Grade 8 MATH Term 1 Week 2: Multiplication & Division of Monomials | MATATAG - Quarter 1 (Tagalog) — Transcript

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1. 0:02[Musika]
2. 0:08Hello everyone. Welcome po sa ating
3. 0:10Matth Eip YouTube channel where we make
4. 0:12math easier to understand with our free
5. 0:14Tagalog tutorials. Our topic for today
6. 0:17is all about multiplication and division
7. 0:19of monomials. But before we start our
8. 0:21lesson, if you're new here, subscribe
9. 0:24para po updated ka sa ating mga lessons.
10. 0:26And to my fellow teachers, we also offer
11. 0:28our editable PowerPoint presentations to
12. 0:31save you time in your lesson
13. 0:32preparation. You can check the link
14. 0:34below or message us on our Facebook
15. 0:36page. All right, so let's get started
16. 0:39with our lesson.
17. 0:42Okay, so class at the end of this
18. 0:44lesson, you will be able to multiply and
19. 0:46divide simple monomials leading to the
20. 0:49derivation of the loss of exponent.
21. 0:52Okay. So, proceed na po tayo kaagad sa
22. 0:54multiplying monomials. Ano po yung rule
23. 0:57natin when it comes to multiplication?
24. 0:59Okay, so let's have this exploration po
25. 1:01muna. We will observe this example so
26. 1:04that at the end we are able to derive
27. 1:06kung paano po yung rule when it comes to
28. 1:09multiplication of monomials. So, as you
29. 1:11can see, we have here two monomials
30. 1:14multiplied to each other. We have here
31. 1:16x^ 3 or x cu
32. 1:19x^ 4 or to^ 4. So ano po 'yung magiging
33. 1:23sagot niya? The first thing we are going
34. 1:25to do is to expand. So the way to expand
35. 1:29this is since this is x 3 we are going
36. 1:32to write down 3x. Since x 3 means
37. 1:37multiply x by itself 3 times. So that's
38. 1:40why we have here 3x. Paano naman po yung
39. 1:43x^ 4? Ilang x po yan? Correct? There are
40. 1:464x. Okay? Ito na po yung tinatawag
41. 1:49nating mga factors. Ano po ang factors?
42. 1:53Factors are numbers or variables
43. 1:55multiplied together to form a product.
44. 1:58Okay. So ano pong gagawin natin sa mga
45. 2:00factors na to? We are going to combine.
46. 2:03Okay? Combine natin yung mga factors. So
47. 2:06in our first monomial, x^ 3, we have 3
48. 2:09factors of x. And then x^ 4 we have 4
49. 2:12factors of 4. Ia-add lang po natin sila.
50. 2:15Pagsasamahin natin silang lahat. So
51. 2:17ilang x na po iyan? There are 1 2 3 4 5
52. 2:216 and 7. So ano po kaya ang magiging
53. 2:24sagot? Yes, it's actually x 7. The
54. 2:28question is, do the expressions have the
55. 2:30same base? Pare-parehas po ba yung base
56. 2:33nung dalawang monomial? Yes. Ano po yung
57. 2:36base nila? It's x. Another question,
58. 2:40what happen to the exponents? Ano pong
59. 2:42nangyari sa ating mga exponents? 3 and
60. 2:464. Bakit siya naging seven? Okay,
61. 2:49correct. Ang ginawa lang natin dito is
62. 2:51we add the two exponents. That's why our
63. 2:55exponent on our answer is 7.
64. 3:00Okay. Another example here we have here
65. 3:02x^ 4
66. 3:05y^ 6. What will be our answer? So if
67. 3:09we're going to do the same process
68. 3:10kanina we are going to expand. So we
69. 3:13have here x^ 4. Ilang factors po yung
70. 3:15ating x diyan? There are 4 factors of x.
71. 3:19And then next one. Ilang factors po yung
72. 3:22ating y6? Okay ganun din po. Anim no?
73. 3:26Depende sa ating exponent. So that is
74. 3:29the expansion. These are the factors.
