Question

Recall that rational numbers are numbers that can be represented as the ratio, or fraction, of two integers. When expressed as decimals, rational numbers either terminate or repeat. For the following rational numbers, use long division to rewrite each fraction as a decimal number. Then, classify each decimal equivalent as terminating or repeating. 5 - 14

Answer 1

Answer: The upper one makes no sense

Answer 2

Answer:

1)  $\frac{5}{-14}$=0.3571428571 2) Terminating

Step-by-step explanation:

1st. To answer this question let's divide with long division algorithm  5 and -14.

  0.3571428571

-14)50

    42

     ---

     80

     -70

      --

    100

      98

      ---

     20

     14

    ----

      60

      -56

       ---

      40

       28

      --

     120

    -112

     ----

       80

       70

       --

      100

       -98

      --  

       2

5 (dividend) : -14 (divisor) $\frac{5}{-14}$

Long division (check below)

With the same two numbers -14 and 5 we can write in a Long Division

 

5) -14

  - 2.8

5) -14

    10

   40

So $\frac{-14}{5}=-2.8$

2nd. Both are terminating ones for they have finite quantities of numbers. -2.8 and 0.3571428571, as we can see that these are rational numbers for they can be written as a/b, and b≠ 0.

$\frac{5}{-14}$ form.

$\frac{-14}{5}$ form.