NAME DATE PERIOD

Practice 7.2 SCORE ______

Extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers.

Multi-Step Example
To how many of the following sets of numbers does 16.5 belong: natural numbers, whole numbers, integers, rational numbers?
The set of natural numbers are the counting numbers, {1, 2, 3, …}.
16.5 is a decimal, so it is not a natural number.
The set of whole numbers includes 0 and the counting numbers.
16.5 is a decimal, so it is not a whole number.
The set of integers includes the whole numbers and their opposites.
16.5 is a decimal, so it is not an integer.
The set of rational numbers includes any number that can be written as a ratio.
16.5 can be written as 332 , so it is a rational number.
So, 16.5 belongs to only one set, the set of rational numbers.

Course 2 • Number and Operations TX3

NAME DATE PERIOD

1 Which statement is always true?

A An integer is a whole number.

B A rational number is a natural number.

C A whole number is a natural number.

D An integer is a rational number.

2 Which number on the number line is a whole number, but not a natural number?

F –6

G 0

H 5

J 9

3 Which subset of numbers does the shaded part of the model represent?

A natural numbers

B whole numbers

C integers

D rational numbers

4 To which subsets of numbers does the number – 16 belong?

F whole, rational

G integer, rational

H whole, integer, rational

J natural, whole, integer, rational

Course 2 • Number and Operations TX3

NAME DATE PERIOD

Practice 7.2 (continued) SCORE ______

Course 2 • Number and Operations TX3

NAME DATE PERIOD

5 Which number is NOT a rational number?

A –26.25

B –10

C 7

D 143

6 The table shows the heights of four rock climbers compared to sea level. Which height, in feet, is NOT an integer?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

7 Which number is a rational number, but not an integer?

F – 202

G -164

H 144

J 246

8 The amount of vinegar that Melody used for a recipe can be written as a whole number. Which could be the amount of vinegar that Melody used?

A –3.75 tsp

B 1.5 tsp

C 213 tsp

D 123 tsp

9 Which Venn diagram correctly shows the relationships between the subsets of rational numbers?

F

G

H

J

10 To which subsets of numbers does 3015 belong?

A whole, rational

B integer, rational

C whole, integer, rational

D natural, whole, integer, rational

Course 2 • Number and Operations TX3

NAME DATE PERIOD

Practice 7.2 SCORE ______

Student Recording Sheet

Fill in the correct answer. For gridded-response questions, write your answers in the boxes on the answer grid and fill in the bubbles to match your answers.

Course 2 • Number and Operations TX3

NAME DATE PERIOD

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Course 2 • Number and Operations TX3