75. 3:31Now we are going to combine these
76. 3:33factors. So how do we combine these two
77. 3:35factors? Okay. The answer here is x 4
78. 3:41y6.
79. 3:42May nagbago po ba sa kanila? Okay.
80. 3:45Parang pinagdikit lang po natin sila.
81. 3:48Ano? We cannot combine this two because
82. 3:52they have different base. Okay? Magkaiba
83. 3:55po yung base nila. So we cannot just
84. 3:57make this uh 10 no? Hindi natin pwedeng
85. 4:01i-add yung 4 and then six to make it 10
86. 4:04because they have different base. So
87. 4:07again, do the do the expressions have
88. 4:09the same base? Hindi po. Okay. What
89. 4:12else? What happen to the exponents? As
90. 4:15is po yung ating mga exponents. Wala
91. 4:17pong nangyari. We just write them beside
92. 4:20each other. Wala na po yung
93. 4:21multiplication sign. Yan na po yung
94. 4:23mismong sagot.
95. 4:25Okay. So based on those two
96. 4:27explorations, we can now derive the rule
97. 4:29on multiplying monomials. Okay. So ano
98. 4:32po yung rule natin? O po. So we have
99. 4:34here x m x n x m + n. Meaning if we have
100. 4:42here a base which is x and then we have
101. 4:45an exponent which is m and then we will
102. 4:48multiply it with another po monomial
103. 4:50which is x^ n. Ang gagawin lang po natin
104. 4:54sa mga exponents nila ay ia-add lang po
105. 4:56natin. So whether uh magkaiba or parehas
106. 4:59ang kanilang exponents, we can just add
107. 5:02the exponent. Ang tawag po natin sa rule
108. 5:04na ito ay product rule. Okay? And take
109. 5:08note, this rule only works if the bases
110. 5:11are the same. Halimbawa, we have x or a
111. 5:15or number man yan. As long as parehas po
112. 5:18iyung base, we can apply this rule. Pag
113. 5:20magkaiba na po yung bases nila just like
114. 5:23in exploration number two, we cannot
115. 5:26just add the exponents. Kokopyahin lang
116. 5:28po natin. Okay? So ito po ang product
117. 5:32rule.
118. 5:34Okay. To give you an example, we have
119. 5:36here an activity. Let's find the product
120. 5:38of the following monomials. Okay. Again,
121. 5:41so you can always pause this video if
122. 5:43you want to answer this on your own
123. 5:45first. But if you want to watch first
124. 5:48this examples, you just follow along
125. 5:50while we answer each number. Okay? So
126. 5:52una, number one, we have here x^ 8
127. 5:55x^ 2. So following our product rule,
128. 5:59let's check first kung parehas po ba ang
129. 6:01kanilang base. All right. Do they have
130. 6:03the same base? Okay, tama. Now we will
131. 6:07just add the exponent. So therefore our
132. 6:09answer is x^ 10. Okay? 8 + 2 is equ to
133. 6:1410. And then kinopy lang natin yung base
134. 6:17niya. Next one. Do they share a common
135. 6:20base? Yes. And then we just add 2 and 3.
136. 6:22So the answer is a 5. Next. Parehas ba
137. 6:27ang base? Yes. Okay. Not necessarily
138. 6:30variable. So 2 yung base natin and then
139. 6:34ang exponent natin ay 2 and 5. So we
140. 6:37just add this we will get 7. You can
141. 6:40further uh simplify this by multiplying
142. 6:44two seven times to itself. Okay? Para
143. 6:46makuha niyo yung final answer. Pero
144. 6:48pwede na rin ito depende sa teachers
145. 6:50niyo. Okay? Next one we have here y 4 y.
146. 6:55So since wala itong exponent ang ibig
147. 6:58sabihin niyan it is rais to 1. Okay?
