I tell you these facts about a mystery number, $c$:

$\bullet$ $1.5 < c < 2$

$\bullet$ $c$ can be written as a fraction with one digit for the numerator and one digit for the denominator.

$\bullet$ Both $c$ and $1/c$ can be written as finite (non-repeating) decimals.

What is this mystery number?

Respuesta :

The mystery number, represented by the expression 1.5 < c < 2 is 1.6

  • The fraction can be written as one digit for the numerator and one digit for the denominator.

1.6 = 16/10 = 8/5

1.7 = 17/10

1.8 = 18/10 = 9/5

1.9 = 19/10

  • The Both c and 1/c can be written as finite (non-repeating) decimals.

1÷8/5

= 1 × 5/8

= 5/8

= 0.625

1 ÷ 17/10

= 10/17

= 0.58823529411764

1 ÷ 9/5

= 5/9

= 0.55555555555555

1÷19/10

= 10/19

= 0.52631578947368

Learn more about decimals:

https://brainly.com/question/11406179