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MAT115+Final+Exam[1]

# MAT115+Final+Exam[1] - Name_Cynthia Collins Date MAT115...

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Name:_____Cynthia Collins________________ Date:_____9-26-10_________________ MAT115 Final Exam Chapters 1 - 9 40 problems – 6 points each 2 problems worth 5 points each 250 points possible Solve all problems and attach your solutions document in the assignment section. Remember to show all steps and check your work carefully. There are 2 problems worth 5 points each (#41 and #42) Proble m Remember to simplify all answers Grading Comments 1 Name the property that is illustrated. a) 7 × 6 = 6 × 7= Commutative Property of Multiplication b) 7 + (1 + 9) = (7 + 1) + 9= Associative Property of Addition 2 Give the place value for the indicated digit. a) 8 in the number 138,350 = The order (from right to left) is: ones, tens, hundreds, thousands, ten thousands, hundred thousands b) 6 in the number 51, 761=  It's the 4th from the right, so it is in the  thousands 3 Find the prime factorization of the number 117. = 3 2 • 13 117 is not a prime number 4 Add and simplify. Ms.J. Webb Page 1 MAT 115

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3 1 7 4 10 15 + + 5 Find the least common multiple of 18, 27, and 45= 18: 2*3*3 27: 3*3*3 45: 3*3*5 Now multiply all of the highlighted factors 2*3*3*3*5=270 So the LCM of 18, 27, and 45 is 270 6 Four buttons have diameters of 5 8 , 3 4 , 9 16 , and 7 8 inches. Which button is smallest? Change the denominator of each of the fractions to 16: 5/8 = 10/16 3/4 = 12/16 9/16 = 9/16 7/8 = 14/16 Now you can compare the numbers because they all have the same denominators: The smallest is 9/16 7 Multiply 2 5 4 3 . 3 6 × Write your answer in simplest form. 14/3 * 23/6 Cancel a factor of 2: = 7/3 * 23/3 Multiply: = 161/9 (same as 17 and 8/9) Ms.J. Webb Page 2 MAT 115
8 Add. 14.67 8.147 2.4 + 25.217 9 Find the circumference of the figure. Use 3.14 for π and round your answer to one decimal place. C = 2*pi*r = 2*3.14*12 = 75.36 feet Rounds to: = 75.4 feet 10 Determine whether the pair of fractions is proportional: ? 7 21 . 9 27 = To determine proportionality, cross multiply. If the products are equal, the fractions are proportional. 7/9=21/27 7. (27) = 9.(21) 189=189 Yes, they are proportional. 7/9.3/3= 21/27 11 Write the following as a common fraction or mixed number, then simplify 0.76 First write it as: 0.76/1 Multiplying both the denominator and numerator by 100, we have: 0.76.100/1.100=76/100 Simplifying we then have 76/100=2. 2. 19 / 2. 2. 25= it would be 2/2 leave out then 2/2 leave it out with remaining 19/25 =19/25 12 Use percent notation to name the shaded portion of the Ms.J. Webb Page 3 MAT 115

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MAT115+Final+Exam[1] - Name_Cynthia Collins Date MAT115...

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