Quiz

Exponents and Surds

The Number System

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1. Read and understand the Question. 2. Pay attention to details. 3. There are for options per Question. 4. You only have one chance to choose the correct answer.
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Quiz

The Number System Score: 0/10
1. Which of the following is a Real Number?

A. 2
B. -3
C. 5
D. All of the above
2. Which of the following is a set of Integers?

A. { 0, 1, 2, 3, ... }
B. { ... -2, -1, 0, 1, 2, ... }
C. { 1, 2, 3, ... }
D. { ... 1 2 , 1, 3 2 , 2, ... }
3. Which of the following is an Irrational Number?

A. 1000
B. 1,33333...
C. 2,23606...
D. All of the above
4. Which of the following is a Non-Real Number?

A. -27 3
B. 5
C. 2,23606...
D. None of the above
5. Which of the following is a Non-Real Number?

A. -16 4
B. -25 7
C. -0.3333...
D. All of the above

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Question 1 of 10

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Solutions

The Number System Question 1 of 5
1. Which of the following is a Real Number?

A. 2
B. -3
C. 5
D. All of the above
Correct Answer
Option D
Detailed Solution

Solution Details

Real Numbers ℝ

This is a set of all Rational and Irrational Numbers denoted by ℝ.

ℝ = { ℚ , ℚ' }

For more information please see

The Number System

The Number System Question 2 of 5
2. Which of the following is a set of Integers?

A. { 0, 1, 2, 3, ... }
B. { ... -2, -1, 0, 1, 2, ... }
C. { 1, 2, 3, ... }
D. { ... 1 2 , 1, 3 2 , 2, ... }
Correct Answer
Option B
Detailed Solution

Solution Details

Integers ℤ

This is a set of Positive and Negative Whole Numbers including 0 denoted by ℤ.

ℤ = { -∞ , ... , -3 , -2 , -1 , 0 , 1 , 2 , 3 , ... , ∞ }

For more information please see

The Number System

The Number System Question 3 of 5
3. Which of the following is an Irrational Number?

A. 1000
B. 1,33333...
C. 2,23606...
D. All of the above
Correct Answer
Option C
Detailed Solution

Solution Details

Irrational Numbers ℚ'

This is a set of numbers denoted by ℚ', that cannot be written as a fraction and have decimals that do not terminate or reccur.

For Example the value of pi

For more information please see

The Number System

The Number System Question 4 of 5
4. Which of the following is a Non-Real Number?

A. -27 3
B. 5
C. 2,23606...
D. None of the above
Correct Answer
Option D
Detailed Solution

Solution Details

Non-Real Numbers

These are numbers that are undefined or do not exist.

For Example any number divided by 0 or the square root(even root) of a negative number.

For more information please see

The Number System

The Number System Question 5 of 5
5. Which of the following is a Non-Real Number?

A. -16 4
B. -25 7
C. -0.3333...
D. All of the above
Correct Answer
Option A
Detailed Solution

Solution Details

Non-Real Numbers

These are numbers that are undefined or do not exist.

For Example any number divided by 0 or the square root(even root) of a negative number.

For more information please see

The Number System