Lekcja 2 A. Mathematical Symbols

Transcription

1 Mathematical Symbols Symbol How to read it + plus, and - minus, subtract, take away (is) divided by /dɪˈvʌɪdɪd/ (is) multiplied by, times /ˈmʌltɪplʌɪd/ a = b a equals b /ˈiːkw(ə)lz/ a is equal to b e.g. +3=8 equation /ɪˈkweɪʒ(ə)n/ a b a is approximately equal to b /əˈprɒksɪmətli/ P Q P implies Q /ɪmˈplʌɪz/ P Q P is implied by Q P Q P is equivalent to Q or P if and only if Q a B a is an element of B A B A union B A B A intersection B A B A is a subset of B or A is contained in B squared cubed to the power 5 or to the fifth power / to the fifth n the square root of (a number) n the cube root of (a number) /kjuːb/ /ruːt/ 4! 4 factorial /fakˈtɔːrɪəl/ > is more than, is greater than is less than or equal to infinity º degree function of x or f of x dy differential of y /ˌdɪfəˈrɛnʃ(ə)l/ the (definite) integral of the function f of over from a to b nnnnnnnnnnnnnnnn /ˈɪntɪgr(ə)l/ f (x) = 2 x the derivative of f(x) equals 2 x the logarithm of 1000 to base 10 is 3 or log 10(1000) = 3 the base-10 log of 1000 is 3 or log base 10 of 1000 is 3 /ˈlɒgərɪθ (ə)m/ /ˈlɒg/ sin x sine x /sʌɪn/ cos x cosine x /ˈkəʊsʌɪn/ tan x tangent x /ˈtan(d)ʒ(ə)nt/ cot x cotangent x /kəʊˈtandʒ(ə)nt/ 1

2 Complete the crossword. Mathematical Symbols Across 1. 1 º (1 ) = Down 1. d 4. x 3 5.! 6. cos log 2

3 Expressing Numbers in English CARDINAL NUMBERS 100 a/one hundred 101 a hundred and one 200 two hundred - no s!!! 1,000 a/one thousand 2,000 two thousand - no s!!! 100,000 a/one hundred thousand 355,645 three hundred (and) fifty five thousand, six hundred (and) forty five 1,000,000 a/one million 2,000,000 two million - no s!!! 1,000,000,000 a/one billion Note: In British English, a billion used to be equivalent to a million million (i.e. 1,000,000,000,000), while in American English it has always equated to a thousand million (i.e. 1,000,000,000). British English has now adopted the American figure, though, so that a billion equals a thousand million in both varieties of English. In British English we say and before the tens in large numbers. This is left out in US English. 465 four hundred (and) sixty-five A comma is often written to separate the thousands in numbers over ,986 three thousand nine hundred and eighty-six. FRACTIONS ½ a half ¾ three-quarters 1 one and two-thirds DECIMAL FRACTIONS In British and US English, a point is used when writing decimals, not a comma. 6.9 six point nine 0 is pronounced 'oh' after the point and 'nought' before the point in British English. It is 'zero' or 'oh' in US English eight point oh seven (British English) eight point zero seven (US English) 0.6 nought point six (British English) zero point six or point six (US English) The numbers after the point are pronounced individually twenty-four point three five 3

4 MATHEMATICAL SYMBOLS START 0.94 a 5 log 3(81) = ,345,697 dy 90º = n + 7 > 15 8 FINISH n - a number 4

5 TEST A NAME TOTAL SCORE /12 How do we say the following? a b. ¾ c. 7,395 d. 6x8=48 e. 28 : 7 f. 5² g. 9 h. a B i. j. k. 3! l. log 2(8) = 3 TEST B NAME TOTAL SCORE /12 How do we say the following? a. 9 b. a B c d. e. f. 6x8=48 g. 28 : 7 h. 5² i. ¾ j. 3! k. log 2(8) = 3 l. 7,395 5