1) Which of the following best defines a rational number? a) A number that can be written as the square root of any integer. b) A number that can be expressed as a fraction $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0. c) A number that has a decimal expansion that never ends and never repeats. d) Any number that is found on a ruler. 2) Why is the integer 7 considered a rational number? a) Because it is a prime number. b) Because it can be written in the form $\frac{7}{1}$. c) Because it is a positive whole number. d) Because it can be measured using an abacus. 3) Which of these decimal numbers is NOT a rational number? a) 0.5 (Terminating decimal) b) 0.333... (Repeating decimal) c) $3.14159...$ ($\pi$, non-terminating and non-repeating) d) $1.25$ (Terminating decimal) 4) In the "Evolution of Mathematical Technology," which milestone significantly improved the way we write and calculate rational numbers? a) The use of tally sticks for prehistoric counting. b) The invention of the mechanical calculator. c) The development of Hindu-Arabic Numerals and the concept of Zero. d) The creation of the first electromechanical computer. 5) Which of the following is a true statement about the relationship between sets of numbers? a) All rational numbers are integers. b) All integers are rational numbers. c) Irrational numbers are a sub-set of rational numbers. d) Whole numbers are not considered rational. 6) If you were using Python code to check if a number is rational, which characteristic would be the most reliable indicator? a) The number is very large. b) The number can be converted into an exact fraction of two integers. c) The number is the result of a square root. d) The number is used in AI and machine learning.

rational numbers

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