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All Textbook Solutions for PREALGEBRA
Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 123. 12 + 8(u 1)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 124. 16-3(y + 8)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 125. 184( x + 2)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 126. 411(3c-2)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 127. 9 6( 7n 5)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 128. 22 (a + 3)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 129. 8 (r 7)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 130. 12 ( u + 10)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 131. 4 ( c 10)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 132. ( 5m 3) (m + 7)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 133. (4yl)(y2)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 134. 5( 2n + 9) + 12(n3)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 135. 9( 5u + 8) + 2( u 6)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 136. 9( 8x 3) (2)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 137. 4( 6x l) (8)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 138. 14(c 1) 8(c6)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 139. 11(n7)5( n 1)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 140. 6(7y + 8) ( 30y 15)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 141. 7( 3n + 9)( 4n 13)Evaluate Expressions Using the Distributive Property In the following exercises, evaluate both expressions for the given value. 142. If v = 2, evaluate (a) 6(4v + 7) (b) 6 4v + 6 7Evaluate Expressions Using the Distributive Property In the following exercises, evaluate both expressions for the given value. 143. If u = 1, evaluate (a) 8( 5u + 12) (b) 8- 5u + 8 12Evaluate Expressions Using the Distributive Property In the following exercises, evaluate both expressions for the given value. 144. If n = 23 evaluate (a) 3(n+56) (b) 3 n + 3 56Evaluate Expressions Using the Distributive Property In the following exercises, evaluate both expressions for the given value. 145. If v = 34 , evaluate (a) 4 (y+38) (b) 4 y + 4 38Evaluate Expressions Using the Distributive Property In the following exercises, evaluate both expressions for the given value. 146. If v = 712 , evaluate (a) 3(4y+ 15) (b) 3-4y + (3) 15Evaluate Expressions Using the Distributive Property In the following exercises, evaluate both expressions for the given value. 147. If p = 2330 , evaluate (a) 6( 5p + 11) (b) 6- 5p + (6)-11Evaluate Expressions Using the Distributive Property In the following exercises, evaluate both expressions for the given value. 148. If m = 0.4, evaluate (a) 10(3m-0.9) (b) 10 3m (10)(0.9)Evaluate Expressions Using the Distributive Property In the following exercises, evaluate both expressions for the given value. 149. If n = 0.75. evaluate (a) 100( 5n + 1.5) (b) 100- 5n + (100)(1.5)Evaluate Expressions Using the Distributive Property In the following exercises, evaluate both expressions for the given value. 150. If y = 25, evaluate (a) (y25) (b) y + 25Evaluate Expressions Using the Distributive Property In the following exercises, evaluate both expressions for the given value. 151. If w = 80, evaluate (b) (w 80) (b) w + 80Evaluate Expressions Using the Distributive Property In the following exercises, evaluate both expressions for the given value. 152. If p = 0.19, evaluate (a) (p + 0.72) (b) p 0.72Evaluate Expressions Using the Distributive Property In the following exercises, evaluate both expressions for the given value. 153. If q = 0.55, evaluate (a) (4 + 0.48) (b) q 0.48Everyday Math 154. Buying by the case Joe can buy his favorite ice tea at a convenience store for SI.99 per bottle. At the grocery store, he can buy a case of 12 bottles for $23.88. (a) Use the distributive property to find the cost of 12 bottles bought individually at the convenience store. (Hint: notice that $1.99 is $2-S0.01.) (b) Is it a bargain to buy the iced tea at the grocery store by the case?Everyday Math 155. Multi-pack purchase Adele's shampoo sells for $3.97 per bottle at the drug store. At the warehouse store, the same shampoo is sold as a 3-pack for $10.49. (a) Show how you can use the distributive property to find the cost of 3 bottles bought individually at the drug store. (b) How much would Adele save by buying the 3-pack at the warehouse store?Writing Exercises 156. Simplify (x14)using the distributive property and explain each step.Writing Exercises 157. Explain how you can multiply 4($5.97) without paper or a calculator by thinking of $5.97 as 6 — 0.03 and then using the distributive property.TRY IT :: 7.65 Identify whether each equation demonstrates the identity property of addition or multiplication: (a) 23 + 0 = 23 (b) 37(1) = 37.TRY IT :: 7.66 Identify whether each equation demonstrates the identity property of addition or multiplication: (a) 1·29 = 29 (b) 14 + 0 = 14.TRY IT :: 7.67 Find the additive inverse: (a) 18 (b) 79 (c) 1.2.TRY IT :: 7.68 Find the additive inverse: (a) 47 (b) 713 (c) 8.4.TRY IT :: 7.69 Find the multiplicative inverse: (a) 5 (b) 17 (c) 0.3.TRY IT:: 7.70 Find the multiplicative inverse: (a) 18 (b) 45 (c) 0.6.TRY IT:: 7.71 Simplify: (a) 140 (b) 0 23 (c) (16.5) 0.TRY IT:: 7.72 Simplify:(a) (1.95) 0 (b) 0(17) (c) 0 54TRY IT:: 7.73 Simplify: (a) 0 11 (b) 06 (c) 0 310 .TRY IT:: 7.74 Simplify: (a) 0 83 (b) 0 (-10) (c) 0 12.75.TRY IT :: 7.75 Simplify: (a) 16.4 0 (b) 20 (c) 15 0.TRY IT :: 7.76 Simplify: (a) 50 (b) 96.9 0 (c) 415 0TRYIT:: 7.77 Simplify: -12z + 9 + 12z .TRY IT :: 7.78 Simplify: 25u 18 + 25u .TRY IT:: 7.79 Simplify: 2(0. 5p ).TRY IT:: 7.80 Simplify: 25(0. 04r ).TRY IT :: 7.81 Simplify: 0m+7 , where m 7.TRY IT :: 7.82 Simplify: 0d4 , where d 4.TRY IT :: 7.83 Simplify: 186c0 .TRY IT :: 7.84 Simplify: 154q0 .TRY IT:: 7.85 Simplify: 2552 ( 20y + 50).TRY IT:: 7.86 Simplify: 3883 ( 12z + 16).Recognize the Identity Properties of Addition and Multiplication In the following exercises, identify whether each example is using the identity property of addition 158. 101+0= 101Recognize the Identity Properties of Addition and Multiplication In the following exercises, identify whether each example is using the identity property of addition 159. 35 (1) = 35Recognize the Identity Properties of Addition and Multiplication In the following exercises, identify whether each example is using the identity property of addition or multiplication. 160. 9 -1 = 9Recognize the Identity Properties of Addition and Multiplication In the following exercises, identify whether each example is using the identity property of addition or multiplication. 161. 0 + 64 = 64Use the Inverse Properties of Addition and Multiplication In the following exercises, find the multiplicative inverse. 162. 8Use the Inverse Properties of Addition and Multiplication In the following exercises, find the multiplicative inverse. 163. 14Use the Inverse Properties of Addition and Multiplication In the following exercises, find the multiplicative inverse. 164. 17Use the Inverse Properties of Addition and Multiplication In the following exercises, find the multiplicative inverse. 165. 19Use the Inverse Properties of Addition and Multiplication In the following exercises, find the multiplicative inverse. 166. 712Use the Inverse Properties of Addition and Multiplication In the following exercises, find the multiplicative inverse. 167. 813Use the Inverse Properties of Addition and Multiplication In the following exercises, find the multiplicative inverse. 168. 310Use the Inverse Properties of Addition and Multiplication In the following exercises, find the multiplicative inverse. 169. 512Use the Inverse Properties of Addition and Multiplication In the following exercises, find the multiplicative inverse. 170. 0.8Use the Inverse Properties of Addition and Multiplication In the following exercises, find the multiplicative inverse. 171. 0.4Use the Inverse Properties of Addition and Multiplication In the following exercises, find the multiplicative inverse. 172. -0.2Use the Inverse Properties of Addition and Multiplication In the following exercises, find the multiplicative inverse. 173. 0.5Use the Properties of Zero In the following exercises, simplify using the properties of zero. 174. 48 0Use the Properties of Zero In the following exercises, simplify using the properties of zero. 175. 06Use the Properties of Zero In the following exercises, simplify using the properties of zero. 176. 30Use the Properties of Zero In the following exercises, simplify using the properties of zero. 177. 22 0Use the Properties of Zero In the following exercises, simplify using the properties of zero. 178. 0 1112Use the Properties of Zero In the following exercises, simplify using the properties of zero. 179. 06Use the Properties of Zero In the following exercises, simplify using the properties of zero. 180. 03the Properties of Zero In the following exercises, simplify using the properties of zero. 181. 0 715Use the Properties of Zero In the following exercises, simplify using the properties of 182. 0 815Use the Properties of Zero In the following exercises, simplify using the properties of 183. (3.14)(0)Use the Properties of Zero In the following exercises, simplify using the properties of zero. 184. 