1971-08-13 — Page 14

華僑日報 All

報日僑等

Therefore, the 8.C.P. » 2 x 3 £.. 22

ANSWER: The required B.C.F. of 36, 48 and 56 50 12

Example A

育教恹華頁三第張四第日三廿月六年多辛磨复 WAH KIN YAT PO

小海泰業同學

暑期進修專欄

出版 社 主編

英文數學

(六)

FACTORS

Since

35

NUMBERST

CHAPTER SEVEN

NUMBERS, H.C.F. & L.C.M

57, 9 8 7 are each called a FACTOR of 35; and 35 s

EDA ALIPLA off and also the MULTIPLE af

(1) EVEN NUMBERS & Zumber of wired 2 Is a zaofer, eig, 2, 1, 6, Any number Rhich is not evens eig. 1, 3, 5, (2) ODD YUMBER: (3) PRIME NUMBER A number is gaid to be prime if it is divisible

only by itself and one.

(1) COMPOSITE MEMBERS A bumber which is not prime is called a

Composite Nunber. It can be written as the produ of two of core Prime Factors,

REFER

五期星 日三十月八年一七九一屉公年十六國民華中

70 and 80

(12)

Find the Largest amber which is a factor of ad ques

SOLUTION: 252 - 2 1 528 - 2 x 3-2-13 ↑ 2008-

ANSWER: The required largest number is

(B) LOWEST COMMON MULTIPLE (L.C.M.) amber whoh ple of two ar chore given aumbere La calJ88. COMMON MULTIPLE of these busters.

The least or lowest number which is a common multipls of two on

61 ven numbers is called tócar LOWEST COMMON MULTIPLE, (L-CAM) Example S

SOLUTION

2x

Therefore, the required I.C.ME ANSWER.

Example 6

The L.C.. of 1824 and 36

urite down In Indax form the L... of 27 x 3 x 5 ; 2′′ x

(12) Which of the following numbers is a common factor

of 105 and 1753 2, 3, 4, 6, 7, 89, 12, 15, 105, (h) Fand the amallest cumber which is a multifun of

each of the numbers 70, 240 and 420.

A) What is the least number of milk which is an eRAD

number of 5 gallons 2 pintaj 2 gallong 5 pintas 3 gallen 4 plate and in gallons.

(b) Fine the amallest common maltis fe m$ 38

which is divisible by 7.

A(17) Find the difference betgem the Land

B.C.F. of 36 and 48.

#(18) which of the following numbers is a common

(17)

at 77 and 1437 3, 5, 6, 7, 21, 13, 33 77, 143 (18) "(19) Which of the following numbers. Le a common factor of 66 and 1873 3, 577. 11, 13, 17, 18, 22. e(20) Find the L.Cl. of the numbers 2 3 4 7.25

28 and 42..

EXERCISE 6

(1),67

$0.80

$9,30

years

10 years (15);

(53.60

(20)

(4) INDEX NOTATION

-(1) 7 a.7 is vollten as 7, called "7 squared" or "the square of (11) 7 x 7 x 7 £9 ritten as 7, called 7 cubed" or "the dure of 7′′

or the 5th power of 7.

called 7 to the power 5°

In the symbol 7. 5 is alled the Indexa

(D). PRIME NUMBERS within 200

179

Examplo 1

47

89.

97

137

139

140

191

197:

ANSWERS The required L.C.Mis ample?

Find the least number such that the

either by 15, or by 25 or by 25 SOLUTION The LC.M. of 15, 25 and ANSWER: The required number is. Example 3

inder 15 4 when it is divided

Find the smallest common multiple of 12 and 14 maith is SOLUTION; 12

ANSHERL

NAME

CLASS

34-2.A

*.7

But 84 is not alvisible by 5. Therefore, the required smalises cension mult

* £a +(84 × 5) -16#.;

The required number 21 420"

EXERCISE Z

DATE

第七章贊戴,最大公約數及最小公倍胶

的体頭数 拉雞雞

(2)安數

(3)

(4)質因數

N

以因邂冷續表示105 求70390之間的質數之和。 3364896ZH.C.F... 诺一陪大的曲,而該敢秀

`252,52又1008各數之因數。

51824362L.C«M****

|例髓以指教方式然! 2×3×ㄗㄨㄚˋ

5.

2 2:x7x1152x11x1321.C

7:求11525354,樂之最小數!

Express 105 in prime factors,

SOLUTION 105-335

ANSWER

Example 2

10585-3

Find the sum of the prime numbers between 70 ́aša, 90 SOLETION: The required sun .71 + 73 + 79+ 23+ 89. ANSVEP The required sum of the prime numbers between 20 and 90

(A) HIGHEST COMMON FACTOR (B.G.F.F

A number which is a factor of two or more given numbers is called COMMON FACTOR of these numbere,

The greatest or highest number which is a common factor of two or mor given numbera is called their HIGHEST COATRICS EACTOR or B.C.F.. Example 3

Find the ... of 35 SOLUTION 362

48 and 98.

23

96

The highest poser of 2 which is a factor of each number is 2

highest power of 3 which is a factor of each timber Te

there is no other operon famÈME

地報 班招 校窿本

點名級考 恋落者

(1) Find the three common factors of 24, 42 kod 282) (2) Find the .C.E. of 36, 48 x 84.

-(3) £≤ 88, 144, and 452 are each divided by the

What is tha Game number, the remainder is 4. greatest possible value of the divisor?

(4) Find the L.C.M. of 15, 25, 75 and 120 (5) Write down in index form the A.C.F. of

(6) Write down in index for the L-Cis. of Question

(7) Find the least number such that the remainder

or by 32:

(S) Divide the Call of 12, 18 aha 20. by cheape

9) Find the sum of the LCM and

and: 120.

(10). Write down the prime number betisco 10-ans 12. (30)

1) Which of the following numbers is a common

96, 108, 149

六五四

可被5盤除之12远14的是小公作所

(1) $24.42282=RAR »

(2)

36.48*8÷H_C_FLO

CB78845452节国某一個所,餘數皆簿,問該數之最大數爲莎? (4)15,28,75/128/L.C.Ma

2

(5)、試用指數方式寫)×3.3. 3.×7 p3.x11x13.各數之

(6) TIRE (5) SUZI.C«M« •*. (7) 1218232M A. FESSIZENS,

(3) 12,187202H CASEL.C.M. » (9)45,90 124.C.FEL.C.M«ZĦIPZ- 007期110第122號的二個質數。

(H):在下列各款中,那一個巷14及70的公倍數:48,72,96,708,14052147 (120703802

(13) 在下列各啟中,那一個105175的公約數 623,4,6,7,8,9,12,15109r (4)第一是小智,使其$70,140夜420之塔類:

(15) 共最小猛之牛奶,使之恰能以完整數目分當每份5加2號,或25品號1加逾4品

(15):可經系之12與18的聽小公倍數。......

·C17)·36489L.C.M.H_C_F_Z#F

(雄)在下列各數中那一個是77及143的公約數13,5,6,7,11.13.08.77.1437 (19)在下列各數中,第一個是66及187的公約數1357,11,13,17,18,227

(20)2,3,4,7,16,28422L.C.M.».

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考試日期:雙名降遹知

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