英語表現                                                             By Tohei Moritani 森谷東平

 

A.     Reading numbers and equations in English

 

1

 

103   106   109   1012   104

103        106    109    1012      104

thousand  million  billion  trillion    ten thousand

2

Decimal 

3.45 

three point four five

3

Fraction

               

 a half, one half   a third, one third   two thirds   three tenths   one and a half     three fourths

 

4

Addition

12 + 5 = 17

Twelve plus five equals seventeen. 

Twelve plus five makes seventeen

The sum (total) of 12 and 5 is 17.

5

Subtraction

12 – 5 = 7

12 minus 5 equals (is) 7. 

Subtract 5 from 12, the answer is (yields) 7.

6

 

98 – 7 + 2 = ? 

Subtract 7 from 98 and add 2, what is the result?

7

Multiplication

20 x 3 = 60

Twenty multiplied by 3 equals 60. 

Twenty times 3 is 60.

Multiply 20 by 3 to get 60.

8

Division

 

20 divided by 2 equals (is, makes) 10. 

Half of 20 is 10.

9

 

   

21 divided by 3 gives 7.

One-third of 21 is 7.

10

 

   

  two fold, two times, two x, power of two, double   

  ten-fold, ten times, power of ten

11

Root

        

                        

square root of    cube root of    n-th root of

12

Exponent

     

                  

 squared     cubed     to the fourth

                            x (raised) to the fourth (power)                              

13

 

     

 

                   

 to the minus two (power)     to the one-third (power)               

14

 

ten to the zero power       ten to the -th (power) 

15

Rounding

Twenty divided by two point two is nine point 0 nine; it is nine point one when rounding (off).

16

Equations

   

k times  sub  equals the integral of  dm.

 

á       We increased output by a factor of five.

á       If the mass of a weight is doubled in a simple spring, by what factor does the period change?

á       By what factor does the kinetic energy of a car change when its speed is tripled?

á        

á       This rope is three times longer than that one.  =  This rope is three times as long as that one.

á       How many times heavier is an elephant than a mouse?

 


 

B. Common Prefixes

Power

Prefix

Abbreviation

 

Power

Prefix

Abbreviation

 

 

 

 

10-2

centi

c

103

kilo

k

 

10-3

mili

m

106

mega

M

 

10-6

micro

109

giga

G

 

10-9

nano

n

1012

tera

T

 

10-12

pico

p

1015

peta

P

 

10-15

femto

f

 

C. Geometrical figures

 

 

Description: Macintosh HD:Users:tmoritani:Documents:*B_Physics:G_Figures:1_Basic lIllustration:000_Diagrams-B.tif

 

 

 


 

D. Tables

Description: Macintosh HD:Users:tohei:Desktop:1-3_Tableのコピー.jpg

E. Graphs

Description: Macintosh HD:Users:tmoritani:Documents:*B_Physics:G_Figures:1_Basic lIllustration:000_Graph-Explanation-b.tif