148. 7:01Therefore we just add 1 and then 4. So
149. 7:04magiging y 5 again kaya naging 5 kasi
150. 7:09may one siya dito. Next we have here uh
151. 7:13three monomials multiplied. Okay? So
152. 7:16paano ito? So do they share a common
153. 7:19base? Yes they share X and then Y. Dito.
154. 7:23X and Y. x and y din. So first let's
155. 7:27have x. Okay? Ano ba ang exponent ng x?
156. 7:30Exponent niya dito is 1. Exponent niya
157. 7:32dito sa second is 2. And then exponent
158. 7:35niya dito is 1. So you just add those
159. 7:37three. 1 + 2 + 1, it will give you 4.
160. 7:42Next one we have y. Exponent niya ay 2.
161. 7:45Dito naman ay 1. Dito naman ay 1. So ang
162. 7:48sagot natin ganito. Alr. Ia-add lang
163. 7:52natin lahat ng exponent. Therefore, our
164. 7:55final answer is x^ 4 y^ 4.
165. 8:01Okay, let's have more example. We have
166. 8:03here number 6. We have here monomial 9x^
167. 8:073 or 9x cu y 4 and then multiplied to
168. 8:114x² y³. So ano pong pinagkaiba nito sa
169. 8:15mga examples natin kanina? So if you
170. 8:18observe meron na po tayong mga numerical
171. 8:21coefficients yung 9 and then 4. So what
172. 8:23do we do with this? So just like in our
173. 8:26exploration we can expand this just to
174. 8:29demonstrate no para lang ma-explain ko
175. 8:31sa inyo. If we expand all the factors we
176. 8:34still have 9 and 4 as factors dito. So
177. 8:37mu-multiply lang natin sila. Okay? 'Yung
178. 8:40mga factors ng x cu nandito. 1 2 3.
179. 8:43Factors ng x² 1 and 2. Gann din po sa y.
180. 8:47Alr. So all you have to do is to
181. 8:50multiply
182. 8:519 and 4, you will get 36. And then you
183. 8:54combine all these factors. X^ 5, y^ 7. 3
184. 8:59+ 2 ito kaya naging 5. And then 4 + 3 to
185. 9:03make it 7. So again, just multiply the
186. 9:05numerical coefficients if there are
187. 9:08coefficients. Okay? Kailangan pa bang
188. 9:11isulat natin itong expanded form? No, no
189. 9:14need po. No'no? Sinulat ko lang po 'yan
190. 9:16for demonstration. You can go away with
191. 9:18this and directly write the final
192. 9:21answer.
193. 9:23Next number seven we have here uh we
194. 9:25still have numerical coefficients. -5 x³
195. 9:29y² * 3x³ cu y^ 4. So let's multiply -5
196. 9:36we will get -15 and then x³ cu x³ cu
197. 9:41just add 3 + 3 we get x^ 6 y² * y^ 4 2 +
198. 9:484 is 6 okay -1x^
199. 9:526 y^ 6 okay for our last example we have
200. 9:56here - uh 6 a^ 3 bc^ 4 -3 3
201. 10:04C D. Okay. So anong pinagkaiba naman
202. 10:08nung number eight na ito? So if you
203. 10:10observe dito sa second monomial meron na
204. 10:13tayong extra na variable na wala dito sa
205. 10:16first monomial. So what do we do with
206. 10:18this one? Ganun din po. All we have to
207. 10:21do is to multiply yung mga common na ah
208. 10:25elements nila o yung mga variables nila
209. 10:27or even the numerical coefficient. So -6
210. 10:30* -3 ah we get + 18. A^ 3 * A is A^ 4.
211. 10:39B B since ang exponent nila ay 1, we
212. 10:43just add 1 + 1 you get 2. Okay? B 2.
213. 10:47Next C 4 * C^ 1. 4 + 1 is 5. So we have
214. 10:54C^ 5. And then since si D wala naman
215. 10:57siyang partner dito sa first monomial,
216. 11:00you just add or you just uh copy yung D
217. 11:04natin dito. Okay? Therefore, our answer
218. 11:06is 18. A^ 4 B s c^ 5 D.