5.72 0Use the Properties of Zero In the following exercises, simplify using the properties of 185. 1100Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 186. 19a + 44 19aSimplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 187. 27 c + 1627cSimplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 188. 38+ 11r — 38Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 189. 92 +31s92Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 190. 10(0. 1d )Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 191. 100(0.0 1p)Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 192. 5(0. 6q )Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 193. 40(0. 05n )Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 194. 0r+210 , where r 20Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 195. 0s+13 , where s 13Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 196. 0u4.99 , where u 4.99Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 197. 0v65.1 , where v 65.1Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 198. 0 (x12) , where x 12Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 199. 0 (y16) , where y 16Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 200. 325a0 , where 325a 0Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 201. 289b0 , where 28 9b 0Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 202 2.10.4c0 , where 2.1 + 0.4c 0Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 203. 1.75+0.9f0 , where 1.75 + 9f 0Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 204. (y34+910m)0 , where 34+910m 0Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 205. (516n37)0 , where 516n 37 0Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 206. 910109 ( 18p 21)Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 207. 5775 (20q 35)Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 208. 15 35 ( 4d +10)Simplify Expressions using the Properties of Identities, Inverses, and Zero In the following exercises, simplify using the properties of identities, inverses, and zero. 209. 18 56 ( 15h + 24)Everyday Math 210. Insurance copayment Carrie had to have 5 fillings done. Each filling cost $80. Her dental insurance required her to pay 20% of the cost. Calculate Carrie's cost (a) by finding her copay for each filling, then finding her total cost for 5 fillings, and (b) by multiplying 5(0.20)(80). (c)Which of the Properties of Real Numbers did you use for part (b)?Everyday Math211. Cooking time Helen bought a 24-pound turkey for her family's Thanksgiving dinner and wants to know what time to put the turkey in the oven. She wants to allow 20 minutes per pound cooking time. Calculate the length of time needed to roast the turkey by multiplying 24 20 to find the number of minutes and then multiplying the product by 160 to convert minutes into hours. (b) Multiply 24(20160) . (c) Which of the Properties of Real Numbers allows you to multiply 24(20160) instead of (24 20) 160Writing Exercises 212. In your own words, describe the difference between the additive inverse and the multiplicative inverse of a number.Writing Exercises 213. How can the use of the properties make it easier to simplify expressions?TRY IT :: 7.87 Lexie is 30 inches tall. Convert her height to feet.TRY IT :: 7.88 Rene bought a hose that is 18 yards long. Convert the length to feet.TRY IT :: 7.89 Arnold's SUV weighs about 4.3 tons. Convert the weight to pounds.TRY IT :: 7.90 A cruise ship weighs 51,000 tons. Convert the weight to pounds.TRY IT :: 7.91 The distance between Earth and the moon is about 250,000 miles. Convert this length to yards.TRY IT:: 7.92 A team of astronauts spends 15 weeks in space. Convert the time to minutes.TRY IT:: 7.93 How many cups are in 1 gallon?TRY IT:: 7.94 How many teaspoons are in 1 cup?TRY IT :: 7.95 Laura gave birth to triplets weighing 3 pounds 12 ounces, 3 pounds 3 ounces, and 2 pounds 9 ounces. What was the total birth weight of the three babies?TRY IT :: 7.96 Seymour cut two pieces of crown molding for his family room that were 8 feet 7 inches and 12 feet 11 inches. What was the total length of the molding?TRY IT:: 7 97 Henri wants to triple his spaghetti sauce recipe, which calls for 1 pound 8 ounces of ground turkey. How many pounds of ground turkey will he need?TRY IT :: 7.98 Joellen wants to double a solution of 5 gallons 3 quarts. How many gallons of solution will she have in all?TRY IT :: 7.99 Sandy completed her first 5-km race. How many meters did she run?TRY IT :: 7.100 Herman bought a rug 2.5 meters in length. How many centimeters is the length?TRY IT :: 7.101 Kari's newborn baby weighed 2800 grams. How many kilograms did the baby weigh?TRY IT:: 7.102 Anderson received a package that was marked 