Question

write the following in decimal form and say what kind of decimal expansion each has:
1. 1910019100
2. 1313
3. 11121112
4. 313313
5. 113113
6. 11140011140

Answer 1

Step-by-step explanation:

Given Write the following numbers in decimal form and the kind of decimal expansion.

1. 19 / 100 = 0.19. It is a terminating expansion.

2. 1/3 = 3) 1 (0.33

                   0

   -------------------------

                   10

                    9

  -----------------------------

                    10

                     9

  ------------------------------------

                     1

Therefore 1/3 = 0.3333

It is a non – terminating and repeating expansion.

3. 11/12 = 0.916666

So it is a non-terminating but recurring expansion.

4. 3/13 = 0.23076923  

So it is a non terminating and repeating expansion.

So 13 ) 3 ( 0.23076923

           0

--------------------------------------

           30

           26

---------------------------

             40

             39

  ---------------------------

                 100

                  91

     ---------------------------

                  90

                  78

    ------------------------------

                  120

                  117

     ------------------------------

                     30

                     26

      -------------------------------

                        40

                        39

            -----------------------

                           1

5. 1/13 = 0.076923076

So 1/13 is a non terminating and repeating expansion.

6. 111 / 400 = 0.2775  

This is a terminating expansion.

Reference link will be

https://brainly.in/question/10695170