219. 11:13Not all bases are the same. Doesn't need
220. 11:16na magkakaparehas lahat ng bases dito.
221. 11:20Okay. So those are our examples for
222. 11:22multiplying monomials. Okay. So let's
223. 11:25now proceed to dividing monomials. But
224. 11:27before that, let's have first a short
225. 11:29commercial break for our dear teachers.
226. 11:40[Musika]
227. 11:46[Palakpakan]
228. 11:56[Palakpakan]
229. 12:00[Musika]
230. 12:05Okay. So first let's explore these
231. 12:07examples. So we can also derive the
232. 12:09rules in division of monomials. Okay? So
233. 12:12we have here the first
234. 12:14fraction. As you can see we have 5 / 5
235. 12:18or 5 / 5. So anong sagot dito? Okay? Yes
236. 12:23correct. It is 1. Okay ah in short we
237. 12:26can just cancel this out. Okay? Meaning
238. 12:29ah magiging one na po siya. Okay, it is
239. 12:32equal to 1. And also with this one, -3 /
240. 12:36-3, we just uh remove or cancel this
241. 12:40out. Magiging uh one. No, 'yun po 'yung
242. 12:42ginagawa natin when the numerator and
243. 12:45denominator are the same. So nagiging
244. 12:48one lang po siya. Hindi po zero ha, one
245. 12:51lang. Okay, take note of that. So next,
246. 12:54what can you say about its dividend and
247. 12:57divisor? So, where is the dividend?
248. 13:01Okay, the one in the numerators. Okay,
249. 13:03so we have 5, -3, and 10. These are all
250. 13:06the dividends and then the divisor are
251. 13:09the one in the denominator. So parehas
252. 13:13lang po ano, we have same numerator and
253. 13:15denominator. So we have same dividend
254. 13:18and divisor. Next what you what have you
255. 13:21noticed in the quoti of the given
256. 13:24integer? Okay? So ano po ang kanilang
257. 13:26sagot? Lahat po iyan ay 1. Allr. So
258. 13:31let's explore more on this example. We
259. 13:33have here a variable x with an exponent
260. 13:36of 5 and then sa denominator a variable
261. 13:39x with an exponent of 3. So how do we
262. 13:43divide this? We will expand first. Kunin
263. 13:46natin yung mga factors. Okay? So we have
264. 13:48here x. Ilan po bang x ang factor nito?
265. 13:51So there are 1 2 3 4 5. That's why it
266. 13:55was x^ 5. Next one. How many x dito sa
267. 13:59denominator? Yes, 3. Okay. Now, just
268. 14:03like in dividing those fractions, we can
269. 14:05actually cancel out kung ano iyung nasa
270. 14:08numerator na nasa denominator din. So we
271. 14:11can cancel this first pair, second pair
272. 14:15and then third pair. So ano na po yung
273. 14:17naiwan? We have 2x on the numerator. So
274. 14:21yun na po yung ating sagot. Since dito
275. 14:25sa baba, ano na po ang naiwan dito sa
276. 14:27denominator?
277. 14:29Okay hindi po siya zero. Okay? May
278. 14:32naiwan pa rin po dito na one na hindi
279. 14:34lang po naisulat. Okay. Therefore, itong
280. 14:37dalawang x na to ang denominator nila ay
281. 14:401. So just combine this factors,
282. 14:42magiging x 2 na po siya. Okay. So, what
283. 14:46did we observe from this? Do the
284. 14:49expressions have the same base? Yes,
285. 14:52parehase.
286. 14:53Next, what happen to the exponents? So,
287. 14:57anong nangyari sa mga exponents natin?
288. 15:00Yung 5 tsaka 3 dito, ang naging result
289. 15:03sa final answer ay 2. So anong ginawa
290. 15:05natin kay 5 and 3 para maging 2?
