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Name Date /1M~ ~. _ 1st Six Weeks - Math' Review for Assessment #1 Scientific Notation: Wrlte each number in standard notation. ..2~4 4. 9.1 '9 S. 6.08 I 00 I 10-4 Write each number in scientific - 8. '5" 600 o I notation. 0.00006 ~ b.x to X (O~ 10. 98,856 10-2 6. 5.6 X 104 O-ooo~v6 co 7. 907,100 X X o.obl 0. oo(5~ x 105 f.ol1 3. 6.7 2. 7.53 x 10-3 1. 2.54 X 102 -~ . . . ..2.(:)8x(0 12. 11. 0.003007 9. ~G''5"b Xl\)4- 9. 208 0.093 ';,ol::>l X (0-3 13. Jupiter is about 778,120,000 kilometers from the Sun. Write this number in scientific notation. Tk. '''11\\-11\ be'~ ~"H:I~. 7.1& {:2 y r0 -1 V) ~L*"-~f'-- I'\.~~ '8' 14. The E. coli bacterium is about 5 x 10::l meters wide. A hair is about 1.7 x 10=2 meters wide. Which is.wider, the bacterium or the hair. :; ~ ~ r I Write the correct answer. 15. In June 2001, the Intel Corporation announced that they could produce a silicon transistor that could switch on and off 1.5 trillion times a second. Express the speed of the transistor in scientific notation. k .l-.~ -rk. ~ ~.J.- ,.? x .o ~f'- 'YlS" u'\ 16. With this transistor. computers will be able to do 1 x 109 calculations in the time it takes to blink your eye. Express the number of calculations using standard notation. .;-S IOObO~'';:) , l:l 17. The elements in this fast transistor I 000 18. The length of the elements in the transistor can also be compared to the width of a human hair. The length of an element is 2 x 10-5 times smaller than the width' of a human hair. Express 2 x 10-5 in standard notation . are 20 nanometers long. A nanometer is one-billionth of a meter. Express the length of an element in the transistor in meters using scientific notation. .).O.(t~IO-l' I ) 2 ')(10-8 z: The Real Numbers: Write all names that apply to each number: 20. 19. -3.2 ~11OHA.lJ~~kr . -~~.\ J2£\--n'{)-~ 1J~~~ t\3 ~\"'hu-. 22. V4 :t =. --:3: =:.., 21. -v12 2 5 .k· ... _i1€Jb\ lli f\hwkr, 1~-+\~ ~ett~k~ber. 24. v'16 ;;:.4- 23. -20 2 ' lr-¢--e<fU ~~I\J. r:t~ N N~ht'~\.h\. I~\O~ N. ,! ~~~ .tetL N-tt,cl N. If\q~ ! N·I tkf,q~l V .j , F-e~ N . f\J. vJ..k I J ( \ i i -,--~., _' r r . 't 3.' State if the number is rational, irratlonal, or not a real number. 26. 25. 0 ~~~rA- '; 29. v25 ;:; .S: 31. -V49 4 28. Ve -0 1\1•..k ;-1 ~Ot- fhvl ~~bef 32. V11 1U.so~ ReJJoMl i1J\o·MJl v=4 1\)0»; ~ l~-h~'-CIil 30. 3 27. V7 l(rdJ~~ Find a real number between each pair of numbers. 34. 216 11 . and 5 ,).2 33. 3.1and3~ 3 3 ro (I ~ 3 '1' =.l;= b 1 :L ]\fu\~1k ~~~ M,\\\f\~k ~1' ~~. -t 2~\ ~ 36. Give an example of an irrational number that is greater than'O. i\,A~~~~k~ 1-i~. 11 sands , . "~\£~\D- ~~we-rs. ~l) 35. i.\Jt'~ . ~ 37. Give an example of a number that is not real. 38. GIve an example of a rational number between ~ and \IT. M~\-t\ ~ ~-e.. &.~-we vs. . 3 -4 I bswe-~· }I ; Relating Decimals, Fractions, and Percents Ir Find the missing. ratio or'psrcent equivalent for each letter on the number line. r 0% ! E 25% I 1 8 0 40. m 39. a 40% I I b t 41. 42. r b a 60% I 1 I ' c l25 ~ =4' 3 4 c ~I ~~ ! 9 45. 40 --roo (00 100% I• 1 10 t 44. P4 I 15k ! 2 43. 84% x .. " .. I d ~7 (00 Tjolo m I ~ 2 46. d 60 x 9010. (o O 3 -::'-S -=-~ Compare. Write <. >, or =. 48. 47. 0.76 GJ 81% 49. ~.[8.20% ~~99% 60% 10 52. 51. 50. g] .~ 37% I =-1 0.37 0.7 [8 7% , . Order the numbers from least to greatest. 53. 54. ~, 30%, 0.03, 23% 55. 3 1 100%, 0.95, 59%, o.bl O. t \I \ 7f, 5'110 O·7~ I o .0 ~ 2-:s.~ , ~~ 1.0 ' I ~ . 4' 0.4, 0.34,45% 9 I Look'0 o:.,r C).34 10. Lf I 411o)~ t Order the numbers from greatest to least. 56. J.. 62%, 2, 0.58, 85% 0.5 57. 4 5' 54%, 0.45, 0-8 ' 44;5% 58. 1 . 3' 20%, 0.3, 3% o.~~ --