4500 grams. How many kilograms did this package weigh?TRY IT:: 7.103 Convert: (a) 7.25 L to kL (b) 6.3 L to mL.TRY IT :: 7.104 Convert: (a) 350 hL to L (b) 4.1 L to cL.TRY IT:: 7.105 Mariella is 1.58 meters tall. Her daughter is 75 centimeters tall. How much taller is Mariella than her d Write the answer in centimeters.TRY IT :: 7.106 The fence around Hank's yard is 2 meters high. Hank is 96 centimeters tall. How much shorter than the fence is Hank? Write the answer in meters.TRY IT :: 7.107 A recipe for Alfredo sauce calls for 250 milliliters of milk. Renata is making pasta with Alfredo party and needs to multiply the recipe amounts by 8. How many liters of milk will she need?TRY IT :: 7.108 To make one pan of baklava. Dorothea needs 400 grams of filo pastry. If Dorothea baklava, how many kilograms of filo pastry will she need?TRY IT :: 7.109 How many quarts of soda are in a 2-liter bottle?TRY IT :: 7.110 How many liters are in 4 quarts of milk?TRY it:: 7 111 The height of Mount Kilimanjaro is 5,895 meters. Convert the height to feet. Round to the nearest foot.TRY IT:: 112 The light distance from New York City to London is 5,586 kilometers. Convert the distance to miles. Round to the nearest mile.TRY IT :: 7.113 Convert the Fahrenheit temperatures to degrees Celsius: 59°F.TRY IT :: 7.114 Convert the Fahrenheit temperatures to degrees Celsius: 41°F.TRY IT :: 7.115 Convert the Celsius temperatures to degrees Fahrenheit: The temperature in Helsinki, Finland was 15°C.TRY IT:: 7.116 Convert the Celsius temperatures to degrees Fahrenheit: The temperature in Sydney, Australia was 10°C.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 214. A park bench is 6 feet long. Convert the length to inches.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 215. A floor tile is 2 feet wide. Convert the width to inches.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 216. A ribbon is 18 inches long. Convert the length to feet.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 217. Carson is 45 inches tall. Convert his height to feet.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 218. Jon is 6 feet 4 inches tail. Convert his height to inches.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 219. Faye is 4 feet 10 inches tall. Convert her height to inches.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 220. A football field is 160 feet wide. Convert the width to yards.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 221. On a baseball diamond, the distance from home plate to first base is 30 yards. Convert the distance to feet.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 222. Ulises lives 1.5 miles from school. Convert the distance to feet.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 223. Denver, Colorado, is 5,183 feet above sea level. Convert the height to miles.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 224. A killer whale weighs 4.6 tons. Convert the weight to pounds.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 225. Blue whales can weigh as much as 150 tons. Convert the weight to pounds.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 226. An empty bus weighs 35,000 pounds. Convert the weight to tons.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 227. At take-off, an airplane weighs 220,000 pounds. Convert the weight to tons.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 228. The voyage of the Mayflower took 2 months and 5 days. Convert the time to days.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 229. Lynn's cruise lasted 6 days and 18 hours. Convert the time to hours.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 230. Rocco waited 112 hours for his appointment. Convert the time to seconds.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 231. Misty's surgery lasted S S 214 hours. Convert the time to seconds.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 232. How many teaspoons are in a pint?Make Unit Conversions in the U.S. System In the following exercises, convert the units. 233. How many tablespoons are in a gallon?Make Unit Conversions in the U.S. System In the following exercises, convert the units. 234. JJ's cat, Posy, weighs 14 pounds. Convert her weight to ounces.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 235. April's dog, Beans, weighs 8 pounds. Convert his weight to ounces.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 236. Baby Preston weighed 7 pounds 3 ounces at birth. Convert his weight to ounces.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 237. Baby Audrey weighed 6 pounds 15 ounces at birth. Convert her weight to ounces.