## Problem 308

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

## Problem 307

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

## Problem 306

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

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

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

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

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

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

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

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