130-terwilliger-07sp02-key

130-terwilliger-07sp02-key - Instr: Paul Terwilliger Spring...

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Unformatted text preview: Instr: Paul Terwilliger Spring 07 Math 130 Midterm II Your Name U GM NO CALCULATORS ALLOWED. Show all yourwork. CLEAR AND APPROPRIATE» EXPLANATIONS COUNT FOR JUST AS MUCH AS THE CORRECT NUMERICAL ANSWER. ' ‘ 1. The numbers A and B are shown on the number line below. Find the points on the number line that correspond to thefollowing: —A + B; (ii) —(A + B); (iii) A + B; (iv) ——-(B — A). Label your answers clearly. ' V A l a I 5 . ¢_—"—“"'—”—‘*—'—r’—r . w T \ ' (6 W4) ‘( W”) Are "5“6 2. Compute 3/4 — 2/3 and express your answer as a fraction. Explain why your method is valid using the number line below. r e 3 . 1; fl 4 c: I. r I ' ‘ l l l l i l i ' A ‘ ' ‘_"”‘”— L J. i u. 3 3 W s - z e i ./ /' er" é’ 3, I?» 4. The price of a shirt is marked down 35% t your reasoning using the definition of percent. «‘7‘ t: 26 : J. 3‘46 T; 5‘ .. 6 g __L [0’23 I (.0 J,» x: : 3‘2 Cr: 0 $26. What was the original price? Explain c572- ,Zfél ; Z (3 M Fax-v2? mf— W'vé’h $2” 2c, VANS uh (EFL? EVCBxLE‘Efl art? 9%,. a} pace 5. Describe a way to solve 204 — 81' mentally, by using reasoning other than the standard subtraction algorithm. Then write a coherent sequence of equations that correSpond to your reasoning. ' ’ "204-35; arr—2’0 6. One type of floor tile costs $70 per square yard. A second type of floor tile costs $7.90 per square foot. Which type of tile is more expensive? Explain your reasoning. :va 'g—MJ’i x, r; / $1.5 717% RJ 1<z iwu Mrs/wove P. 1’. How manv different three d' ‘ ‘ ’ - -' - Iglt. numbers can be mad . re eated di ‘ , . ‘ €- usmg only the divits 2. I :1 priblem “rjiitsaare alioxned (so that 232 and 334 are counted)? Show hOCW t 3;: \mere '1 r ' a." I ' ' ‘ ' ex 1 _ Vh _ 1 Organlzed flat and tree dlagram. Use the meanin f . .O,.80 V? this p am V" Y thls pTOblem can be solved by multimin g 0 mufilpncamon to u ‘ ‘ b, Calf/(15V “44 F! L; 56 Drum Ear/f1 74455 # fi/Qh’md 1) 3 x3 :7 ktA 8. A cube that is 1 foot tall, 1 foot wide, and 1 foot deep is made out of smaller cubes that are each 1 inch tall, 1 inch Wide, and 1 inch deep. The large cube is painted on the outside. 12? (ii) How many of the smaller cubes have paint on exactly two sides? ans (i) How many of the smaller cubes have paint on them? ans 1 L 0 1 8 (iii) How many of the smaller cubes have paint on exactly three sides? ans 23,10): [12? ’1000 é ?Z-‘r’ [.wa’llo 9. Determine which of the foilowing two numbers is larger, withou number explicitly. Explain your reasoning. The numbers are: (i) 1000, 000 x (1+2+3+-~+1,000,001); (ii) 1:000, 001 X (1 + 2+3+---+1=000,000). t actually calculating each n ‘ 715 5 W14 56" {3 a»; of / ("71 : Aéiaffivqak m: i/OOL7KC7éu ‘0’ ‘2“ ff 2. r 2) 1" + m / I \ / 3% ,3 /H(L+“"-f’/ i I l— 5 , \ ~ a, _‘ ,v. VL fly , ,r I'sz n4 (my; / 5 t 51% //VW (0V etc/MW s ‘— W ; 5 ghqgécd' axe”; ‘ I Ix ( Ck/LE/é’k ALL/aw) a : ; Ch 10. Draw a subdivided array to show that 7 x 6 = 5 X 5+ 5 x 1 + 2 X 5 + 2 x 1. Then write a coherent sequence of equations and use the properties of arithmetic to Show Why the preceding equation is true. 9 “H ' . r—j'f— . g c __ {.4 .4 ’v“ “T” 5W1 f ; é i 2! f gx‘i é r 5 N E k g 3 g f 5 f i § r 3 A: f '52, :Lszg iii)“: /' ‘g _ 1;, 3 4x69 : {Sf-ea; h(’tr"/ :' §'*(§3frlj «k 2% 5‘“) + 1X57“ 7“" 11. Use the partial products algorithm to calculate 27 x 2 8. Illustrate the meaning of this algorithm using a rectangular array diagram. ' 9’2? glue: 7% 2 b7 1x1” [3 Zak 1 (a Cl 3‘ " $7 ‘r c C ‘5‘10 2L 5 g \ 4" I? l i l l l x j ; l' s z a : A b l f .I l 2—4 l f l l I .3 : l l l s i z i 5 _,,,§ L} ammo" ’37»? ...
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This note was uploaded on 08/08/2008 for the course MATH 130 taught by Professor Terwilliger during the Spring '07 term at Wisconsin.

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130-terwilliger-07sp02-key - Instr: Paul Terwilliger Spring...

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