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 11
Divide \( \frac{7}{8} \) by \( \frac{2}{5} \).
Explain why the product of two rational numbers is always rational.
Express 0.333... as a fraction in simplest form.
Express -0.6 as a rational number in simplest form.
Express 2.125 as a rational number in simplest form.
If \( \frac{a}{b} \) and \( \frac{c}{d} \) are rational numbers, what is the result of their division (assuming \( c \neq 0 \))?
A student claims that 0.142857142857... is a rational number. Is the student correct?
Given the context: A rational number is defined as any number that can be expressed as \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \). Explain why the decimal 0.123456789101112... (where the digits are written in order) is not a rational number.
If \( \frac{5}{x} \) is a rational number and x is an integer, which of the following values of x will NOT make \( \frac{5}{x} \) rational?
(1) 1
(2) 2
(3) 0
(4) -5
Which of the following decimal numbers is rational?
(1) 0.101001000100001...
(2) 0.25
(3) π
(4) √3
Which of the following is a property of rational numbers?
(1) Closure under addition
(2) Closure under multiplication
(3) Existence of additive inverses
(4) All of the above
Which of the following is NOT a rational number?
(1) 7/8
(2) 0.121212...
(3) 2.5
(4) √5
A rational number can always be written as a fraction where the denominator is not _______.
Fill in the blank: The additive inverse of \( \frac{a}{b} \) is _______.
Fill in the blank: The product of two nonzero rational numbers is always _______.
Fill in the blank: The reciprocal of a nonzero rational number \( \frac{a}{b} \) is _______.
A student claims that 0.142857142857... is a rational number. Is the student correct?
True or False: Every integer is a rational number.
True or False: The decimal expansion of every rational number either terminates or repeats.
True or False: The set of rational numbers is closed under subtraction.