291. 15:10Okay, correct. We just subtracted those
292. 15:13two exponents. Okay? So kung kanina sa
293. 15:17multiplication
294. 15:18nag-add tayo, ngayon naman ay
295. 15:21magsu-subtract tayo. Ito na po yung
296. 15:23tinatawag nating quotient rule. Sa
297. 15:26product rule, nag-add tayo ng exponents.
298. 15:29Dito sa quotient rule, magsu-subtract po
299. 15:32tayo. It's the opposite. So if you have
300. 15:34here x m or any exponents divided by x^
301. 15:38n or any exponent, we just subtract m
302. 15:41and n. So it will be x^ m - n. Ah by the
303. 15:46way, this rules, this rule only works if
304. 15:49the bases are the same. Parehas din po
305. 15:51sa product rule. Dapat parehas po ang
306. 15:53base nila. Kung magkaiba po ang base
307. 15:55nila, you cannot apply this rule. Okay?
308. 15:58Another thing to take note is ito po
309. 16:01'pag negative 'yung exponent. Halimbawa,
310. 16:03we have here x^ m and then x^ n. 'Ag
311. 16:06pinag-subtract mo sila, ang lalabas ay
312. 16:09negative. Anong gagawin natin? Okay.
313. 16:12Yung magiging numerator natin is 1.
314. 16:16Tapos yung variable na may negative
315. 16:18exponent mapupunta dito sa denominator.
316. 16:21At ang kanyang exponent ay magiging
317. 16:23positive. So mamaya magbibigay po tayo
318. 16:26ng example nito. Al right. Where m is
319. 16:29less n. Okay? Kaya magiging negative
320. 16:32iyung
321. 16:33exponent niya. Okay. So we have here
322. 16:35this examples. So again, if you want to
323. 16:37answer this first para lang matry mo,
324. 16:39ma-test mo, you can do so. Pero if you
325. 16:42want to watch first this examples,
326. 16:44panoorin niyo po muna yung gagawin
327. 16:46natin. So number one, we have here m^5,
328. 16:50n^ 7 o^3 / m^ 4 n^ 3 o3.
329. 16:58So the first question is pare-parehas ba
330. 17:00ang kanilang base? Yes, pare-parehas.
331. 17:03Now, can we apply the quotient rule?
332. 17:06Yes. So, we have here the answer. M n I
333. 17:11mean m n. Okay. Paano po nangyari? 5 - 4
334. 17:17is 1. That's why we have here m^ 1. Do
335. 17:20we need to write one here? No. Next one.
336. 17:247 - 3 is 4. So we have here n.
337. 17:29Next, dito naman po sa O, 3 - 3 is 0.
338. 17:34Okay. So, any number or variable with an
339. 17:38exponent of zero is equal to 1. Hindi po
340. 17:42zero ha. one lagi. So, do we need to
341. 17:45write one here? No need. Okay. Kaya ito
342. 17:48cancel out na po iyan. Pag parehas po
343. 17:50ang exponent ng nasa numerator at nasa
344. 17:53denominator with the same base, you just
345. 17:55cancel out. Okay. Dito sa number two,
346. 17:58okay? Nbigay ko na po yung sagot. We
347. 18:00have here 8x 5 / 2x 2. So pag may mga
348. 18:06numerical coefficient tayo dito, we just
349. 18:09divide. So 8 / 2 is 4. And then for our
350. 18:14x 5 - 2 is 3. That's why 4x^ 3. Okay.
351. 18:19Next number 3. Ano 'yung magiging sagot
352. 18:21natin? So we have here -3
353. 18:25df
354. 18:272. So paano nangyari yon? -21 / 7 is -3.
355. 18:34Next one. D^ 3 / D^ 2.
356. 18:39So you just write D. Okay? Ra to 1 yan
357. 18:43pero huwag na nating isulat yung 1. Next
358. 18:45one E7. And then meron ding E7 dito sa
359. 18:49baba. You can just cancel this out.
360. 18:51Okay, cancel this out. Next, f
361. 18:55/ f^ 3. 5 - 3 is 2. That's why f 2.
