## ghazi 3 years ago 8 5/8 and 10 2/3

1. ghazi

$8\frac{ 5 }{ 8 }= \frac{ 8*8+5 }{ 8 }=\frac{ 64+5 }{ 8 }=\frac{ 69 }{ 8 }$ @vikayefremova

2. ghazi

$10 \frac{ 2 }{ 3 }= \frac{ 10*3+2 }{ 3 }=\frac{ 30+2 }{ 3 }=\frac{ 32 }{ 3 }$

3. ghazi

now area = length * width $\frac{ 69 }{ 8 }*\frac{ 32 }{ 3 }= \frac{ 69 }{ 3 }*\frac{ 32 }{ 8 }=23*4=92$ ft square ...clear ??

4. vikayefremova

yes that is clear, thank you :)

5. ghazi

|dw:1348344838506:dw|

6. ghazi

:) you're welcome

7. ghazi

@vikayefremova over here..that was too long lol ...let's begin here

8. vikayefremova

hehe.. okay :D

9. ghazi

hey we have already done this...you need to add powers ...bases are same

10. ghazi

$8*8^8=8^{8+1}=8^9$

11. vikayefremova

hmm.. i dont know why same questions appear in different assignments :/ this is weird

12. ghazi

no ..how could you forget the solution...this is weird ..lol

13. vikayefremova

oh :D well i didnt forget exactly.. you are just giving me answers im gonna look over this though :P

14. ghazi

okay...next?

15. ghazi

i have explained steps too :(

16. vikayefremova

yes i know :D

17. vikayefremova

18. ghazi

$(X^a)^b=X^{a*b}......(9^{-8})^9=9^{-8*9}$

19. ghazi

clear?

20. vikayefremova

yes :D

21. ghazi

next?

22. vikayefremova

23. ghazi

you can do it

24. vikayefremova

it's like the last question right?

25. ghazi

oh sorry yes

26. vikayefremova

okay :)

27. ghazi

what is it? what you got?

28. vikayefremova

umm..

29. ghazi

lol

30. vikayefremova

38?

31. ghazi

$(m)^{19*2}=m^{38}$

32. ghazi

correct

33. vikayefremova

okay.. thanks :)

34. vikayefremova

fine, im gonna feel stupid again :(

35. ghazi

36. vikayefremova

okay.. wait a sec :P

37. ghazi

$3^{2+3+5}$ what you got?

38. vikayefremova

i got 59049 ?on the calculator, it would be like this right.. 9*27*243?

39. ghazi

that's correct but you have to write it as $3^{10}$ okay?

40. ghazi

41. vikayefremova

okay :)

42. ghazi

next?

43. vikayefremova

its okay, im done :(

44. ghazi

no, you are not

45. vikayefremova

yess.. i really am :P

46. ghazi

@vikayefremova is it n^3*n^4

47. ghazi

$n^3*n^4$ ??

48. ghazi

if yes...the just add the powers...bases are same

49. ghazi

$n^{3+4}$ clear?

50. vikayefremova

okay :)

51. vikayefremova

i thought it was multiply :P

52. ghazi

no for multiplication it should be like this $(n^3)^4=n^{3*4}=n^{12}$..okay?

53. vikayefremova

okay :D

54. ghazi

next? :D

55. vikayefremova

really? :P

56. ghazi

wait a sec

57. vikayefremova

sure

58. ghazi

:)

59. vikayefremova

hello :)

60. ghazi

yea yea...lol..next ? :D

61. vikayefremova

?

62. ghazi

anything to the power zero =1

63. vikayefremova

so it's just 1 ?? :/

64. ghazi

yes

65. vikayefremova

ohh.. :/

66. ghazi

$(10^{4})^0=(10)^{4*0}=10^0=1$ clear?

67. vikayefremova

yes, thank you :)

68. ghazi

next

69. vikayefremova

|dw:1348746024258:dw| :/ i guess i should just divide

70. ghazi

subtract the powers...cuz it is division

71. vikayefremova

oh.. darn it! i got it wrong, againnnn :'(

72. ghazi

$\frac{ t^9 }{ t^7 }=t^{9-7}$

73. vikayefremova

thanks :)

74. ghazi

next

75. vikayefremova

|dw:1348746239915:dw|

76. ghazi

again do the same 10^(9-5)

77. vikayefremova

okay

78. ghazi

see it is general formula for this $\frac{ X^a }{ X^b }=X^{a-b}$ clear?

