Rational Numbers and Their Operations
Math ⇒ Number and Operations
Rational Numbers and Their Operations starts at 6 and continues till grade 12.
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See sample questions for grade 12
Divide: (−5/6) ÷ (2/3)
Divide: (4/9) ÷ (2/3)
Explain why the sum of a rational number and an irrational number is always irrational.
Express 0.333... as a fraction in simplest form.
Express 2.125 as a rational number in simplest form.
Express the repeating decimal 0.727272... as a fraction in simplest form.
If a and b are rational numbers, and b ≠ 0, what is the result of a ÷ b?
A student claims that 0 is a rational number. Is this claim correct?
If a rational number is negative, which of the following must be true?
(1) The numerator is negative and the denominator is positive
(2) The numerator is positive and the denominator is negative
(3) Both numerator and denominator are negative
(4) Either (1) or (2)
Which of the following is equivalent to 0.6 (repeating)?
(1) 2/3
(2) 3/5
(3) 5/8
(4) 6/11
Which of the following is NOT a rational number?
(1) 7/8
(2) 0.121212...
(3) 2.5
(4) √5
Which of the following is the multiplicative inverse of −7/9?
(1) 9/7
(2) −9/7
(3) 7/9
(4) −7/9
A rational number is defined as any number that can be expressed as __________, where p and q are integers and q ≠ 0.
Fill in the blank: The decimal representation of a rational number is either __________ or __________.
Fill in the blank: The product of a nonzero rational number and its reciprocal is __________.
Fill in the blank: The set of rational numbers is __________ under addition, subtraction, multiplication, and division (except by zero).
A student claims that 0 is a rational number. Is this claim correct?
If a rational number is written as a terminating decimal, can it always be written as a fraction?
If a rational number is written as a/b, and both a and b are divisible by 5, is the fraction in simplest form?
If a/b is a rational number in simplest form and b is even, is a/b necessarily a terminating decimal?
