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Concept of Integers | MathDali
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00:00.0
Easy, fast, and fast
00:02.4
Equals math daily
00:03.8
Numbers, numbers, numbers
00:08.5
We love numbers
00:10.4
Welcome sa ating Math Daily Online
00:14.7
Magandang araw mga classmates
00:16.6
Kumusta kayo?
00:17.9
Ako si Kuya Robbie Domingo at your service
00:20.1
At nandito na naman tayo
00:21.6
Kung saan sasamahan natin
00:23.5
ng excitement at saya
00:25.6
ang pag-aaral ng math
00:28.1
Muli, eto ang Math Daily Online
00:31.9
Ang numbers ay napak-importante sa ating buhay
00:36.6
And we see a lot of it everywhere
00:39.4
Pamilyar tayo sa whole numbers
00:42.2
Sa counting numbers
00:44.0
Sa fractions and decimals
00:48.2
E dito
00:49.5
Pamilyar din ba kayo?
00:53.6
Negative 5
00:54.8
Positive 3
00:56.7
Positive 9
00:58.1
Negative 2
00:59.4
Ano ba itong mga positive at negative?
01:02.9
Napapakam tuloy ako sa ilong ko
01:04.9
Hindi po ito swab test
01:06.6
Ang tawag dito ay
01:09.5
numerong integers
01:12.2
Eto ang integers
01:15.7
Integers is a whole set of numbers
01:18.5
that can be positive, negative, or zero
01:22.9
And it cannot be a fractional number
01:26.8
It cannot be a fractional number
01:27.0
It cannot be a fractional number
01:27.5
It cannot be a fractional number
01:27.6
Kadalasan natin nakikita ang mga numerong ito sa thermometer
01:32.2
Kapag nag-check tayo ng ating temperature
01:35.0
Kapag nare-receive na natin ang monthly electric bill natin
01:39.5
Bank book at stock market
01:42.4
Diba? May plus, may minus
01:44.8
Palaging tatandaan natin
01:46.7
Anything above the reference point is a positive integer
01:51.8
And anything below the reference point is negative
01:57.0
Reference point
01:59.2
Ano yung sabihin nun?
02:01.1
Ang ibig sabihin lang nun
02:02.2
Ay zero
02:03.7
Maraming mga salita na ginagamit at nagre-represent
02:08.0
ng real life situation
02:10.0
involving positive and negative integers
02:13.4
Ngayon
02:14.7
Kailan nga ba nagiging positive ang integers?
02:19.1
Kapag ang mga salita na naririnig
02:21.2
or nababasa natin
02:22.4
ay nagpapakita ng gain
02:24.2
ng increase
02:26.0
profit
02:27.0
temperature above zero
02:29.6
money deposit
02:31.7
east, north, and up
02:33.8
Okay?
02:35.9
East, north, and up
02:37.9
Kailan naman nagiging negative ang ating integers?
02:42.7
Kapag naririnig or nababasa natin
02:45.2
or nagpapakita ng loss o kawalan
02:48.6
decrease, pwede
02:51.0
backward from starting point
02:53.6
deficit o kakulangan
02:56.0
deficit o kakulangan
02:57.0
temperature below zero
02:59.0
money withdrawal
03:00.5
Kuha tayo ng pera sa banko
03:02.5
West, south, at down
03:06.0
For sure
03:08.0
Narinig nyo na yan
03:10.0
Narinig nyo na yung mga terms na ito
03:12.0
Magbibigay ako ng halimbawa
03:14.0
ng mga real life situation
03:16.0
at alamin natin ang integers
03:18.0
na nire-represent ng mga ito
03:21.0
Carlos body temperature
03:24.0
Carlos body temperature
03:26.0
is
03:26.9
increased by 39 degrees Celsius
03:31.9
Ang taas, no?
03:32.9
The word increased by
03:34.9
ay isang halimbawa ng
03:37.9
positive integer
03:40.9
The increase by 39 Celsius
03:44.9
means that the temperature is above zero
03:47.9
Ang mga numbers na above zero ay positive numbers
03:50.9
Sa makatawid, we represent this integer as
03:54.9
positive 39
03:56.9
or may label
03:58.9
positive 39 degrees Celsius
04:02.9
or may label positive 39 degrees Celsius
04:03.9
Next
04:05.9
Sabrina dives
04:07.9
five meters below sea level
04:10.9
o sa ilalim
04:12.9
o paano natin ito pwedeng i-express as integer
04:16.9
Ang key word natin dito ay
04:18.9
below sea level
04:21.9
or sa ilalim
04:22.9
diba, ng dagat
04:24.9
Ito ay pababa
04:25.9
Ibig sabihin
04:27.9
negative
04:29.9
negative, positive
04:31.9
We can say that
04:33.9
five meters below sea level is
04:36.9
negative five
04:39.9
or label negative five meters
04:44.9
Madali lang, diba?
04:46.9
Alamin lang natin, directional lang ito
04:48.9
Taas ba?