79. ghazi

a and b are powers

80. vikayefremova

okay :D well i'm done now :)

81. vikayefremova

thank you! :)

82. ghazi

was it containing 8 questions only?

83. vikayefremova

yes this is a different one.. i told you i am done with the previous one :P

84. ghazi

oh..that's great...so next assignment please :D

85. vikayefremova

they are all just math problems.. like these ones :P that we just did

86. ghazi

cool...

87. ghazi

??

88. vikayefremova

89. ghazi

$5.3*10^{-3}$ we have done it before ...haven't we?

90. vikayefremova

nope.. i dont think so :/

91. ghazi

yes we have done..it,, well next ?

92. ghazi

??

93. vikayefremova

|dw:1348749125210:dw|is there like a formula to help solve this? for scientific notation? theres a lot of problems like this, i just need to know the formula.. like for this one

94. ghazi

$1.72*10^4=17200.00=17200$

95. vikayefremova

oh so.. all i have to do is multiply?

96. ghazi

see you need to put number of zeroes after digits and the total number of zeroes will be that which is given in power....so 1720000 ...now decimal is placed before 2 digits so put it before two zeroes 17200.00=17200

97. ghazi

you have to multiply that's it

98. ghazi

and general formula for multiplication in power is $10^n= 100000000.........n$ n number of zeroes in front of 10

99. ghazi

clear?

100. vikayefremova

ohh .. yes clear :)

101. ghazi

next?

102. vikayefremova

what if the number is negative?

103. ghazi

then but it this way one less zero in front of the digit $10^{-3}=0.001$ okay?

104. ghazi

$10^{-n}=0.000000(n-1) 1$ one less zero in front of the digit but after decimal

105. ghazi

??

106. vikayefremova

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107. ghazi

wow!! correct ..you got it

108. vikayefremova

okay :)

109. ghazi

next?

110. vikayefremova

but i am still confused on the last one.. what was the answer for that?? 17200?

111. ghazi

see it's 1.72*10^(4)=1.72*10000= 1720000 then put decimal before two digits from the right it will be 17200.00

112. vikayefremova

but thats not one of the options :( is it suppose to be written as 17,200?

113. ghazi

okay you can write it as 17,200 zeroes after decimal is of no use 17200.00=17200=17,200

114. vikayefremova

okay good.. :D

115. ghazi

yea thank you

116. vikayefremova

hehe.. noo, Thank You! :D

117. ghazi

:) YW

118. ghazi

@vikayefremova

119. ghazi

question? :)

120. vikayefremova

this question seems kinda easy but i dont get it :/ solve: 3t =9

121. ghazi

$3t=9$ now divide both sides by 3$\frac{ 3t }{ 3 }=\frac{ 9 }{ 3 }$ what you got?

122. ghazi

|dw:1350086413223:dw|

123. ghazi

clear?

124. vikayefremova

oh...right, that was simple :P yess clear :)

125. ghazi

next ;)

126. vikayefremova

Solve: -15 = 3b. ?

127. ghazi

again divide both sides by 3

128. vikayefremova

divide both sides?

129. vikayefremova

oh

130. vikayefremova

okay :)

131. ghazi

$\frac{ -15 }{ 3}=\frac{ 3b }{ 3 }$

132. vikayefremova

do you divide -15 by 3 and 3 by 3? :/

133. ghazi

yes, dividing on both sides means, dividing -15 by 3 and 3 on the right side by 3

134. vikayefremova

alright, well thanks :)

135. vikayefremova

|dw:1350086785430:dw|

136. ghazi

multiply both sides by -4

137. ghazi

|dw:1350086866918:dw|

138. vikayefremova

28 ?

139. ghazi

what you got?

140. ghazi

wow

141. ghazi

that's correct

142. vikayefremova

thanks :)

143. vikayefremova

. A roller coaster descends a hill at a rate of 80 feet per second. The bottom of the hill is 400 feet from the top. How long will it take the coaster rides to reach the bottom?

144. ghazi

see it covers 80 feet in a second so 80 feet ---- in 1 sec 1 feet in ----1/80 seconds therefore 400 feet in -----$\frac{ 1 }{ 80 }*400=....$

145. ghazi

clear?

