers
A number that can be expressed as a fraction of two integers.
What is a rational number?
A number that cannot be expressed as a fraction of two integers.
What is an irrational number?
What is the square root of 16?
4
What is the cube root of 27?
3
Give an example of a rational number between 1 and 2.
Possible answers include 1.5, 3/2, etc.
Provide an example of an irrational number.
Possible answers include pi, square root of 2, etc.
Calculate the square root of 25.
5
Calculate the cube root of 64.
4
Is the number 0.75 rational or irrational? Explain why.
It is rational because it can be written as 3/4
How do you know if a square root is irrational?
If the number under the square root is not a perfect square.
Is the square root of 50 rational or irrational? Explain.
Irrational because 50 is not a perfect square.
Is the cube root -8 rational or irrational? Explain.
Rational because the cube root of -8 = -2
Are all integers rational numbers?
Yes, because they can be expressed as themselves over 1 (e.g., 5 = 5/1).
Is the number , square root 9, rational or irrational? Explain.
It is rational because the square root of 9 = 3, which is an integer.
What is the approximate value of the square root of 20?
About 4.47
What is the cube root of 1?
1
What is the decimal representation of a rational number?
It either terminates or repeats.
What is the decimal representation of an irrational number?
It goes on forever without repeating.
What is the result of √144+√36?
12 + 6 = 18
If the cube root of a number is 5, what is the number?
125, because 5x5x5 = 125.