8.2A Classifying Rational Numbers Retest Practice Problems

Sort the following numbers

Groups:

(a) Irrational

,

(b) Rational

,

(c) Integer

,

(d) Whole/Natural

• -2

• 0

• 3

• -67.3

• -17

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8.2.A

Identify the sections of the table.

Groups:

(a) Rational

,

(b) Irrational

• 6.3

• 0.75

• 3.14

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8.2.A

Place the numbers in correct classification

a

b

c

d

e

f

g

h

i

Rational

Irrational

Whole

-25

Integer

-5.25

Natural

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8.2.A

Which of the following visual representations correctly displays a relationship between sets of real numbers?

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8.2.A

Why is -15 NOT a natural number?

• Because it is larger than 10

• Because it can be written as a fraction.

• Because it is irrational

• because it is a negative number

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8.2.A

• 
• 
• 
• 

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8.2.A

What defines the natural numbers? (Select 2)

(need help?)

• Counting numbers starting at 0

• Counting numbers starting at 1

• Positive, non-decimal numbers. Not including 0

  (1, 2, 3, ...)

• Positive or Negative non-decimal numbers

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8.2.A

• Irrational number

• Natural number

• Unnatural number

• Fraction

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8.2.A

• rational

• irrational

Answer explanation

Remember the 3 visual indicators for irrational numbers.

1. π

2. three dots (...)

3. square root (√ ) of an imperfect square

100 is a perfect square so it is rational.

√100 = 10

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8.2.A

A decimal that stops is which type of number? Example: 2.75

• Rational
• Irrational

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8.2.A