Question 1

Which of the following are rational numbers?

a) 0.75 b) √2 c) -4 d) π

Accepted Answer

a) 0.75 and c) -4

Question 2

State whether the decimal expansion of each number is terminating, repeating, or neither.

a) 1.5

b) 0.333...

c) 2.645751311... (√7)

Accepted Answer

terminating, repeating, neither

Question 3

Write $0.\overline{6}$ (0.666...) as a fraction.

Accepted Answer

2/3

Question 4

Place the following numbers in order from least to greatest on a number line.

a) √3 ≈ 1.732

b) 1.7

c) √5 ≈ 2.236

d) 1.5

Accepted Answer

1.5  <1.7< √3 ≈ 1.732< √5 ≈ 2.236

Question 5

Solve the following problem:

A rational number is added to an irrational number. Is the result rational or irrational?

Accepted Answer

The result is irrational.

Question 6

Which of the following decimal expansions represents a rational number?

Accepted Answer

$0.\overline{\mathrm{3}}$

Answer

$0.\overline{\mathrm{3}}$

Answer

$0.\overline{6}$

Answer

$0.\overline{6}$

Question 7

Which of the following is an irrational number?

Accepted Answer

$0.\overline{6}$

Answer

$0.\overline{6}$

Answer

$0.\overline{6}$

Answer

$0.\overline{\mathrm{3}}$

Question 8

Which of the following approximations is closest to the value of $0.\overline{6}$

Accepted Answer

$0.\overline{6}$

Answer

$0.\overline{6}$

Answer

$0.\overline{\mathrm{3}}$

Answer

$0.\overline{6}$

Question 9

Which of the following approximations is closest to the value of $0.\overline{6}$

Accepted Answer

$0.\overline{6}$

Answer

$0.\overline{6}$

Answer

$0.\overline{\mathrm{3}}$

Answer

$0.\overline{6}$

Question 10

Which of the following is true about the decimal expansion of $0.\overline{6}$

Accepted Answer

It repeats.

Answer

It is irrational.

Answer

It is terminating.

Answer

It is neither terminating nor repeating.

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