Title: Division
1Division
If you still remember, division is the reverse of
multiplication. Instead of adding fish to the
ocean, we have to take some away.
For example, 6 2 is the number of times we can
take away 2 from 6 until there is nothing left.
26 2
In the beginning, there are 6 single blue fish in
the ocean, if we take away two blue fish at a
time, how many times do we have to do this to get
balance? (balance means the same number of blue
and red fish.)
Click to see animation.
36 2
In the beginning, there are 6 single blue fish in
the ocean, if we take away two blue fish at a
time, how many times do we have to do this to get
balance? (balance means the same number of blue
and red fish.)
46 2
In the beginning, there are 6 single blue fish in
the ocean, if we take away two blue fish at a
time, how many times do we have to do this to get
balance? (balance means the same number of blue
and red fish.)
56 2
In the beginning, there are 6 single blue fish in
the ocean, if we take away two blue fish at a
time, how many times do we have to do this to get
balance? (balance means the same number of blue
and red fish.)
66 2
In the beginning, there are 6 single blue fish in
the ocean, if we take away two blue fish at a
time, how many times do we have to do this to get
balance? (balance means the same number of blue
and red fish.)
76 2
In the beginning, there are 6 single blue fish in
the ocean, if we take away two blue fish at a
time, how many times do we have to do this to get
balance? (balance means the same number of blue
and red fish.)
86 2
In the beginning, there are 6 single blue fish in
the ocean, if we take away two blue fish at a
time, how many times do we have to do this to get
balance? (balance means the same number of blue
and red fish.)
96 2
In the beginning, there are 6 single blue fish in
the ocean, if we take away two blue fish at a
time, how many times do we have to do this to get
balance? (balance means the same number of blue
and red fish.)
Now we have balance again and youshould remember
that we have done this3 times. Therefore 6 2
3
10 Conclusion Positive Positive
Positive
Exercises What is 15 3?
Ans 5
What is 42 6?
Ans 7
What is 96 12?
Ans 8
11(-6) (-2)
Do you remember what fish represent negative
number?
Of course, they are red fish.
In the beginning, there are 6 extra red fish
swimming in the ocean.
12(-6) (-2)
If we take away 2 red fish (red because we have
-2 instead of 2) at a time, how many times do we
need to do this to restore balance?
Click to see animation
13(-6) (-2)
If we take away 2 red fish (red because we have
-2 instead of 2) at a time, how many times do we
need to do this to restore balance?
14(-6) (-2)
If we take away 2 red fish (red because we have
-2 instead of 2) at a time, how many times do we
need to do this to restore balance?
15(-6) (-2)
If we take away 2 red fish (red because we have
-2 instead of 2) at a time, how many times do we
need to do this to restore balance?
Now the ocean is balance again after removing 2
red fish 3 times, therefore(-6) (-2) should be
3.
16 Conclusion Negative Negative
Positive
Exercises What is (-15) (-3)?
Ans 5
What is (-42) (-6)?
Ans 7
What is (-96) (-12)?
Ans 8
17How about (-6) 3 ?
In the beginning, there are 6 red fish in the
ocean who do not have partners.
18How about (-6) 3 ?
Can we take away 3 blue fish at a time to restore
balance? (Click to see what will happen.)
19How about (-6) 3 ?
Can we take away 3 blue fish at a time to restore
balance?
20How about (-6) 3 ?
Can we take away 3 blue fish at a time to restore
balance?
21How about (-6) 3 ?
Now we have even more single red fish! It looks
like we can never restore balance by taking away
blue fish.
22How about (-6) 3 ?
Lets bring back those blue fish and start over
again. (Please click)
23How about (-6) 3 ?
- To restore balance, we have to either
- take away red fish instead of blue fish or
- add blue fish instead of taking away.
Click to go on
24How about (-6) 3 ?
Option 1 take 3 red fish away twice (click)
25How about (-6) 3 ?
Option 1 take 3 red fish away twice
26How about (-6) 3 ?
Option 1 take 3 red fish away twice
27How about (-6) 3 ?
Option 1 take 3 red fish away twice
28How about (-6) 3 ?
Option 1 take 3 red fish away twice
29How about (-6) 3 ?
Option 1 take 3 red fish away twice
Now the ocean is balanced again.
(Click to see option 2)
30How about (-6) 3 ?
Option 2 add 3 blue fish twice. (click)
31How about (-6) 3 ?
Option 2 add 3 blue fish twice.
32How about (-6) 3 ?
Option 2 add 3 blue fish twice.
Now the ocean is balanced again.
33How about (-6) 3 ?
In either case, we have to reverse the action and
carry out the process twice, therefore (-6) 3
-2 with the negative sign in front to indicate
a reverse in action.
34 Conclusion Negative Positive
Negative
Exercises What is (-15) 3?
Ans -5
What is (-42) 6?
Ans -7
What is (-96) 12?
Ans -8
35What is 6 ( -2 ) ?
Can you do this one yourself? Try it first and if
you are still not sure about the answer, click
to see the next frame.
36What is 6 ( -2 ) ?
Yes, you got it right! The answer is -3. The
reason is, we have to reverse action 3 times in
order to restore balance.
(Dont forget to see the conclusion!)
37 Conclusion Positive Negative
Negative
Exercises What is 15 (-3)?
Ans -5
What is 42 (-6)?
Ans -7
What is 96 (-12)?
Ans -8
- The End -