Classifying Rational Numbers Advanced

Whole numbers include all ​the (a)  

numbers and ​ (b)   .

Ex: 0, 1, 2, 3, 4,​

• natural
• zero
• decimals
• whole
• positives
• opposites
• fractions
• negatives

Integers are ​ ​ ​ (a)   numbers and their ​ (b)   . An integer can be ​ (c)   or ​ (d)   .

Ex: -2, -1, 0, 1, 2,

• decimals
• whole
• fractions
• natural
• opposites
• zero
• positive
• negative

• decimals
• fractions
• natural
• zero
• opposites
• positive
• negative
• whole
• counting

Which statement is NOT true?

• All whole numbers and integers are rational numbers.

• All rational numbers can be written as a fraction.

• A whole number cannot be written as a fraction.

• All integers are whole numbers but not all whole numbers are integers.

Which of the following numbers is a rational number but not an integer?

• 25

Determine if the following statement is always true, sometimes true or never true.

Decimals are rational numbers. ​ (a)  

• Always true
• Never true
• Sometimes true

Determine if the following statement is always true, sometimes true or never true.

Integers are negative numbers. ​ ​ (a)  

• Never true
• Sometimes true
• Always true

Determine if the following statement is always true, sometimes true or never true.

Improper fractions are whole numbers. ​ ​ (a)  

• Never true
• Always true
• Sometimes true

Determine if the following statement is always true, sometimes true or never true.

A proper fraction is a whole number. ​ (a)  

• Never true
• Always true
• Sometimes true

Place the numbers on the Venn Diagram.

e

f

g

h

d

c

b

a

0