Section 1.4 - Rational Numbers
This quiz assesses understanding of rational numbers, including their properties and representation in various forms such as fractions and decimals.
- 1.
Of which set does 0 not belong?
- A.
Natural numbers
- B.
Whole numbers
- C.
Integers
- D.
Rational numbers
Correct Answer
A. Natural numbersExplanation
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:
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- 2.
Rename 3/8 as a decimal
- A.
0.375
- B.
0.38
- C.
0.4125
- D.
0.425
Correct Answer
A. 0.375Explanation
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:
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- 3.
How can 0.54 be written as a fraction?
- A.
5/9
- B.
6/11
- C.
17/30
- D.
27/50
Correct Answer
D. 27/50Explanation
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:
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- 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
Correct Answer
D. 5/16Explanation
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:
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- 5.
Which statement is true?
- A.
-5 < -3
- B.
-2.3 > -2.15
- C.
-2 2/5 < -2.4
- D.
-3.21 > -3.2
Correct Answer
A. -5 < -3Explanation
The given statement "-5 < -3" is true because -5 is less than -3 on the number line.Rate this question:
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- 6.
To which set of numbers does -2.75 belong?
- A.
Natural numbers
- B.
Whole numbers
- C.
Integers
- D.
Rational numbers
Correct Answer
D. Rational numbersExplanation
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:
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- 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
Correct Answer
A. -11 / 3Explanation
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:
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- 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
Correct Answer
B. 15Explanation
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:
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- 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
Correct Answer
B. All integers are also rational numbersExplanation
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:
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Mar 20, 2023Quiz Edited by
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Jan 31, 2009Quiz Created by
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