3divided by98

Question

how do i work it out

Answer 1

3:98=   (the 98 does not fit into the 3. We describe it as 0)

3:98=0   (since we can't calculate in the area of whole numbers, we go into the decimal places by adding a "point/dot".)

3:98=0.   (now we enlarge the 3 with zero and get 30:98=0.)

3:98=0.   (30 still isn't large enough to contain 98. We mark this fact with another 0)

3:98=0.0   (and at the same time we we add the 0 on the left side of the "=" and get a number large enough to perform the task 300:98=3)

3:98=0.03   (3*98=294; now we subtract 300-294=6 and give it an additional 0 for the next decimal place 60:98=)

3:98=0.030   (since 98 does not fit into 60 we mark this fact with a 0 on the right side of "=". At the same time we add the 0 to the left side of "=". We get 600:98=6)

3:98=0.0306  (the decimal places can be calculated endlessly; 6*98=588; subtract 600-588=12, add 0 to both sides 120:98=1)

3:98=0.03061   (1*98=98; 120-98=22; 220:98=2;)

3:98=0.030612   (2*98=196; 220-196=24; add 0 for the next decimal place 240:98=2)

3:98=0.0306122   (2*98=196; 240-196=44; add 0 for the next decimal place 440:98=4)

3:98=0.03061224   (4*98=392; 440-392=48; add 0 for the next decimal place 480:98=4)

3:98=0.031 (rounded)

 

 

Answer 2

Since 98 is bigger than 3, we are going to end up with a decimal.  I am not sure how many digits your teacher wants you to find, but I am going to go to 4 decimal places.

Begin by examining how many times 98 goes into 3.  Since 98 is bigger than 3, the answer is 0

        0.
98 ⁄‾3.0000
      -0
       3

Now, bring down the next digit (0).  Since 98 is bigger than 30, the answer is still 0.

        0.0
98 ⁄‾3.0000
      -0
       30
      - 0
       30

Again, we will bring down the next digit (0).  Since 98 will go into 300 three times, we will put a in the answer.

Continuing the pattern, we get an answer (to 4 decimal places) of:

        0.0306
98 ⁄‾3.0000
      -0
       30
      - 0
       300
      -294
          60
          -0
          600
        - 588
            12

You can continue for as many digits as you are trying to find.