How do you divide rational numbers in decimal form?
Answers
Answer:
By example: This is one method of many.
Explanation:
Just picking values at random, suppose we had:
2.35
2.65
Making the numbers more straight forward
Multiply by 1 and you do not change the value. However, 1 comes in many forms.
[
2.35
2.65
×
1
]
ddd
→
ddd
[
2.35
2.65
×
100
100
]
dddddddddddd
→
ddddddd
235
265
=
47
53
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Conducting the division
What follows is one method of many.
Note that
47
is the same as
470
×
1
10
I will use this adjustment approach to make division itself more straight forward. We will need to apply the appropriate adjustment at the end.
So for
47
÷
53
we have
470
÷
53
×
1
10
ddddddd
470
×
1
10
8
(
53
)
→
424
←
Subtract
−−−−−−−−−−−−−−−
dddddddd
46
←
less than 53 so we adjust again
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
ddddddd
460
×
1
10
8
(
53
)
→
424
←
Subtract
−−−−−−−−−−−−−−−
dddddddd
36
←
less than 53 so we adjust again
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
ddddddd
360
×
1
10
6
(
53
)
→
318
←
Subtract
−−−−−−−−−−−−−−−
dddddddd
42
←
less than 53 so we adjust again
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
AND SO THE CYCLE CONTINUES:
So far we have:
886
×
1
10
×
1
10
×
1
10
=
0.886
The full printout from my calculator is: 0.88679245283
hope it helps you dear