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第二張四第日十初月七年亥辛服夏 WAH KIU YAT PO
一期星日十三月八年一七九一屆公羊十六國旗
育教僑費
他踏政所。從英文
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數學 (十二)
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Elementary Modern Mathematics
Lesson 12
Laws of division.
Numbers
We have seen in the previous lessons
that division is the opposite operation of
multiplication. Does this means that the
laws hold for multiplication still holds for
division ? Let's see.
From the examples
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0.25
10
we can see that the commutative law
does not hold for division.
Does the associative law hold
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your teacher, who else was
with you?
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He was saved from the
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of sinking
during the atorm.
英文
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Again, we see that the associative law does not hold for division.
The Dietributive Law
Other than the commutative law and the associative laws, there is another very useful law in mathematical operation. This is the distributive law,
The distributive law states that for any number a, b and
• ) = (a x
312
The above step only breaks the number 24 up into (20+ 4 )
13
13
260
52
312
13 x ( 20
=(13 X 20)
13 2 4 小
at another example
25 x 110 = 2750
Distributing
25 x 93
2750
25 over
93 and 17
2325
425
2750
25
Sum:
Once again..
this law holds, There is one. important point to be noticed when using the distributive law. In the above case . the
"Multiplicatio Operation is called: distributed over aldition ir-
. How about. Addi tion distributed over adlition " Is this law also true ?攣
For any number a,b,and that
diacuse it in the
Lesson
ENGLISH
·LESSON SIX
Most animals can swim right off the first time they go into the water. But men have to Learn. Someone who knows how to swim has to teach us. Every girl and boy should learn to awim. Swimming is a valuable sport, because a person who can swim is able to save hime
self, as well as other people, from drown- ing. We never know when we may be in danger from the water. Swimming is also a very good form of exercise. In swimming all the muscles of the body are used. Besides, it does not cost you any money. Swimming glyge great pleasure too. How nice it is to have a swim on a hot summer day? If you are a good swim- mer you can amuse yourself by diving,
g" Diving is very amusing as well as very useful. If a valueble article of youre de dropped into. the water by accident, you can get it baok. Knowing how to swim may one day save one's life. Your ebip may be wrecked on a voyage. The pleasure-boat you are in may.
may slip off the bank into a met. You
If you cannot swim, you may be drowned.It is easy to understand why swimming is so useful. There are many advantages in swimming. That is why everybody should learn to awim. COMPREHENSION
Exercise l
Answer the following questions and your answer must be based on the passage!
1. Can men swim right off the first time they
go into water?
Why is swimming a valuable sport? Does swimming cost you any money?
Why La awimming a good exeroisa? Why La diving very useful?
6. How does swiming give great pleasure ? VOCABULARY
Exercise 2.
advantages
drowning
valuable
wrecked.
danger besides muscles upset
The above words are taken from the passage Fill in each apace with one of them:
1. His excellent education gives him
on his new job.
2. All the passengers were saved from
when the ferry sank,
The ship was
She has a
in the typhoon. diamond ring.
throwing the heavy weight.
IDIOMS
1. in a hurry (hurried, in a rush)
John is in a hurry to catch the train
2. leave out (to omit)
You have left out her name in the list. count on (to depend upon)
We count on you to help us with this. make friends (to win or gain friends) During the trip Tom made friends with
everyone on the boat,
out of order(not in worting condition) The elevator was out of order. and we had. to walk to the tenth floor.
at times (sometimas, occasionally) At times he does much better work.
7. look over (to examine).
I want to look over these
I give them to the teacher,
Laes before
have time off (to have frte tine)
I expect to have the whole summer Exercise 3
Replace the underlined words by an idiom.
1. She is the kind of person who always soems
to be in a rush
Why did you omit the second your examination?
question on
3. We could not use the telephone because it
was not in working condition.. Occasionally she feels a little better but then she becomes very weak again.
He aigned the contract without.avcn.
examining it.
Don't devens on Frank to lend you any
money because he has none MODEL ANSWER (LESSON FIVE) Exercise I
1. He was seventy years old,
2. It was rounded from years of working.
3. Because they were larger than any melons
he had ever grown.
He decided to Bell them in the markot.
5. All his melons, were disappeared :
the market.
He decided to go to a vegetable etanu
7. They stopped before a
The owner of the stand:
A large number of melon stems,
10.Yes, he could.
Exercise 2
1.disappeared 2.decided 3.arrested
excellent 5.exactly 6, correspond
Exercise 3
1.look out 2. do you think of 3.made up your mind 4.for the time being 5.call off 6. get over
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