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 238. Crista will serve 20 cups of juice at her son's party. Convert the volume to gallons.Make Unit Conversions in the U.S. System In the following exercises, convert the units. 239. Lance needs 500 cups of water for the runners in a race. Convert the volume to gallons.Use Mixed Units of Measurement in the U.S. System In the following exercises, solve and write your answer in mixed units. 240. Eli caught three fish. The weights of the fish were 2 pounds 4 ounces, 1 pound 11 ounces, and 4 pounds 14 ounces. What was the total weight of the three fish?Use Mixed Units of Measurement in the U.S. System In the following exercises, solve and write your answer in mixed units. 241. Judy bought 1 pound 6 ounces of almonds, 2 pounds 3 ounces of walnuts, and 8 ounces of cashews. What was the total weight of the nuts?Use Mixed Units of Measurement in the U.S. System In the following exercises, solve and write your answer in mixed units. 242. One day Anya kept track of the number of minutes she spent driving. She recorded trips of 45, 10, 8, 65, 20, and 35 minutes. How much time (in hours and minutes) did Anya spend driving?Use Mixed Units of Measurement in the U.S. System In the following exercises, solve and write your answer in mixed units. 243. Last year Eric went on 6 business trips. The number of days of each was 5. 2, 8, 12, 6, and 3. How much time (in weeks and days) did Eric spend on business trips last year?Use Mixed Units of Measurement in the U.S. System In the following exercises, solve and write your answer in mixed units. 244. Renee attached a 6-foot-6-inch extension cord to her computer's 3-foot-8-inch power cord. What was the total length of the cords?Use Mixed Units of Measurement in the U.S. System In the following exercises, solve and write your answer in mixed units. 245. Fawzi's SUV is 6 feet 4 inches tall. If he puts a 2-foot-10-inch box on top of his SUV, what is the total height of the SUV and the box?Use Mixed Units of Measurement in the U.S. System In the following exercises, solve and write your answer in mixed units. 246. Leilani wants to make 8 placemats. For each placemat she needs 18 inches of fabric. How many yards of fabric will she need for the 8 placemats?Use Mixed Units of Measurement in the U.S. System In the following exercises, solve and write your answer in mixed units. 247. Mireille needs to cut 24 inches of ribbon for each of the 12 girls in her dance class. How many yards of ribbon will she need altogether?Make Unit Conversions in the Metric System In the following exercises, convert the units. 248. Ghalib ran 5 kilometers. Convert the length to meters.Make Unit Conversions in the Metric System In the following exercises, convert the units. 249. Kitaka hiked 8 kilometers. Convert the length to meters.Make Unit Conversions in the Metric System In the following exercises, convert the units. 250. Estrella is 1.55 meters tall. Convert her height to centimeters.Make Unit Conversions in the Metric System In the following exercises, convert the units. 251. The width of the wading pool is 2.45 meters. Convert the width to centimeters.Make Unit Conversions in the Metric System In the following exercises, convert the units. 252. Mount Whitney is 3,072 meters tall. Convert the height to kilometers.Make Unit Conversions in the Metric System In the following exercises, convert the units. 253. The depth of the Mariana Trench is 10.911 meters. Convert the depth to kilometers.Make Unit Conversions in the Metric System In the following exercises, convert the units. 254. June's multivitamin contains 1.500 milligrams of calcium. Convert this to grams.Make Unit Conversions in the Metric System In the following exercises, convert the units. 255. A typical ruby-throated hummingbird weights 3 grams. Convert this to milligrams.Make Unit Conversions in the Metric System In the following exercises, convert the units. 256. One stick of butter contains 91.6 grams of fat. Convert this to milligrams.Make Unit Conversions in the Metric System In the following exercises, convert the units. 257. One serving of gourmet ice cream has 25 grams of fat. Convert this to milligrams.Make Unit Conversions in the Metric System In the following exercises, convert the units. 258. The maximum mass of an airmail letter is 2 kilograms. Convert this to grams.Make Unit Conversions in the Metric System In the following exercises, convert the units. 259. Dimitri's daughter weighed 3.8 kilograms at birth. Convert this to grams.Make Unit Conversions in the Metric System In the following exercises, convert the units. 