The 14

th

ASIAN TECHNOLOGY

CONFERENCE IN MATHEMATICS,

BEIJING, CHINA 2009

BEIJING NORMAL UNIVERSITY

December 17-21, 2009

THE MINH TRAN

HCMC UNIVERSITY OF TECHNOLOGY

VIETNAM

TITLE : USING SCIENTIFIC

CALCULATORS TO SOLVE

MATHEMATICAL PROBLEMS

Authors : THE MINH TRAN

DEPARTMENT OF APPLIED MATHEMATICS

HCMC UNIVERSITY OF TECHNOLOGY (HCMUT)

VIETNAM

Introduction

•

Using a calculator is an important skill for

students. As they grow and progress through

their education.

•

They will learn advanced math skills that

certainly require them to use a calculator .

•

A few quick steps can help anyone use the

device and solve mathematical problems .

•

I have organized exams : “Excellent students use

scientific calculators to solve mathematical

problems ”

Therefore, I have built math-calculator subject

and technology in mathematics

WE CAN USE SCIENTIFIC

CALCULATORS :

1.VIETNAM CALCULATOR

VN- 570RS

3.CASIO FX-570MS

4.CASIO FX-570ES2.TEXAS INSTRUMENTS

83 Plus

A. ARITHMETIC

•

We calculate : 3281978 × 8791803

•

We input 3281978 × 8791803 on the screen

•

Press the = key. Answer : 2.885450403

•

We know that answer have 14 digits but the digit 3 can

have rounded

•

We delete the digit 3 at the first number and the digit 8 at

the second number then we multiply two numbers together

•

Press the = key. Answer : 2.232710263

We continue to delete the digit 2 at the first number and the

digit 7 at the second number then we multiply 81978 and

91803 to get 7525826334

•

Result : 3281978 × 8791803 = 28854504026334

Note : when you multiply two numbers, you need to

thoroughly check digits

13

10

×

1.Multiply two numbers

11

10×

2. Find x, know that :

•

We input 381978 ÷ 382007 on the screen

•

Press the = key. Answer : 0.999924085

•

We continue to press : × 3 - 8 then we press 9 times the

= key. The final result have saved to the Ans key

•

Now,we have then we press : Ans - 1 =

Result : x = - 1.11963298

3

8

3

8

3

8

3

8

3

8

3

8

3

8

3

8

3

8

1

1

x

381978

382007

1

−

x

x

Ans

+

=

1

1

1−

x

3. Find a natural number n , know that the

number contains the first four digits and the

end four digits are digit 1

Step 1 : Find the number contains the end four digits are digit 1.

Solution :

The number contains the end digit is digit 1

The number contains the end two digits are digit 1

The number contains the end three digits are digit 1

The number contains the end four digits are digit 1

Answer : the number contains the end four digits are

digit 1

n1 = 8471

3

n

3

1

3

71

3

471

3

8471

3

8471

Step 2 : Find the number contains the first four

digits are digit 1.

Solution :

We have ( we get the number 223 )

We try ( answer contains two digit

are digit 1 ) . we do not choose the number 223

The number contains the first two digit are digit 1

We have ( we get the number 480 )

We try ( answer contains four digits

are digit 1 )

We choose the number 480 . Answer : n2 = 480

If we do not find n2, we can calculate

to find n2

Result : n = 4808471 and

193

10...1216.12238471 ×=

7.480111101111

3

=

203

10...11178.14808471

=

...11111000111;1111001111

33

14.22311111111

3

=

3

22308471

3

4808471 1111. . .1111

=

4. Find natural number x,y, know that :

( and y include a digit)

Solution : we guess : x is digit 2 or 3

● When x = 2 : (we do not choose x = 2 )

● We choose the digit 3 , we have :

( )

2

2 2

5 541 1 ( )4481448( )

x

y y y x x y=

2

x

4 4

(5 ) 59 12117361y

≤ =

9 9

9

5410109448144809 5 541 1 94481448 9 5419199448144899y y y y

≤ = ≤

55,99303467 5 56, 00348007 6y y

⇔ ≤ ≤ ⇒ =

Result : x = 3 , y = 6 and 5416169448144896

Furthermore , we can find y by the SOLVE key.We input

( )

9

13 12 11 10 9 2

50 541 10 10 1 10 10 9 10 4481448 10 90y y y y

+ = × + × + × + × + × × × + +

on the screen. We press SHIFT SOLVE key and press 1 key

6y

⇒ =

9

56 =

th

ASIAN TECHNOLOGY

CONFERENCE IN MATHEMATICS,

BEIJING, CHINA 2009

BEIJING NORMAL UNIVERSITY

December 17-21, 2009

THE MINH TRAN

HCMC UNIVERSITY OF TECHNOLOGY

VIETNAM

TITLE : USING SCIENTIFIC

CALCULATORS TO SOLVE

MATHEMATICAL PROBLEMS

Authors : THE MINH TRAN

DEPARTMENT OF APPLIED MATHEMATICS

HCMC UNIVERSITY OF TECHNOLOGY (HCMUT)

VIETNAM

Introduction

•

Using a calculator is an important skill for

students. As they grow and progress through

their education.

•

They will learn advanced math skills that

certainly require them to use a calculator .

•

A few quick steps can help anyone use the

device and solve mathematical problems .

