Test Of Rational Numbers (Chapter-1)
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What should be added to -5/4 to get -1?
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-1/4
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1/4
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1
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-3/4
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About This Quiz
This quiz assesses understanding of rational numbers, covering topics like additive identities, multiplicative identities, number ordering, and basic operations. It is designed to enhance learners' skills in handling rational numbers, demonstrating practical applications and commutative properties.
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Questions and Answers
- 2.
Which of the following is the Multiplicative identity for rational numbers?
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1
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-1
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0
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NONE OF THESE
Correct Answer
A. 1Explanation
The multiplicative identity for rational numbers is 1. This means that when any rational number is multiplied by 1, the result is the original number. For example, if we multiply 1/2 by 1, we get 1/2. Therefore, 1 is the correct answer as it satisfies the definition of a multiplicative identity for rational numbers.Rate this question:
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- 3.
Which of the following lies between 0 and -1?
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0
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-3
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-2/3
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2/3
Correct Answer
A. -2/3Explanation
The given options are 0, -3, -2/3, and 2/3. The question asks for a number that lies between 0 and -1. Among the given options, only -2/3 satisfies this condition as it is a negative number that is closer to 0 than -1. Therefore, -2/3 is the correct answer.Rate this question:
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- 4.
Which of the following is the product of 7/8 and -4/21?
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-1/6
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1/12
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-16/63
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-147/16
Correct Answer
A. -1/6Explanation
To find the product of two fractions, you multiply their numerators together and their denominators together. In this case, the numerator of 7/8 is multiplied by the numerator of -4/21, which gives -28. The denominator of 7/8 is multiplied by the denominator of -4/21, which gives 168. Therefore, the product of 7/8 and -4/21 is -28/168. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 28, we get -1/6.Rate this question:
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- 5.
(-3/8) + (1/7) = (1/7) + (-3/8) is an example to show that
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Rational numbers are closed under addition.
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Addition of rational number is associative.
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Addition of rational numbers is commutative.
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Rational numbers are distributive under addition.
Correct Answer
A. Addition of rational numbers is commutative.Explanation
The given equation (-3/8) + (1/7) = (1/7) + (-3/8) demonstrates the commutative property of addition for rational numbers. This property states that changing the order of the numbers being added does not affect the result. In this case, rearranging the order of the rational numbers (-3/8) and (1/7) does not change the sum, indicating that addition of rational numbers is commutative.Rate this question:
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- 6.
The equivalent rational number of 7/9, whose denominator is 45 is ________
Correct Answer
35/45Explanation
To find the equivalent rational number of 7/9 with a denominator of 45, we need to multiply both the numerator and denominator by the same number to get the desired denominator. In this case, we can multiply both 7 and 9 by 5 to get 35/45. Therefore, the equivalent rational number is 35/45.Rate this question:
- 7.
The numbers________and ________are their own reciprocals.
Correct Answer
1,-1
1,-1Explanation
The numbers 1 and -1 are their own reciprocals because when a number is multiplied by its reciprocal, the result is always 1. In this case, 1 multiplied by its reciprocal (1) equals 1, and -1 multiplied by its reciprocal (-1) also equals 1. Therefore, both 1 and -1 can be considered as their own reciprocals.Rate this question:
- 8.
The reciprocal of (2/5) X (-4/9) is ________
Correct Answer
-45/8Explanation
The reciprocal of a number is obtained by flipping the numerator and denominator of the fraction. In this case, the reciprocal of (2/5) X (-4/9) would be (-9/4) X (5/2), which simplifies to -45/8.Rate this question:
- 9.
There are________rational numbers between two rational numbers.
Correct Answer
Infinitely manyExplanation
The statement is asking about the number of rational numbers between two given rational numbers. A rational number can be expressed as a fraction, where the numerator and denominator are integers. Between any two rational numbers, there are infinitely many other rational numbers. This is because we can always find a fraction that lies between any two given fractions by taking their average. Therefore, the correct answer is "Infinitely many."Rate this question:
- 10.
Between the numbers (15/20) and (35/40), the greater number is ________
Correct Answer
35/40Explanation
The given question asks for the greater number between 15/20 and 35/40. To determine the greater number, we can compare the fractions by finding a common denominator. In this case, the common denominator is 40. When we convert both fractions to have a denominator of 40, we get 30/40 and 35/40. Since 35/40 is greater than 30/40, the correct answer is 35/40.Rate this question:
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Mar 05, 2025Quiz Edited by
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Apr 28, 2020Quiz Created by
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