No
25
- Sometimes whether you
add or whether you multiply makes no difference.
- Familiar examples are:
2 x 2 = 2 + 2 and 0 x 0 = 0 + 0.
- However the following
may not be so familiar:
|
11/2
|
x
|
3
|
=
|
11/2
|
+
|
3
|
=
|
41/2
|
|
11/3
|
x
|
4
|
=
|
11/3
|
+
|
4
|
=
|
51/3
|
|
11/4
|
x
|
5
|
=
|
11/4
|
+
|
5
|
=
|
61/4
|
What are the next few
examples? Check them.
- Can you generalise
using algebra and prove your generalisation?
- It is also possible
for multiplication and subtraction to be swapped:
|
1
|
x
|
1/2
|
=
|
1
|
-
|
1/2
|
=
|
1/2
|
|
2
|
x
|
2/3
|
=
|
2
|
-
|
2/3
|
=
|
11/3
|
|
3
|
x
|
3/4
|
=
|
3
|
-
|
3/4
|
=
|
21/4
|
Check the next few
examples.
- Again try to
generalise using algebra and prove your generalisation.
- Can you discover
examples swapping division and addition?
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