Sets of real Numbers
Warm Up
Write all names that apply to each number.
1.
7
8
5. 0
2.
36
6. − 100
3.
24
7. 5. 45
4. 0.75
8.
18
−
6
• Clarify understanding of the real number
system.
• Characterize sets and subsets of the real
numbers.
• Identify sets for real-world situations.
• Identify all of the possible subsets of the real
numbers for a given number.
• Decide whether a statement about a subset of
the real numbers is true or false.
• Identify the set of numbers that best
describes a real world situation.
Write all names that apply to each
number.
-10
12
3
• Real numbers are composed of rational and
irrational numbers.
• Whole numbers are rational numbers.
Identify the set of numbers that best
describe the situation. Explain your
choice.
• The amount of time that has passed since
midnight.
• The number of tickets sold to a basketball
game.
Knowing the types of numbers to
expect in different situations can
alert you to incorrect math as well
as to impossible situations. For
example, 13.5 shots made in
basketball is not possible, but an
average number of shots can equal
13.5.
1
11
Ronald states that the number is
not rational because when
converted into a decimal, it does
not terminate. Nathaniel says it is
rational because it is a fraction.
Which boy is correct? Explain.
Irrational numbers can never be
precisely represented in decimal
form. Why is this?
Exit Ticket
1. Write all the names that apply to −1. 5.
2. Tell whether the given statement is true or
false. Explain your choice. All numbers
between 1 and 2 are rational numbers.
3. Identify the set of numbers that best
describes the situation. Explain your choice.
The choices on a survey question change the
total points for the survey by -2, -1, 0, 1, or 2
points.