146. vikayefremova

yep, clear thank you

147. ghazi

n--e--x--t

148. vikayefremova

1. Solve the equation below for y: y - 10.24 = 5.3

149. ghazi

add 10.24 on both the sides

150. ghazi

$y-10.24+10.24=5.3+10.24$ what you got?

151. vikayefremova

15.4? or 24

152. ghazi

how come 24 :( ? it's just 10.24+5.3=15.54

153. vikayefremova

i told you im bad at math :(

154. ghazi

it's cool :) next

155. vikayefremova

|dw:1350087946973:dw|

156. ghazi

i think we have done this kinda problem before ....but let's have a look again

157. ghazi

$4\frac{ 1 }{ 2 }=\frac{ 4*2+1 }{ 2 }=(8+1)/2=\frac{ 9 }{ 2 }$

158. ghazi

clear?

159. ghazi

solve for 3 3/8 now

160. ghazi

$a \frac{ b }{ c }=\frac{ a*c+b }{ c }$

161. vikayefremova

okay let me try :P

162. ghazi

are you done?

163. vikayefremova

nope :P

164. ghazi

what are you fighting with

165. vikayefremova

i am stuck on this question :(

166. ghazi

$3\frac{ 3 }{ 8 }=\frac{ 3*8+3 }{ 8 }=\frac{ 24+3 }{ 8 }=\frac{ 27 }{ 8 }$ clear?

167. vikayefremova

yeah i got that, but what do you do then? add both answers? cuz there are two problems

168. ghazi

no, now see the next step

169. vikayefremova

okay :)

170. ghazi

your question looks like $\frac{ 9 }{ 2 }=h-\frac{ 27 }{ 8 }$add 27/8 on both sides $\frac{ 9 }{ 2 }+\frac{ 27 }{ 8 }=h-\frac{ 27 }{ 8 }+\frac{ 27 }{ 8 }$ now what you got ?

171. ghazi

?

172. vikayefremova

ughhh.. :P

173. ghazi

lol

174. vikayefremova

wait a sec

175. vikayefremova

;)

176. ghazi

$h=\frac{ 9 }{ 2 }+\frac{ 27 }{ 8 }$

177. vikayefremova

I am sooooo confused!!

178. vikayefremova

help me :(

179. ghazi

see -x+x=0 ...similarly (-27/8)+(27/8)=0 clear?

180. vikayefremova

is this correct?

181. ghazi

see, $h=\frac{ 9 }{ 2 }+\frac{ 27 }{ 8 }=\frac{ 9*4+27 }{ 8 }=\frac{ 36+27 }{ 8 }=\frac{ 63 }{ 8 }$

182. ghazi

now, if you look at option A which is 7 7/8 $7\frac{ 7 }{ 8 }=\frac{ 7*8+7 }{ 8 }=63/8$

183. ghazi

so it's A

184. vikayefremova

ohhh yeah, wow that was kinda hard.. but thanks :)

185. ghazi

ha a ha haa ha aa aahahahahahahahhaaaa

186. vikayefremova

:P

187. vikayefremova

this is embarrasing :( i feel stupid

188. ghazi

no, you should be proud , you learned something :) feel good

189. vikayefremova

thanks :)

190. ghazi

next?

191. vikayefremova

192. ghazi

let's say number is X now subtract 3.4 which means X-3.4=-14.2 x-3.4+3.4= -14.2+3.4 x= ?

193. vikayefremova

17.6 or 18?

194. ghazi

-10.8 :(

195. ghazi

you have to subtract 3.4 from 14.2

196. vikayefremova

i thought you said to add sorry :(

197. ghazi

for what lol?

198. vikayefremova

for being stupid :P

199. ghazi

oh come on ... next question ?

200. vikayefremova

3. After a morning rain there was 3/4 inches of rain in the rain gauge. It rained again and two hours later the rain gauge showed 2 1/3 inches of rain. Write an equation to show how much rain fell in those two hours. Let r represent the amount of rain that fell.

201. vikayefremova

A. r - 3/4 = 2 1/3 B. 3/4 + r = 2 1/3 C. 2 1/3 + 3/4 = r D. r + 2 = 2 1/3

202. ghazi

hmm

203. vikayefremova

B?

204. ghazi

well total reading should be like 3/4+r=2 1/3

205. vikayefremova

is it right? :D

206. ghazi

of course

207. vikayefremova

thanks :)

208. ghazi

again :(

209. vikayefremova

haha yes, again and again :D

210. ghazi

okay next?

