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 )?
If x = \frac{2}{3} and y = \frac{5}{4} , find x \times y .
If x = \frac{4}{9} and y = -\frac{2}{3} , find x + y .
Simplify: \frac{2}{5} - \frac{3}{10} + \frac{1}{2}
Simplify: \frac{3}{4} + \frac{5}{6}
Subtract \frac{7}{9} from \frac{5}{6} .
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 x = \frac{2}{5} and y = \frac{3}{7} , compute \frac{x + y}{x - y} and express your answer in simplest form.
If x = \frac{3}{7} and y = -\frac{5}{14} , calculate \frac{x}{y} and express your answer in simplest form.
If x = \frac{a}{b} and y = \frac{c}{d} are rational numbers, show that x^2 + y^2 is also a rational number.
Let r and s be two rational numbers such that r + s = 1 and r \times s = \frac{1}{6} . Find the values of r and s .
Prove that the sum of a nonzero rational number and its reciprocal is rational.