362. 19:00Okay. Number 4. We have here -54 / 9.
363. 19:06Okay. Pag dinivide natin ito magiging
364. 19:08pos 6. Okay, that's why we have here 6.
365. 19:11Dito naman sa x natin we have x^ 5 / x^
366. 19:153. 5 - 3 is 2. Okay? And then dito y 8 /
367. 19:22y^ 7 8 - 7 is 1. That's why we have y
368. 19:28we don't need to write 1. Okay? Ganun
369. 19:31lang po siya.
370. 19:34Okay? Let's have number five. This time,
371. 19:36ano po ang pinagkaiba nito sa previous
372. 19:38examples natin? If you notice iyung nasa
373. 19:41numerator natin, tatlo po iyung variable
374. 19:44diyan while here in the denominator,
375. 19:46dalawa lang. So meron pong Z na walang
376. 19:49pares dito sa denominator. Okay. So if
377. 19:52we divide 36 by -4, our answer is okay
378. 19:57-9. Okay, next one. We have here x^ 3.
379. 20:01X^ 2 naman dito sa denominator. 3 - 2 is
380. 20:061. That's why we have here x only. Next,
381. 20:09y^ 3 / y^ 3. Cancel this out. So wala na
382. 20:13po yung y diyan. And then we just copy
383. 20:16yung zito po sa numerator. Okay? So
384. 20:20ganun lang po. Next for number six.
385. 20:23Okay, let's find out kung ano ang
386. 20:24gagawin natin dito. In this examples
387. 20:28from 6 to 8, you have to pay attention
388. 20:30kasi iba sa mga previous examples natin.
389. 20:33If you notice yung mga nandito sa
390. 20:35numerator, mas maliit po yung kanilang
391. 20:38exponent as compared sa mga nandito sa
392. 20:41denominator. So eventually our answer
393. 20:44will be negative. Remember 2 - 5 is -3
394. 20:50and then 3 - 4 is -1. So ang sagot natin
395. 20:54ganito. X^-3
396. 20:57y-1.
397. 20:59Pero meron po ba tayong polynomial na
398. 21:03negative ang exponents? If you go back
399. 21:05to our previous lesson on what
400. 21:07polynomial is,
401. 21:09okay, wala po. So ang gagawin natin,
402. 21:12ico-convert natin ito sa polynomial. So
403. 21:16using our quotient rule, yung nabanggit
404. 21:18po natin kanina na negative exponents,
405. 21:22ang gagawin lang natin is ibababa natin
406. 21:25ang mga ito. So magiging fraction na po
407. 21:28siya.
408. 21:29Okay. And this fraction, if you notice,
409. 21:32meron na po tayong numerator na one sa
410. 21:34taas. Tapos ito itong mga ito na
411. 21:38negative ang kanilang exponents, ibinaba
412. 21:40lang po natin sa denominator. Now, pag
413. 21:43binaba na natin sa denominator, yung
414. 21:45negative na exponents, magiging positive
415. 21:47na po siya. So we have here x^ 3 + 3 and
416. 21:52then y + 1 okay instead of - 1. Okay
417. 21:57ganun lang po siya. Now for number seven
418. 22:00we have here another example kung saan
419. 22:03may mga variables din tayo na mas maliit
420. 22:06ang exponents as compared dito sa baba.
421. 22:09Take note, negative po yung ating
422. 22:10numerator and then positive yung ating
423. 22:12denominator. So ah pag ganito po laging
424. 22:15ang sagot natin is negative. Okay.
425. 22:18Negative divided by positive is
426. 22:20negative. So the next one is we will now
427. 22:23subtract the exponents. Okay? So ito po
428. 22:25ang magiging ah sagot niya. -3a^-1,
429. 22:31b^-2
430. 22:32and then c. Since wala naman pong C dito
431. 22:36sa denominator, we just copy iyung Co.