04:49.9
Baba?
04:50.9
Left?
04:51.9
Right?
04:52.9
Kaya-kaya natin ito
04:53.9
Subok pa tayo!
04:54.9
Ito
04:55.9
Si Radha
04:56.9
Radha lost
04:58.9
eight pounds after a week of doing her daily exercise
05:02.9
Good job, Radha!
05:04.9
Yan ang pwedeng maging New Year's solution din natin
05:08.9
Paano naman natin itong i-express as integer?
05:11.9
Ang key word natin dito ay
05:13.9
lost
05:14.9
nawala
05:15.9
Ibig sabihin, ito ay
05:18.9
O, hindi siya pwedeng maging positive
05:21.9
kasi nawala, diba?
05:22.9
Kaya
05:23.9
negative
05:25.9
So, ang integer ng sentence na ito ay
05:28.9
negative eight
05:30.9
or negative eight pounds
05:33.9
Magaling naman, mga classmates
05:36.9
Okay
05:37.9
Classmates
05:38.9
Naalala niyo pa ba yung number line?
05:40.9
O
05:41.9
Huwag kayong tumingin sa t-shirt ko
05:43.9
Hindi ito number line
05:45.9
Para tong grid nga, no?
05:47.9
Dito sa lesson natin
05:49.9
magkagamit din natin ito
05:51.9
Gamit ang number line,
05:53.9
may kita natin na ang negative integers ay nasa kaliwa ng zero
05:57.9
at ang positive integers ay nasa kanan ng zero
06:00.9
Ang positive integers ay maaaring isulat
06:04.9
ng meron o walang positive sign
06:07.9
Okay?
06:08.9
Uulitin ko
06:09.9
Ang positive integers ay maaaring isulat
06:13.9
with or without yung positive sign
06:16.9
Pero ang negative integers ay dapat may negative sign
06:23.9
Ang zero naman ay hindi positive
06:26.9
at hindi rin negative
06:28.9
Kaya, dito kailangan lagyan ng either positive or negative sign
06:32.9
Dito sa lesson natin, we can also learn the principle of opposite
06:37.9
The opposite is denoted by signed numbers
06:42.9
The positive sign and negative sign represent
06:46.9
or represent actually opposites
06:48.9
Opposites of a number are also called
06:52.9
additive inverse
06:55.9
Bumabalik na yung lesson natin, di ba?
06:57.9
Inverse meaning kabaligtaran
07:01.9
For example,
07:03.9
10 kilometers south means south
07:07.9
Kapa ba?
07:08.9
Negative 10
07:10.9
While 10 kilometers north means positive 10
07:17.9
The opposite of positive 10 is negative 10
07:22.9
Kaya naman, the additive inverse of positive 10 is negative 10 and vice versa
07:29.9
Kabaligtaran lang
07:31.9
Okay?
07:32.9
E ano naman ang additive inverse ng positive 3 or inverse?
07:39.9
Correct!
07:41.9
It is negative 3
07:44.9
Since ang positive 3 ay 3 steps to the right of 0
07:47.9
Ang additive inverse naman nito ng ating positive 3
07:51.9
ay 3 steps to the left of 0
07:56.9
Kaya ang opposite or additive inverse ng positive 3 ay negative 3
08:02.9
Eh, ito naman!
08:05.9
Ano ang additive inverse negative 7?
08:08.9
Ah, it is positive 7
08:14.9
Since ang negative 7 ay 7 steps to the left of 0
08:18.9
Ang additive inverse naman nito ay 7 steps to the right of 0
08:23.9
Ang concept ng integers ay magamit natin sa mga susunod na lesson natin sa math dali
08:28.9
At masaalamin pa natin ang integers mula sa
08:32.9
Ordering
08:33.9
Comparing
08:35.9
Adding
08:36.9
Subtracting
08:37.9
Multiplying
08:38.9
And dividing integers
08:40.9
Pero for now guys
08:42.9
Focus muna tayo sa ideya and konsepto ng integers, okay?
08:47.9
Short recap tayo bago tayo dumanit sa ating math dali quiz
08:51.9
Tandaan na ang integers is a whole set of numbers that can be positive, negative, or 0
09:00.9
And we can also use a number line to plot the set of integers
09:04.9
Integers located at the right of 0 are positive integers
09:09.9
While integers located to the left or at the left of 0 are negative integers
09:17.9
Additive inverse are the opposites of the particular number
09:21.9
At tandaan din yung mga words na ginagamit to show positive and negative integers
09:28.9
Ito yung mga words
09:32.9
Ilan lang yan at marami pang iba
09:36.9
Okay, taas ang kamay kung positive na kayo sa ating math dali quiz time
09:44.9
Handaan na ba kayo?
09:47.9
Hmm, wala akong nakikita ng negative answers
09:50.9
Ah, kung ganun
09:52.9
Magsimula tayo sa bawat tanong
09:54.9
Meron lamang tayong 20 seconds to answer
09:56.9
Be ready dahil ito na ang ating math dali quiz time
10:01.9
Question number 1
10:03.9
It is a set of whole numbers that can be positive, negative, or 0
10:10.9
Is it A integers, B number lines, C additive inverse, or D positive and negative?
