# Section 1.4 - Rational Numbers

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
| By Seixeiroda
S
Seixeiroda
Community Contributor
Quizzes Created: 41 | Total Attempts: 24,857
Questions: 9 | Attempts: 771

Settings

Complete the following questions

• 1.

### Of which set does 0 not belong?

• A.

Natural numbers

• B.

Whole numbers

• C.

Integers

• D.

Rational numbers

A. Natural numbers
Explanation
The set of natural numbers includes all positive whole numbers starting from 1. Since 0 is not a positive number, it does not belong to the set of natural numbers.

Rate this question:

• 2.

### Rename 3/8 as a decimal

• A.

0.375

• B.

0.38

• C.

0.4125

• D.

0.425

A. 0.375
Explanation
To convert a fraction to a decimal, divide the numerator (3) by the denominator (8). In this case, 3 divided by 8 equals 0.375. Therefore, the correct answer is 0.375.

Rate this question:

• 3.

### How can 0.54 be written as a fraction?

• A.

5/9

• B.

6/11

• C.

17/30

• D.

27/50

D. 27/50
Explanation
To write 0.54 as a fraction, we need to consider the decimal place value. The digit 5 is in the hundredths place, so we can write it as 5/100. Simplifying this fraction gives us 27/50, which is the equivalent fraction for 0.54.

Rate this question:

• 4.

### Which fraction is greater than 3/10, but less than 1/3?

• A.

3/8

• B.

7/20

• C.

7/25

• D.

5/16

D. 5/16
Explanation
The fraction 5/16 is greater than 3/10 because when both fractions are converted to decimals, 5/16 is approximately 0.3125 while 3/10 is 0.3. On the other hand, 5/16 is less than 1/3 because when both fractions are converted to decimals, 5/16 is approximately 0.3125 while 1/3 is approximately 0.3333. Therefore, 5/16 is the fraction that is greater than 3/10 but less than 1/3.

Rate this question:

• 5.

### Which statement is true?

• A.

-5 < -3

• B.

-2.3 > -2.15

• C.

-2 2/5 < -2.4

• D.

-3.21 > -3.2

A. -5 < -3
Explanation
The given statement "-5 < -3" is true because -5 is less than -3 on the number line.

Rate this question:

• 6.

### To which set of numbers does -2.75 belong?

• A.

Natural numbers

• B.

Whole numbers

• C.

Integers

• D.

Rational numbers

D. Rational numbers
Explanation
The number -2.75 belongs to the set of rational numbers because it can be expressed as a fraction, -11/4, where the numerator and denominator are integers. Rational numbers include integers, fractions, and decimals that can be written as a fraction. Since -2.75 can be written as a fraction, it falls under the category of rational numbers.

Rate this question:

• 7.

### How can -3 2/3 be written as the quotient of two integers?

• A.

-11 / 3

• B.

-3 / 11

• C.

-11 / -3

• D.

-3 / - 11

A. -11 / 3
Explanation
To write -3 2/3 as the quotient of two integers, we need to convert the mixed number to an improper fraction. -3 2/3 can be written as -11/3, where -11 is the numerator and 3 is the denominator. This is the correct answer.

Rate this question:

• 8.

### A basketball team has won 0.625 of its games.  If the team has played 24 games, how many games has the team won?

• A.

14

• B.

15

• C.

16

• D.

18

B. 15
Explanation
If the basketball team has won 0.625 of its games, it means they have won 62.5% of their games. To find the number of games they have won, we multiply the percentage by the total number of games played. So, 0.625 * 24 = 15. Therefore, the team has won 15 games.

Rate this question:

• 9.

### Which sentence is true?

• A.

All whole numbers are also natural numbers

• B.

All integers are also rational numbers

• C.

All rational numbers are also integers

• D.

All integers are also whole numbers

B. All integers are also rational numbers
Explanation
All integers can be expressed as fractions with a denominator of 1, making them rational numbers. This is because any integer divided by 1 will result in a fraction. Therefore, the statement "All integers are also rational numbers" is true.

Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

• Current Version
• Mar 20, 2023
Quiz Edited by
ProProfs Editorial Team
• Jan 31, 2009
Quiz Created by
Seixeiroda

Related Topics