260. A bottle of wine contained 750 milliliters. Convert this to liters.Make Unit Conversions in the Metric System In the following exercises, convert the units. 261. A bottle of medicine contained 300 milliliters. Convert this to liters.Use Mixed Units of Measurement in the Metric System In the following exercises, solve and write your answer in mixed units. 262. Matthias is 1.8 meters tall. His son is 89 centimeters tall. How much taller, in centimeters, is Matthias than his son?Use Mixed Units of Measurement in the Metric System In the following exercises, solve and write your answer in mixed units. 263. Stavros is 1.6 meters tall. His sister is 95 centimeters tall. How much taller, in centimeters, is Stavros than his sister?Use Mixed Units of Measurement in the Metric System In the following exercises, solve and write your answer in mixed units. 264. A typical dove weighs 345 grams. A typical duck weighs 1.2 kilograms. What is the difference, in grams, of the weights of a duck and a dove?Use Mixed Units of Measurement in the Metric System In the following exercises, solve and write your answer in mixed units. 265. Concetta had a 2-kilogram bag of flour. She used 180 grams of flour to make biscotti. How many kilograms of flour are left in the bag?Use Mixed Units of Measurement in the Metric System In the following exercises, solve and write your answer in mixed units. 266. Harry mailed 5 packages that weighed 420 grams each. What was the total weight of the packages in kilograms?Use Mixed Units of Measurement in the Metric System In the following exercises, solve and write your answer in mixed units. 267. One glass of orange juice provides 560 milligrams of potassium. Linda drinks one glass of orange juice every morning. How many grams of potassium does Linda get from her orange juice in 30 days?Use Mixed Units of Measurement in the Metric System In the following exercises, solve and write your answer in mixed units. 268. Jonas drinks 200 milliliters of water 8 times a day. How many liters of water does Jonas drink in a day?Use Mixed Units of Measurement in the Metric System In the following exercises, solve and write your answer in mixed units. 269. One serving of whole grain sandwich bread provides 6 grams of protein. How many milligrams of protein are provided by 7 servings of whole grain sandwich bread?Convert Between U.S. and Metric Systems In the following exercises, make the unit conversions. Round to the nearest tenth. 270. Bill is 75 inches tall. Convert his height to centimeters.Convert Between U.S. and Metric Systems In the following exercises, make the unit conversions. Round to the nearest tenth. 271. Frankie is 42 inches tall. Convert his height to centimeters.Convert Between U.S. and Metric Systems In the following exercises, make the unit conversions. Round to the nearest tenth. 272. Marcus passed a football 24 yards. Convert the pass length to meters.Convert Between U.S. and Metric Systems In the following exercises, make the unit conversions. Round to the nearest tenth. 273. Connie bought 9 yards of fabric to make drapes. Convert the fabric length to meters.Convert Between U.S. and Metric Systems In the following exercises, make the unit conversions. Round to the nearest tenth. 274. Each American throws out an average of 1.650 pounds of garbage per year. Convert this weight to kilograms.Convert Between U.S. and Metric Systems In the following exercises, make the unit conversions. Round to the nearest tenth. 275. An average American will throw away 90,000 pounds of trash over his or her lifetime. Convert this weight to kilograms.Convert Between U.S. and Metric Systems In the following exercises, make the unit conversions. Round to the nearest tenth. 276. A 5K run is 5 kilometers long. Convert this length to miles.Convert Between U.S. and Metric Systems In the following exercises, make the unit conversions. Round to the nearest tenth. 277. Kathryn is 1.6 meters tall. Convert her height to feet.Convert Between U.S. and Metric Systems In the following exercises, make the unit conversions. Round to the nearest tenth. 278. Dawn's suitcase weighed 20 kilograms. Convert the weight to pounds.Convert Between U.S. and Metric Systems In the following exercises, make the unit conversions. Round to the nearest tenth. 279. Jackson's backpack weighs 15 kilograms. Convert the weight to pounds.Convert Between U.S. and Metric Systems In the following exercises, make the unit conversions. Round to the nearest tenth. 280. Ozzie put 14 gallons of gas in his truck. Convert the volume to liters.Convert Between U.S. and Metric Systems In the following exercises, make the unit conversions. Round to the nearest tenth. 