211. vikayefremova

Solve: x - 23.3 = 17.8

212. ghazi

add 23.3 on both the sides

213. vikayefremova

41.1 ?

214. ghazi

x-23.3+23.3=17.8+23.3

215. ghazi

correct

216. vikayefremova

thanks :D

217. ghazi

huh :/

218. vikayefremova

hehe :D

219. ghazi

next ;)

220. ghazi

?

221. vikayefremova

|dw:1350091704065:dw|

222. ghazi

i think your question is incorrect

223. vikayefremova

yes it is.. i just dont know how to type it here, thats why i have to draw it :/ that is how you write it

224. ghazi

is it $9y=\frac{ 3 }{ 5 }$?

225. vikayefremova

yes thats it :D

226. ghazi

so why to add...just divide both sides by 9

227. vikayefremova

ohh divide? :P

228. vikayefremova

thanks!!

229. ghazi

what you got?

230. vikayefremova

umm

231. ghazi

umm ???????? lol

232. ghazi

y=1/15

233. vikayefremova

how did you get that? :/

234. ghazi

|dw:1350092173572:dw| clear?

235. vikayefremova

clear, mr. smartie pants :P lol

236. ghazi

yea yea ....liar ;)

237. vikayefremova

hehe :D well, i think we are done here :P

238. ghazi

sure?

239. vikayefremova

yes.. :(

240. ghazi

next? not just one,....as much as you are left with ;) don't worry

241. vikayefremova

okay sure.. umm... Tamara can mow 2/5 acre in one hour. If her yard is 2 acres, how many hours will it take her to mow the entire yard?

242. ghazi

2/5= 0.4 acre so 0.4 acre ---- in 1 hour 1 acre --- in 1/0.4 hours therefore 2 acres---- in $\frac{ 1 }{ 0.4 }*2=5$

243. vikayefremova

okay well, thanks for all your help :) thats it

244. ghazi

i know you're lying

245. vikayefremova

haha lol how did you know? :D

246. vikayefremova

seriously, that was the last question :P

247. ghazi

because you are scrolling down the screen and there are a few more ....

248. vikayefremova

well, just one more left :P

249. ghazi

250. vikayefremova

workers can paint 3/4 of a house in 1 day. How many days would it take them to paint 6 houses?

251. ghazi

3/4= 0.75 so 0.75 house in 1 day 1 house in 1/0.75 days therefore 6 houses in $\frac{ 1 }{ 0.75 }*6=8 days$

252. vikayefremova

alright thanks :)

253. ghazi

fine

254. ghazi

@vikayefremova

255. vikayefremova

yes..? :D

256. ghazi

257. vikayefremova

nope :P

258. ghazi

259. vikayefremova

easy..?

260. ghazi

do you know what is the value of $\sqrt{27}$

261. ghazi

see 5*5=25 so sqrt 27 must be around 5 but more than that....and 6*6=36 so sqrt 27 must be between 5 and 6 clear? @vikayefremova

262. vikayefremova

alright thanks :)

263. vikayefremova

same thing with this problem?

264. ghazi

$-\sqrt{(456)}= -21.35$ so what does it look like?

265. vikayefremova

D. ?

266. ghazi

correct

267. vikayefremova

268. ghazi

fencing states for perimeter of the boundary okay? so now it's a square field so let's say length of side = X therefore X*X=2000 x^2=2000 x=$x=\sqrt{2000}=44.72$ and perimeter of square = 4*X=4*44.72=178.88 clear?

269. ghazi

what does it look like now?

270. vikayefremova

c. ?

271. ghazi

impressive ...yes :)

272. vikayefremova

thanks :D

273. ghazi

;)

274. vikayefremova

is this correct?

275. vikayefremova

because 2*250=500? right

276. ghazi

wait i don't think so

277. vikayefremova

really? why

278. vikayefremova

whyyyy ?

279. ghazi

why you thought it to be 2*250 ?

280. vikayefremova

because in the last problem you multiplied 4 by some number and you got the answer.. i think thats what im suppose to do here.. but im confused :/

281. ghazi

oh i multiplied by 4 because it was perimeter of square that is 4 * sides

282. vikayefremova

ohh right! ... hmm , well what am i suppose to do here then?

