Introduction to rational numbers Quiz - ICSE Class 7 Mathematics
Free practice quiz: Introduction to rational numbers (ICSE Class 7 Mathematics). 46 multiple-choice questions with answers and explanations. Play online, no sign-up needed.
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If a rational number can be expressed as p/q where p and q are integers and q is not equal to zero, what is the value of q if the rational number is 7?
- 0
- 1
- 7
- Cannot be determined
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Answer: B. 1
Any integer can be expressed as a rational number by placing it over 1. So, 7 can be written as 7/1. Therefore, q = 1.
If a rational number is represented as p/q where p = 0 and q = 10, what is the value of this rational number?
- 10
- 0
- 1/0
- Undefined
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Answer: B. 0
Any rational number with a numerator of 0 and a non-zero denominator is equal to 0. Therefore, 0/10 = 0.
Which of the following statements about the number 0.5 is true?
- It is not a rational number.
- It can be written as 1/2.
- It can only be written as 5/10.
- It is equal to 0.
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Answer: B. It can be written as 1/2.
The decimal 0.5 can be expressed as 5/10, which in its simplest form is 1/2. Both 0.5 and 1/2 are representations of the same rational number.
The set of natural numbers is a subset of the set of:
- Integers
- Rational numbers
- Whole numbers
- All of the above
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Answer: D. All of the above
Natural numbers (1, 2, 3, ...) are a subset of whole numbers (0, 1, 2, 3, ...), integers (..., -2, -1, 0, 1, 2, ...), and rational numbers (numbers that can be expressed as p/q).
If a rational number is -1.5, what is its equivalent fraction in simplest form?
- -15/10
- -3/2
- 3/-2
- -15/10 and -3/2
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Answer: B. -3/2
The decimal -1.5 can be written as -15/10. To simplify, divide the numerator and denominator by their greatest common divisor, which is 5. -15 ÷ 5 / 10 ÷ 5 = -3/2.