•

I have organized exams : “Excellent students use

scientific calculators to solve mathematical

problems ”

Therefore, I have built math-calculator subject

and technology in mathematics

WE CAN USE SCIENTIFIC

CALCULATORS :

1.VIETNAM CALCULATOR

VN- 570RS

3.CASIO FX-570MS

4.CASIO FX-570ES2.TEXAS INSTRUMENTS

83 Plus

A. ARITHMETIC

•

We calculate : 3281978 × 8791803

•

We input 3281978 × 8791803 on the screen

•

Press the = key. Answer : 2.885450403

•

We know that answer have 14 digits but the digit 3 can

have rounded

•

We delete the digit 3 at the first number and the digit 8 at

the second number then we multiply two numbers together

•

Press the = key. Answer : 2.232710263

We continue to delete the digit 2 at the first number and the

digit 7 at the second number then we multiply 81978 and

91803 to get 7525826334

•

Result : 3281978 × 8791803 = 28854504026334

Note : when you multiply two numbers, you need to

thoroughly check digits

13

10

×

1.Multiply two numbers

11

10×

2. Find x, know that :

•

We input 381978 ÷ 382007 on the screen

•

Press the = key. Answer : 0.999924085

•

We continue to press : × 3 - 8 then we press 9 times the

= key. The final result have saved to the Ans key

•

Now,we have then we press : Ans - 1 =

Result : x = - 1.11963298

3

8

3

8

3

8

3

8

3

8

3

8

3

8

3

8

3

8

1

1

x

381978

382007

1

−

x

x

Ans

+

=

1

1

1−

x

3. Find a natural number n , know that the

number contains the first four digits and the

end four digits are digit 1

Step 1 : Find the number contains the end four digits are digit 1.

Solution :

The number contains the end digit is digit 1

The number contains the end two digits are digit 1

The number contains the end three digits are digit 1

The number contains the end four digits are digit 1

Answer : the number contains the end four digits are

digit 1

n1 = 8471

3

n

3

1

3

71

3

471

3

8471

3

8471

Step 2 : Find the number contains the first four

digits are digit 1.

Solution :

We have ( we get the number 223 )

We try ( answer contains two digit

are digit 1 ) . we do not choose the number 223

The number contains the first two digit are digit 1

We have ( we get the number 480 )

We try ( answer contains four digits

are digit 1 )

We choose the number 480 . Answer : n2 = 480

If we do not find n2, we can calculate

to find n2

Result : n = 4808471 and

193

10...1216.12238471 ×=

7.480111101111

3

=

203

10...11178.14808471

=

...11111000111;1111001111

33

14.22311111111

3

=

3

22308471

3

4808471 1111. . .1111

=

4. Find natural number x,y, know that :

( and y include a digit)

Solution : we guess : x is digit 2 or 3

● When x = 2 : (we do not choose x = 2 )

● We choose the digit 3 , we have :

( )

2

2 2

5 541 1 ( )4481448( )

x

y y y x x y=

2

x

4 4

(5 ) 59 12117361y

≤ =

9 9

9

5410109448144809 5 541 1 94481448 9 5419199448144899y y y y

≤ = ≤

55,99303467 5 56, 00348007 6y y

⇔ ≤ ≤ ⇒ =

Result : x = 3 , y = 6 and 5416169448144896

Furthermore , we can find y by the SOLVE key.We input

( )

9

13 12 11 10 9 2

50 541 10 10 1 10 10 9 10 4481448 10 90y y y y

+ = × + × + × + × + × × × + +

on the screen. We press SHIFT SOLVE key and press 1 key

6y

⇒ =

9

56 =

## BÀI BÁO CÁO KHOA HỌC TẠI BẮC KINH ATCM 2009 THE SCIENTIFIC REPORT IN BEIJING - CHINA

## Bài soạn BÀI BÁO CÁO KHOA HỌC TẠI BẮC KINH 2009- THESCIENTIFICREPORTATCM 2009

## TÀI LIỆU VỀ PHƯƠNG PHÁP THỰC HIỆN BÀI BÁO CÁO KHOA HỌC (SEMINAR) - TIỂU LUẬN KHOA HỌC

## Tài liệu Báo cáo khoa học: A systems biology approach for the analysis of carbohydrate dynamics during acclimation to low temperature in Arabidopsis thaliana doc

## Tài liệu Báo cáo khoa học: Proteomic analysis of dopamine and a-synuclein interplay in a cellular model of Parkinson’s disease pathogenesis docx

## Tài liệu Báo cáo khoa học: Structural and functional studies of the human phosphoribosyltransferase domain containing protein 1 docx

## Tài liệu Báo cáo khoa học: A strategy for discovery of cancer glyco-biomarkers in serum using newly developed technologies for glycoproteomics ppt

## Tài liệu Báo cáo khoa học: Synchronization of Ca2+ oscillations: involvement of ATP release in astrocytes pdf

## Tài liệu Báo cáo khoa học: Identiﬁcation and characterization of the transcription factors involved in T-cell development, t-bet, stat6 and foxp3, within the zebraﬁsh, Danio rerio docx

## Tài liệu Báo cáo khoa học: Accessibility changes within diphtheria toxin T domain when in the functional molten globule state, as determined using hydrogen⁄deuterium exchange measurements pdf

Tài liệu liên quan