Describe the relationship between rational numbers and whole numbers. Are all rational numbers also whole numbers? Are all whole numbers also rational numbers? Give examples to support your answer.(4 points) Write it shortly plz

5 answers

Rational numbers are numbers that can be expressed as the quotient of two integers (a/b, where b ≠ 0). Whole numbers are a subset of rational numbers that include 0 and all positive integers (0, 1, 2, 3, ...).

Not all rational numbers are whole numbers; for example, \( \frac{1}{2} \) and \( -3 \) are rational but not whole numbers.

However, all whole numbers are rational numbers because each whole number can be expressed as a fraction with a denominator of 1 (e.g., 3 can be written as \( \frac{3}{1} \)).

In summary:

  • Not all rational numbers are whole numbers (e.g., \( \frac{1}{2}, -3 \)).
  • All whole numbers are rational numbers (e.g., 0 as \( \frac{0}{1}, 5 \) as \( \frac{5}{1} \)).
Paragraph form, short, and simple plz

Rational numbers are numbers that can be expressed as a fraction of two integers, while whole numbers are a specific group of rational numbers that include 0 and all positive integers. Not all rational numbers are whole numbers; for example, \( \frac{1}{2} \) and \(-3\) are rational but not whole. However, all whole numbers are rational because they can be written as fractions with a denominator of 1, such as 3 being \( \frac{3}{1} \). In summary, while whole numbers are a subset of rational numbers, not every rational number is a whole number.

Write the fraction examples as fractions, using numbers, and a slash (/) only.

Rational numbers are numbers that can be expressed as a fraction of two integers, while whole numbers are a specific group of rational numbers that include 0 and all positive integers. Not all rational numbers are whole numbers; for example, 1/2 and -3 are rational but not whole. However, all whole numbers are rational because they can be written as fractions with a denominator of 1, such as 3 being represented as 3/1. In summary, while whole numbers are a subset of rational numbers, not every rational number is a whole number.