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# math 116 man study guide 1 MATH 116

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This 4 page Study Guide was uploaded by Stacey Boateng on Saturday February 20, 2016. The Study Guide belongs to MATH 116 at Radford University taught by William Case in Spring 2016. Since its upload, it has received 26 views. For similar materials see Math and Humanity in Mathematics (M) at Radford University.

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Date Created: 02/20/16

Math 116: Study guide- Exam 1. Convert 11011 into a base 10 number 4 3 2 1 0 Expand the number and multiply by base 2: 12 +12 +02 +12 12 Multiply the base by the given exponent: 116+18+04+12+11= 27 Convert 245 to a base 5: (when you go from base 10 to a smaller base divide) 0 5 =1 (put a 0 for numbers skipped) 5 =5 20/5 (4 remainder) 45=20 20-20=0 2 5 =25 120/25 (4 remainder) 425= 100 120-100=20 5 =125 245/125 (1 remainder) 1251=125 245-125=120 *you multiply the remainder and the number divided in order to get the next number. 3 2 1 0 15 +45 +45 +05 = 1440 5 Convert 3324 to 5 base 6 (convert b4 to a b10 # then convert to b6#) 35 +35 +25 +451 0 3125+325+25+41 375+75+10+4+ 464 base 6 0 6 =1 2/1 (2 remainder) 21=2 2-2=0 6 =6 32/6 (5 remainder) 65=30 32-30=2 6 =36 (put a 0 for numbers skipped) 3 6 =216 464/216 (2 remainder) 2216=432 464-432=32 26 +06 +56 +26 = 20520 6 Prime Factorization: 2 2 36= 3 2 *** in order to findout if a number is prime, use the square root test, find the square root of the number and knock off the decimal, continue until it is proven the number is prime If a set has 23 elements how many subsets does it have 23 2 =8388608 remember the base for finding out the subsets is always 2^ Set formula: n(A)+ n(B)- n(AB) **Important symbols: List all of the possible subsets of {A, B, C} {A} {B} {C} {} {A,B} {B,C} {A,C} A= {1,2,3,4,5} B= {2,4,6,8} U= {1,2,3,4,5,6,7,8,9} to find A and B 1 A = {5,6,7,8,9} 1 B = {1,3,5,7,9} n(A)= 85 n(B)= 95 and ( A B)= 54 find (A B): 154=85+95-x -180 -180 -26= -x 26=x Write the following in builder set notation: {1.4.9.16.25.36.40.64.81.100}: {x|x is a square} Find n(A)= 3 Find n(N)= 4 Find n( A B)= 5 Find n( A B)= 2 Shade the portion that represents A B: Compliment of a set: { x1x and x } 1 Shade the portion that represents A (compliment) Are the following sets equivalent? {A, B, C} {H, F, G} Is A a proper subset of C? A C, yes because every element that lies in set A also lies in set C with an extra element. A= {1,2,3,4,5} C= {1,2,3,4,5,6,7}

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