281. Bernard bought 8 gallons of paint. Convert the volume to liters.Convert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 282. 86°FConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 283. 77°FConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 284. 104°FConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 285. 14°FConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 286. 72ºFConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 287. 4ºFConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 288. 0ºFConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 289. 120ºFConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 290. 5ºCConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 291. 25ºCConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 292. -10ºCConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 293. -15ºCConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 294. 22ºCConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 295. 8ºCConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 296. 43ºCConvert between Fahrenheit and Celsius In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth. 297. 16ºCEveryday Math 298. Nutrition Julian drinks one can of soda every day. Each can of soda contains 40 grams of sugar. How many kilograms of sugar does Julian get from soda in 1 year?Everyday Math 299. Reflectors The reflectors in each lane-marking stripe on a highway are spaced 16 yards apart. How many reflectors are needed for a one-mile-long stretch of highway?Writing Exercises 300. Some people think that 65º to 75º Fahrenheit is the ideal temperature range. (a) What is your ideal temperature range? Why do you think so? (b) Convert your ideal temperatures from Fahrenheit to Celsius.Writing Exercises 301. (a) Did you grow up using the U.S. customary or the metric system of measurement? (b) Describe two examples in your life when you had to convert between systems of measurement. (c) Which system do you think is easier to use? Explain.Rational and Irrational Numbers In the following exercises, write as the ratio of two integers 302. 6Rational and Irrational Numbers In the following exercises, write as the ratio of two integers 303. -5Rational and Irrational Numbers In the following exercises, write as the ratio of two integers 304. 2.9Rational and Irrational Numbers In the following exercises, write as the ratio of two integers 305. 1.8In the following exercises , determine which of the numbers is rational. 306. 0.42, 0.3 , 2.56813...In the following exercises , determine which of the numbers is rational. 307. 0.75319.... 0.16 , 1.95In the following exercises, identify whether each given number is rational or irrational. 308. (a) 49 (b) 55In the following exercises, identify whether each given number is rational or irrational. (a) 72 (b) 64In the following exercises, list the (a) whole numbers, (b) integers, (c) rational numbers, (d) irrational numbers, ( e ) real numbers for each set of numbers. 310. -9, 0, 0.361…., 89 , 16 , 9In the following exercises, list the (a) whole numbers, (b) integers, (c) rational numbers, (d) irrational numbers, ( e ) real numbers for each set of numbers. 311. -5, - 214 , - 4 , 0.25 , 135 , 4In the following exercises, use the commutative property to rewrite the given expression. 312. 6+4=_______In the following exercises, use the commutative property to rewrite the given expression. 313. -14.5 =_________In the following exercises, use the commutative property to rewrite the given expression. 314. 3n = _____________In the following exercises, use the commutative property to rewrite the given expression. 315. a + 8 = _____________In the following exercises, use the commutative property to rewrite the given expression. 316. (13.5)· 2 =____________In the following exercises, use the commutative property to rewrite the given expression. . (22+7) + 3 = _____________In the following exercises, use the commutative property to rewrite the given expression. 318. (4+9x)+ x = _____________In the following exercises, use the commutative property to rewrite the given expression. 319. 12(22y) = _____________In the following exercises , evaluate each expression for the given value. 320. If y = 1112 , evaluate: (a) y+0.7+(y) (b) y+(y)+0.7In the following exercises , evaluate each expression for the given value. 321. If z = 53 , evaluate: (a) z +5.39+(-z) (b) z +(-z)+5.39In the following exercises , evaluate each expression for the given value. 322. If k = 65, evaluate: (a) 49(49k) (b)(4949)kIn the following exercises , evaluate each expression for the given value. 323. If m= -13, evaluate: (a) 25(52m) (b)(2552)mIn the following exercises, simplify using the commutative and associative properties. 