Question

a student says that all decimals are irrational numbers. do you agree or disagree? explain your reasoning and give one example. question 6 i can define and give numerical examples of natural numbers, whole numbers, integers, and rational numbers. i can classify sets of numbers, including rational and irrational numbers.

Explanation:

Answer:

Disagree. Not all decimals are irrational. Terminating decimals (e.g., 0.5) and repeating decimals (e.g., 0.333...) are rational. Only non - terminating, non - repeating decimals (e.g., \( \pi\approx3.1415926535\cdots \)) are irrational. Natural numbers: positive whole numbers starting from 1, e.g., 1, 2, 3. Whole numbers: non - negative integers, e.g., 0, 1, 2. Integers: positive and negative whole numbers and 0, e.g., - 2, - 1, 0, 1, 2. Rational numbers: numbers that can be written as a fraction \(\frac{a}{b}\) where \(a,b\) are integers and \(b
eq0\), e.g., \(\frac{1}{2}\), 0.75 (since \(0.75=\frac{3}{4}\)).