Month: April 2014

Problem 308 Use the definition of division to justify that 120 ÷ 40 = 3.   Solution 120 ÷ 40 = 3 because 3 x 40 = 120  

Problem  307 Use addition to justify that 123 > 85.   Solution 123 > 85 since 123 = 85+38 so 123 > 85 is true  

Problem 306 Use expanded notation to describe the value of 1,045.   Solution (1045) b=1 × b3 + 0 × b2 + 4 × b1 + 5 × b0  

Problem 305 For each of the following action, write a word problem that can be solved with the equation 85 – 62 = n: a. Taking away one length from…

Problem 304 For sets U = (0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12) A = {2, 3, 5, 6}, B = {3, 4}, and C…

Problem 303 Express the quantity 184 as the equivalent numeral in each base given. a. Base five b. Base two   Solution a. (1214)5 b. (10111000)2  

Problem  302 Translate Hindu-Arabic numerals 100,66,247, and 180 into the equivalent  Egyptian, Babylonian, Roman, and Mayan numerals.(Hint: Make a table and record your answers in it.)   Solution

Problem 301 Find the representation  of the number 256 in the following bases: a. Base six b. Base twelve c. Base two   Solution a. (1104)6 b. (194)12 c. (100000000)2…

Problem 300 Write the number of objects as a a. Base-ten numeral. b. Base –two numeral. c. Base-five numeral.   Solution   a. 14 b. (1110)2 c. (24)5  

Problem 299 The product 12 x 16 can be found by thinking, (10 +2) x 6 = (10 x 6 ) + (2 x 6) = 60 + 12 =…