Integers And Set Of Real Numbers Quiz

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| By Kenm21804

Kenm21804

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Quizzes Created: 6 | Total Attempts: 9,753

Questions: 10 | Attempts: 8,059 | Updated: Oct 16, 2024

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Integers And Set Of Real Numbers Quiz - Quiz

Are you aware of integers, whole numbers, and sets of real numbers? Well then, why not test your knowledge with a quick, super fun quiz? Do you think you can answer all the questions without any help? If yes, then give our Math quiz a fair try. Please read the questions carefully before answering. All the questions are compulsory, and your marking will be dependent on the number of answers you get correct. Let's see if you can get a high score on this quiz! You can play this quiz as often as you like. Have fun!

Questions and Answers

1.

Identify the set(s) to which the number 21 belongs.
- A.
  
  Natural numbers
- B.
  
  Whole numbers
- C.
  
  Integers
- D.
  
  Rational numbers
Correct Answer(s)
A. Natural numbers
B. Whole numbers
C. Integers
D. Rational numbers

Explanation
The number 21 belongs to the set of natural numbers because it is a positive whole number. It also belongs to the set of whole numbers because it includes zero as well. Additionally, 21 belongs to the set of integers because it is a whole number that can be positive or negative. Lastly, 21 belongs to the set of rational numbers because it can be expressed as a fraction, 21/1. Therefore, 21 belongs to the sets of natural numbers, whole numbers, integers, and rational numbers.

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13
3
2.

Identify the set(s) to which the number -15 belongs.
- A.
  
  Natural numbers
- B.
  
  Whole numbers
- C.
  
  Integers
- D.
  
  Rational
Correct Answer(s)
C. Integers
D. Rational

Explanation
Natural numbers are positive counting numbers starting from 1 (1, 2, 3, ...). Since -15 is negative, it is not a natural number.
Whole numbers include all natural numbers and 0, but not negative numbers. Therefore, -15 is not a whole number.
Integers include all positive and negative whole numbers, as well as 0. Since -15 is a negative whole number, it belongs to the set of integers.
Rational numbers are numbers that can be expressed as a fraction of two integers (e.g., -15 can be written as -15/1), so -15 is a rational number.
Thus, -15 belongs to the sets of integers and rational numbers.

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5
0
3.

Identify the set(s) to which the number 1/2 belongs.
- A.
  
  Natural numbers
- B.
  
  Whole numbers
- C.
  
  Integers
- D.
  
  Rational numbers
Correct Answer
D. Rational numbers

Explanation
The number 1/2 belongs to the set of rational numbers because it can be expressed as a fraction, where the numerator is 1 and the denominator is 2. Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero.

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6
3
4.

Identify the set(s) to which the number 0 belongs. (Select all that apply)
- A.
  
  Natural numbers
- B.
  
  Whole numbers
- C.
  
  Integers
- D.
  
  Rational numbers
Correct Answer(s)
B. Whole numbers
C. Integers
D. Rational numbers

Explanation
The number 0 belongs to the set of whole numbers because it is a non-negative integer. It also belongs to the set of integers because it can be expressed as a fraction with a denominator of 1. Additionally, 0 is a rational number because it can be expressed as the ratio of two integers.

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6
0
5.

Identify the set(s) to which the number -1/8 belongs.
- A.
  
  Natural numbers
- B.
  
  Whole numbers
- C.
  
  Integers
- D.
  
  Rational numbers
Correct Answer
D. Rational numbers

Explanation
The number -1/8 belongs to the set of rational numbers because it can be expressed as a fraction, where the numerator is an integer (-1) and the denominator is a non-zero integer (8). Rational numbers are numbers that can be expressed as a fraction of two integers.

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3
0
6.

Which of the following is NOT an integer?
- A.
  
  -5
- B.
  
  0
- C.
  
  3/4
- D.
  
  100
Correct Answer
D. 100

Explanation
Integers are whole numbers (no fractions or decimals) that can be positive, negative, or zero. The number 3/4 is a fraction, representing three-quarters of a whole, and therefore does not fit the definition of an integer. The other options, -5, 0, and 100, are all whole numbers and thus integers.

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5
0
7.

Choose the equation(s) that fit the pattern n/n = 1.
- A.
  
  3/3 =1
- B.
  
  1.5/1.5 =1
- C.
  
  1,435/1,435 =1
- D.
  
  0/0 = 1
Correct Answer(s)
A. 3/3 =1
B. 1.5/1.5 =1
C. 1,435/1,435 =1

Explanation
Dividing by 0 gives an undefined answer, so it cannot = 1

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6
0
8.

The number that can be written as a fraction is what?
- A.
  
  Natural number
- B.
  
  Rational number
- C.
  
  Whole number
- D.
  
  All of the above
Correct Answer
B. Rational number

Explanation
A rational number is a number that can be expressed as a fraction, where the numerator and denominator are both integers. This includes all natural numbers, whole numbers, and integers, as they can be written as fractions with a denominator of 1. Therefore, the correct answer is "Rational number".

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9.

Which of the following does not apply to 7/8?
- A.
  
  Integer
- B.
  
  Rational number
- C.
  
  Fraction
- D.
  
  Whole number
- E.
  
  A and D
- F.
  
  A and B
- G.
  
  A and C
- H.
  
  None of the above
Correct Answer
E. A and D

Explanation
7/8 is a rational number because it can be written as a fraction. It is also a fraction by definition. However, it is not an integer or a whole number because integers and whole numbers are whole numbers without any fractional parts. Therefore, "Integer" and "Whole number" do not apply to 7/8.

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0
0
10.

_________ is the set of numbers that includes positive and negative numbers.
- A.
  
  Whole numbers
- B.
  
  Rational numbers
- C.
  
  Natural numbers
- D.
  
  Integers
Correct Answer
D. Integers

Explanation
Integers is the correct answer because it is the set of numbers that includes both positive and negative numbers, as well as zero. Whole numbers only include positive numbers and zero, while rational numbers include fractions and decimals. Natural numbers only include positive numbers, excluding zero and negative numbers. Therefore, integers is the most inclusive set that includes both positive and negative numbers.

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Current Version
Oct 16, 2024

Quiz Edited by
ProProfs Editorial Team
Feb 06, 2010

Quiz Created by
Kenm21804

Integers And Set Of Real Numbers Quiz

Identify the set(s) to which the number 21 belongs.

Identify the set(s) to which the number -15 belongs.

Identify the set(s) to which the number 1/2 belongs.

Identify the set(s) to which the number 0 belongs. (Select all that apply)

Identify the set(s) to which the number -1/8 belongs.

Which of the following is NOT an integer?

Choose the equation(s) that fit the pattern n/n = 1.

The number that can be written as a fraction is what?

Which of the following does not apply to 7/8?

_________ is the set of numbers that includes positive and negative numbers.