Rational Numbers ( Q ) vs Irrational Numbers ( I )
1) Complete the Venn Diagram below by rewriting the italicized statements in the appropriate section of the diagram.
Statements
all fractions
decimals that end
decimals that never end
decimals
decimals that repeat
decimals that do not repeat
real numbers
Q
.
I
For question numbers 2 – 9, determine if the given number is rational or irrational. Write the word rational or irrational on the
line provided.
2) 5 _________________ 3) 6.7 _________________ 4) 2.345… _________________ 5) 0 _________________
6) √
_________________ 7)
_________________
8) 4. ̅̅̅̅̅̅̅̅̅̅ _________________ 9) pi _________________
10) While in math class, Sam was told to use 3.14 for pi. Sam knew that pi was an irrational number. He concluded that 3.14 was
also irrational because he substituted it for pi. Determine if Sam is correct and explain how you know.