Propiedades de los números reales

El conjunto de los números reales es la unión de los números racionales y los irracionales. Su representación es mediante una recta real (recta numérica). Podemos definir los números reales de la siguiente manera:

R = { x | x es un punto en una recta} 

Si dibujamos una recta cada punto representa un número real.

Objetivos:

  • Reconocer las propiedades de los números reales
  • Resolver operaciones utilizando las propiedades de los números reales

Download Propiedades de los números reales Mat 101.pdf

Properties of operations quiz Links to an external site.

Properties of numbers worksheet Links to an external site.

Properties of addition and multiplication Links to an external site.

Propiedad asociativa ejercicios Links to an external site.

Ejercicios de valor absoluto Links to an external site.

Ejercicios del libro:

Section 1.3 Exercises

Practice Makes Perfect

Use Negatives and Opposites of Integers

In the following exercises, order each of the following pairs of numbers, using < or >.

185 Links to an external site..


 9___49___4
 −3___6−3___6
 −8___−2−8___−2
 1___−101___−10

186.


 −7___3−7___3
 −10___−5−10___−5
 2___−62___−6
 8___98___9

In the following exercises, find the opposite of each number.

187 Links to an external site.. 

 2  −6−6

188. 

 9 −4−4

In the following exercises, simplify.

189 Links to an external site.. 

(−4)(−4)

190. 

(−8)(−8)

191 Links to an external site.. 

(−15)(−15)

192. 

(−11)(−11)

In the following exercises, evaluate.

193 Links to an external site.. 

cc when c=12c=12 c=−12c=−12

194. 

dd when
 d=21d=21
 d=−21d=−21

Simplify Expressions with Absolute Value

In the following exercises, simplify.

195 Links to an external site.. 

 |−32||−32| |0||0| |16||16|

196. 

 |0||0|
 |−40||−40| |22||22|

In the following exercises, fill in <, >, or == for each of the following pairs of numbers.

197 Links to an external site.. 

 −6___|−6|−6___|−6| |−3|___−3|−3|___−3

198. 

 |−5|___|−5||−5|___|−5| 9___|−9|9___|−9|

In the following exercises, simplify.

199 Links to an external site.. 

(−5)and|−5|(−5)and|−5|

200. 

|−9|and(−9)|−9|and(−9)

202. 

5|−5|5|−5|

203 Links to an external site.. 

|157||146||157||146|

204. 

|178||134||178||134|

205 Links to an external site.. 

18|2(83)|18|2(83)|

206. 

18|3(85)|18|3(85)|

In the following exercises, evaluate.

207 Links to an external site..


 |p|whenp=19|p|whenp=19
 |q|whenq=−33|q|whenq=−33

208.


 |a|whena=60|a|whena=60
 |b|whenb=−12|b|whenb=−12

Add Integers

In the following exercises, simplify each expression.

209 Links to an external site.. 

−21+(−59)−21+(−59)

210. 

−35+(−47)−35+(−47)

211 Links to an external site.. 

48+(−16)48+(−16)

212. 

34+(−19)34+(−19)

213 Links to an external site.. 

−14+(−12)+4−14+(−12)+4

214. 

−17+(−18)+6−17+(−18)+6

215 Links to an external site.. 

135+(−110)+83135+(−110)+83

216. 

−38+27+(−8)+12−38+27+(−8)+12

217 Links to an external site.. 

19+2(−3+8)19+2(−3+8)

218. 

24+3(−5+9)24+3(−5+9)

Subtract Integers

In the following exercises, simplify.

220. 

−6(−4)−6(−4)

221 Links to an external site.. 

−54−54

222. 

−72−72

223 Links to an external site.. 

8(−4)8(−4)

224. 

7(−3)7(−3)

225 Links to an external site.. 

 44284428 44+(−28)44+(−28)

226. 

 35163516 35+(−16)35+(−16)

227 Links to an external site.. 

 27(−18)27(−18) 27+1827+18

228. 

 46(−37)46(−37) 46+3746+37

In the following exercises, simplify each expression.

229 Links to an external site.. 

15(−12)15(−12)

230. 

14(−11)14(−11)

232. 

45694569

233 Links to an external site.. 

−1742−1742

234. 

−1946−1946

235 Links to an external site.. 

−103(−52)−103(−52)

236. 

−105(−68)−105(−68)

237 Links to an external site.. 

−45(–54)−45(–54)

238. 

−58(−67)−58(−67)

239 Links to an external site.. 

837837

240. 

965965

241 Links to an external site.. 

−54+7−54+7

242. 

−38+4−38+4

243 Links to an external site.. 

−14(−27)+9−14(−27)+9

244. 

64+(−17)964+(−17)9

245 Links to an external site.. 

(27)(38)(27)(38)

246. 

(18)(29)(18)(29)

247 Links to an external site.. 

(68)(24)(68)(24)

248. 

(45)(78)(45)(78)

249 Links to an external site.. 

25[10(312)]25[10(312)]

250. 

32[5(1520)]32[5(1520)]

251 Links to an external site.. 

634372634372

252. 

578249