Question

Tanya enters 5 9 into her calculator and the display shows: 0.55555556 Choose all the true statements about this situation: A) 5 9 is rational because its decimal form terminates. B) 5 9 is rational because its decimal form repeats. C) 5 9 is rational because 5 and 9 are integers. D) 5 9 is irrational because its decimal form is non-terminating. E) 5 9 is irrational because its decimal form is non-repeating.

Answer 1

The decimal form of 5/9 is a repeating pattern, indicating that it is a rational number. However, 5/9 is also an irrational number because its decimal form does not terminate or repeat.

Step-by-step explanation:

The correct statements about this situation are B) 5/9 is rational because its decimal form repeats and E) 5/9 is irrational because its decimal form is non-repeating.

When Tanya enters 5/9 into her calculator, the decimal form displayed is 0.55555556. This decimal form repeats its pattern of digits, indicating that it is a rational number.

However, 5/9 is also an irrational number because its decimal form does not terminate or repeat. The decimal representation of 5/9 goes on indefinitely without settling into a repeating pattern.