283. ghazi

i guess, it's kinda complex, because area of fringes is not given so i guess (side)^2=500 side=22.36 okay?

284. ghazi

now 4*22.36=89.44 =90 i think this should be the right choice

285. vikayefremova

so it's B.? i thought it was 22? which is A.? right..?

286. ghazi

it's B as far as i know...but probably it could be A

287. ghazi

clear ? lol

288. vikayefremova

okay, well thats understandable.. thank you :)

289. ghazi

okay

290. vikayefremova

wanna see something kinda funny..? :D

291. ghazi

this is the same question

292. vikayefremova

i know.. i got the wrong answer.. it wasnt A :P

293. ghazi

why did you tick A oh gosh

294. ghazi

i told you it's B

295. ghazi

don't worry still it's good 7 outta 8 :)

296. vikayefremova

haha its fine.. :) thanks for your help :)

297. vikayefremova

thanks :)

298. ghazi

for what?

299. vikayefremova

thanks for helping me :)

300. ghazi

oh my kudos

301. vikayefremova

:)

302. vikayefremova

do you know how to tell real numbers from rational numbers?

303. ghazi

i think so , well every real number can be expressed as rational number let's say 'a' is a real number then in rational for it can be written as $a=\frac{ a }{ 1 }$

304. ghazi

similarly, if you have to write some real number from rational number you can write it

305. ghazi

??

306. vikayefremova

okay, so then what is a irrational number?

307. ghazi

numbers that can't be expressed in the form of simple fraction or any real number that can't be expressed as the ratio

308. ghazi

also it cannot be represented as terminating or repeating decimals like 22/7

309. ghazi

@vikayefremova clear?

310. vikayefremova

i dont understand :/

311. ghazi

let's say $\frac{ 2 }{ 4 } and \frac{ 22 }{ 7 }$ now we can see that value of 2/4 =0.5 which ends and terminates at 0.5 after division but 22/7 = 3.14285.......it doesn't end at all so 22/7 is irrational and 2/4 is rational clear? irrational means which never terminates or never ends after numerous division

312. vikayefremova

ohh okay :D i understand now :) thank you

313. ghazi

cool ..

314. vikayefremova

listen to this please :) ....this has nothing to do with maths by the way :P

315. ghazi

wait a sec :)

316. vikayefremova

one more.. listen to this please :) i am sure you will like it ;)

317. vikayefremova

haha :D

318. ghazi

wait a sec

319. vikayefremova

sure :)

320. ghazi

i wish i could give you more medals :'(

321. vikayefremova

hehe :)

322. ghazi

yea yea :'(

323. vikayefremova

and this is your favorite song, the one you'll be listening to for a while ;) haha :D

324. ghazi

okay lets see ...wait let me listen ..sorry i couldn't see this ..you know why

325. vikayefremova

why...?

326. vikayefremova

hahaha im sure you love this song ;)

327. ghazi

heeyyyyyy :) love you so much.....you are such a sweet heart <3

328. ghazi

listen to this

329. ghazi

listen to this ...hope you will like it

330. vikayefremova

hahaha :) who is this??

331. ghazi

listen to it first ..it is the same the one you have posted :)

332. vikayefremova

yes i know, i am listening to it now :) its funny :D

333. ghazi

funny :(

334. vikayefremova

never mind :(

335. ghazi

yea yea :)

336. vikayefremova

its nice.. :) that guy's voice sounds kinda funny.. but its cool :)

337. ghazi

he is the same ..the one you have posted

338. vikayefremova

really..?? i mean i know its the same song, but its not the same guy..is it?? he seems different

339. ghazi

no they both are same..this song was first sung in a pub with two people listening to it...and then it was released on a broad scale ...and became on of my favorite ...because it has got something you know that :'(

340. vikayefremova

oh thats nice, i didnt know that.. they just seem different :) thats all

341. ghazi

hmm :)

342. ghazi

??

343. ghazi

@vikayefremova what is it?

344. vikayefremova

|dw:1350869089158:dw|

345. ghazi

wow !! wait a sec....

346. vikayefremova

yep that is in russian :P sorry for my bad hand writing.. :P

347. ghazi

it's amazing :) :) and extremely wonderful...but not more than the creator

348. vikayefremova

thanks :P

349. ghazi

<3 you

350. vikayefremova

oh sure :) i love you too <3

351. ghazi

:)

352. jasonxx

keep this up mates lol