432. 22:41Next, since we we cannot have a negative
433. 22:44exponent, ibababa ulit natin itong mga
434. 22:47variables. So hindi po lahat ibababa
435. 22:51yung mga may negative na exponents lang
436. 22:53po ang ibababa natin sa denominator. And
437. 22:57then yung numerator niya magiging 1.
438. 23:00Pero in this case we have a -3
439. 23:05numerical coefficient. So yun na po yung
440. 23:08magiging numerator niya. Okay? Yun na po
441. 23:10yung magiging numerator niya. So we have
442. 23:13-3
443. 23:14Casi
444. 23:16positive naman po yung kanyang exponent.
445. 23:19No need to bring it down. over a b ah
446. 23:24sorry a b 2 okay since itong dalawang
447. 23:27variables na ito sila lang po yung may
448. 23:30negative na exponent
449. 23:34okay for number 8 we have here -9 /
450. 23:38npano
451. 23:40po nangyari yan we don't need to write
452. 23:43this part yung mga may negative na
453. 23:45exponent pwede nating idiretso na sa
454. 23:47final answer kung saan yung mga negative
455. 23:50exponents natin is ilalagay na natin
456. 23:53dito sa denominator. Okay? So again,
457. 23:5672/8
458. 23:58is -9. Okay? Yun po ang nasa numerator
459. 24:02natin yung numerical coefficient. Next,
460. 24:06yung mga variables po natin, we have
461. 24:07here m 2. M^2 din po dito sa
462. 24:11denominator. You can just cancel this
463. 24:13out. So huwag na po nating idagdag sa
464. 24:15sagot. Next, n^ 2 / n^ 3. Since ang
465. 24:20sagot natin dito is -1, ang kanyang
466. 24:24variable ay nasa denominator. Okay.
467. 24:27Next, p / p^ 7 magiging -4 din po yung
468. 24:33exponent dito. So, ilalagay din po natin
469. 24:35siya sa denominator. Okay, that's why.
470. 24:38So, ito po lahat yung mga examples
471. 24:40natin. I hope uh naintindihan niyo po.
472. 24:43Pwede niyo pong i backward kung meron
473. 24:46pong mga numbers or items na hindi niyo
474. 24:48pa naintindihan. So after this I'm now
475. 24:51going to show you exercises so you can
476. 24:54also practice on your own.
477. 24:59Okay. So this is now your activity. You
478. 25:01find the product or quotient of the
479. 25:03following monomials. So part A is for
480. 25:06the product and then part B is for the
481. 25:09quotient. Okay, I'm going to give you a
482. 25:11few minutes or take your time as much as
483. 25:15you need. You can pause this video para
484. 25:17po magawa niyo muna on separate sheet of
485. 25:19paper and then you can just come back
486. 25:21later to check your answers. Okay? Good
487. 25:24luck po and God bless sa inyong
488. 25:26pagsagot.
489. 25:33Okay, I hope you are now ready. I'm now
490. 25:34going to show you the answers for this
491. 25:37activity. Okay. So, for letter A and
492. 25:40letter B, ito na po 'yung mga sagot.
493. 25:42Okay. Paki-check na po ang inyong mga uh
494. 25:45answers and then I hope ah nakuha niyo
495. 25:47po 'yung mga tamang sagot. Okay. So
496. 25:50again, for our next lesson, we will now
497. 25:53have multiplication and division of
498. 25:55binomials and multinomials naman. Okay.
499. 25:59So I hope to see you again on the next
500. 26:01one. Thank you for listening. God bless
501. 26:03and bye for now. Kung meron kang
502. 26:06natutunan sa video na ito, please click
503. 26:08the subscribe button to support this
504. 26:10channel para mas matulungan ulit kita sa
505. 26:13mga susunod mo pang matth lessons. Lagi
506. 26:16mong tatandaan ang matth ay para sa
507. 26:18lahat. At ako si teacher Van.
508. 26:21Nagsasabing dito sa matth isip lamang
509. 26:24ang nag-iisip. God bless and see you on
510. 26:27the next video.
511. 26:29[Musika]