324. 6y+37+(6y)In the following exercises, simplify using the commutative and associative properties. 325. 14+1115+(14)In the following exercises, simplify using the commutative and associative properties. 326. 1411359(1411)In the following exercises, simplify using the commutative and associative properties. 327. -18·15· 29In the following exercises, simplify using the commutative and associative properties. 328. (712+45)+15In the following exercises, simplify using the commutative and associative properties. 329. (3.98d+0.75d)+1.25dIn the following exercises, simplify using the commutative and associative properties. 330. -12(4m)In the following exercises, simplify using the commutative and associative properties. 331. 30(56q)In the following exercises, simplify using the commutative and associative properties. 332. 11x+8y+16x+15yIn the following exercises, simplify using the commutative and associative properties. 333. 52m+(20n)+(18m)+(5n)Distributive Property In the following exercises, simplify using the distributive property. 334. 7(x+9)Distributive Property In the following exercises, simplify using the distributive property. 335. 9(u4)Distributive Property In the following exercises, simplify using the distributive property. 336. -3( 6m 1)Distributive Property In the following exercises, simplify using the distributive property. 337. -8(- 7a -12)Distributive Property In the following exercises, simplify using the distributive property. 338. 13(15n6)Distributive Property In the following exercises, simplify using the distributive property. 339. ( y + 10) · pDistributive Property In the following exercises, simplify using the distributive property. 340. (a4)(6a+9)Distributive Property In the following exercises, simplify using the distributive property. 341. 4(x+3)8(x7)In the following exercises evaluate using the distributive property. 342. If u = 2, evaluate (a) 3(8u + 9) (b) 3S8u to show that 3(8u + 9) = 3 · 8u + 3.9In the following exercises evaluate using the distributive property. 343. If n = n=75 , evaluate (a) 8(n+14) (b) 8n+814 to show that 8(n+14) = 8n+814In the following exercises, evaluate using the distributive property. 344. If d = 14, evaluate (a) —100(0.It/ + 0.35) and (b) -100-(0.1d) + (-100)(0.35) to show that -100(0. Id + 0.35) = -100 - (0. 1d ) + (-100)(0.35)In the following exercises evaluate using the distributive property. 345. If y = -18, evaluate (a) (y - 18) and (b) y + 18 to show that -(y-18) = -y + 18Properties of Identities, Inverses, and Zero In the following exercises, identify whether each example is using the identity property of addition or multiplication. 346. -35(1) = -35Properties of Identities, Inverses, and Zero In the following exercises, identify whether each example is using the identity property of addition or multiplication. 347. 29 + 0 = 29Properties of Identities, Inverses, and Zero In the following exercises, identify whether each example is using the identity property of addition or multiplication. 348. (6x+0)+4x=6x+4xProperties of Identities, Inverses, and Zero In the following exercises, identify whether each example is using the identity property of addition or multiplication. 349. 91+(3)=9+(3)In the following exercises, find the additive inverse 350. -32In the following exercises, find the additive inverse. 351. 19.4In the following exercises, find the additive inverse 252. 35In the following exercises, find the additive inverse 353. 715In the following exercises, find the multiplicative inverse 354. 92In the following exercises, find the multiplicative inverse 355. -5In the following exercises, find the multiplicative inverse 356. 110In the following exercises, find the multiplicative inverse 357. - 92In the following exercises, simplify. 358. 83.0In the following exercises, simplify. 359. 09In the following exercises, simplify. 360. 50In the following exercises, simplify. 361. 023In the following exercises, simplify. 362. 43+39+(43)In the following exercises, simplify. 363. (n+6.75)+0.25In the following exercises, simplify. 364. 51357135In the following exercises, simplify. 365. 161712In the following exercises, simplify. 366. 232837In the following exercises, simplify. 367. 9(6x11)+15In the following exercises , convert between U.S. units. Round to the nearest tenth A floral arbor is 7 feet tall Convert the height to inches.In the following exercises, convert between U.S. units. Round to the nearest tenth. 369. A picture frame is 42 inches wide. Convert the width to feet.In the following exercises, convert between U.S. units. Round to the nearest tenth 370. Kelly is 5 feet 4 inches tall. Convert her height to inches.