which numbers are rational numbers?

- 0
- pi
-6.239654...
-3/5
-2.15

1 answer

Rational numbers are numbers that can be expressed as the ratio of two integers, where the denominator is not zero. Let's evaluate each of the numbers you provided:

  • 0: This is a rational number because it can be expressed as \(0/1\).
  • π (pi): This is not a rational number. It is an irrational number because it cannot be expressed as a fraction of two integers.
  • 6.239654...: This number is a rational number if it terminates or can be represented as a repeating decimal. Since the ellipsis indicates that the number continues, it depends on whether it is a terminating or repeating decimal. If it does not repeat and is simply non-terminating, it is not rational.
  • -3/5: This is a rational number because it is already expressed as a fraction of two integers.
  • -2.15: This is a rational number because it can be expressed as \(-215/100\), which simplifies to \(-43/20\).

So, the rational numbers from your list are:

  • 0
  • -3/5
  • -2.15

6.239654... may or may not be rational depending on whether it is a non-repeating decimal. If it is non-terminating and non-repeating, then it is not rational.

Similar Questions
  1. Drag and drop each of them to the correct locationIrrational numbers Rational numbers 0 π 6.239654... 3/5 2.15
    1. answers icon 1 answer
  2. RationalNumbers Irrational Numbers Drag and drop each to the correct location. (2 points)  0  π  6.239654...  3 5
    1. answers icon 1 answer
  3. The Number System Unit Test15 of 1515 of 15 Items Question Describe the relationship between rational numbers and whole numbers.
    1. answers icon 1 answer
  4. 23. The ___ axis represents the independent variable.X? 21. Name the set(s) of numbers to which 1.68 belongs. a. rational
    1. answers icon 3 answers
more similar questions