10:16.9
20 seconds go
10:18.9
Hmm, list of whole numbers or set of whole numbers that can be positive, negative, or 0
10:28.9
Oh, sipin niyo ano nga ba inaaral natin ngayon?
10:35.9
Time is up
10:37.9
Ang tamang sagot ay A, integers
10:40.9
Oh, integers is a whole set of numbers or is a set of whole numbers
10:45.9
Or is a set of whole numbers that can be positive, negative, or 0
10:50.9
Oh, classmate
10:52.9
Huwag po kayong malilito sa mga terminologies at definitions ha
10:56.9
Baka mapagbaliktad-baliktad natin
10:58.9
Hindi pwede yan
11:00.9
Ngayon, hindi lang whole numbers, fractions, and decimals ang alam natin
11:05.9
Alam din natin ang integers
11:08.9
Para hindi kayo malito kung anong difference ng integers
11:11.9
Isipin niyo na lang
11:13.9
Integer, parang avengers
11:15.9
May superhero, may mga kontrabida, diba?
11:21.9
Pero kailangan buo sila
11:24.9
May negative, may positive
11:26.9
Hindi pwedeng hati
11:28.9
Dahil pag hati-hati yung avengers, hindi sila kompleto
11:32.9
Oh, sipin niyo yan
11:34.9
Mayroong positive, may negative
11:37.9
Okay, again, integers is a whole set
11:41.9
Or is a set of whole numbers that can be positive, negative, or 0
11:49.9
Parehas ba tayo na nakuha ang sagot?
11:52.9
Okay, let's proceed to question number 2
11:57.9
True or false?
11:59.9
Zero is neither positive or negative
12:03.9
True or false? 20 seconds, go!
12:08.9
Zero
12:09.9
Meron bang positive zero?
12:11.9
Meron bang negative zero?
12:13.9
Ano nga ba?
12:17.9
Zero
12:19.9
Sipin natin mabuti ba?
12:22.9
And time is up
12:24.9
Ang tamang sagot ay
12:26.9
True
12:28.9
Zero is neither positive nor negative
12:31.9
Natatandaan mo ba yung pinag-aralan natin kanina?
12:34.9
Gamit yung number line natin
12:37.9
Makikita natin ang mga negative integers ay nasa kaliwa ng zero
12:42.9
At ang positive integers ay nasa kanan naman
12:45.9
Ang positive integers ay maaaring isulat ng meron o walang positive sign
12:50.9
Ang negative, dapat palaging may negative sign
12:54.9
Ang zero naman, hindi siya positive
12:57.9
Hindi rin siya negative
12:59.9
Kaya, hindi natin kailangan lagyan ng kahit anong sign
13:02.9
So, ang tanong, tama ba ang sagot mo?
13:05.9
Tama!
13:07.9
Good job!
13:09.9
Ito naman
13:10.9
Tingnan natin kung makakuha niyo itong question number 3
13:15.9
Write the corresponding integer of the given sentence
13:18.9
Jamie gained 5 kilograms
13:22.9
Is it A, negative 5?
13:24.9
Or B, positive 5?
13:26.9
20 seconds, go!
13:29.9
Jamie
13:35.9
Sa mga classmate natin dyan, when you say gaining
13:39.9
It doesn't mean it's a bad thing
13:42.9
Pwedeng gain ng muscle
13:44.9
Pwedeng kailangan lumakas yung resistensya
13:48.9
So, should be positive about everything
13:51.9
Ang outlook natin
13:52.9
And time is up!
13:54.9
Ang tamang sagot ay
13:57.9
Positive 5B
13:59.9
Oh!
14:00.9
Paano natin...
14:02.9
Anong nangyari?
14:03.9
Paano natin naging ganun?
14:04.9
Meron akong ano ah
14:06.9
May sumasabit dito
14:07.9
Parang may positive na sumasabit dito ah
14:11.9
Paano naging positive 5?
14:13.9
I-analyze natin
14:15.9
The word gained or gain ay isang halimbawa ng positive integer word
14:22.9
Jamie gained by 5 kilograms
14:26.9
And that means yung weight niya is above zero
14:30.9
Ang numbers na mas malaki sa zero ay positive 5B
14:34.9
Positive numbers
14:35.9
Sa makatuwid
14:37.9
We can express yung weight na nadagdag sa 5
14:40.9
Or as 5 as
14:41.9
Positive 5 kilograms
14:44.9
Parehas ba tayo ng nakuha ang sagot?
14:49.9
Math galing guys
14:50.9
Ganun lang yun
14:51.9
Positive 5
14:52.9
Pag nag-gain
14:53.9
Pag may nakuha tayo
14:55.9
E dumadagdag
14:56.9
Kaya dagdag tayo
14:57.9
Plus 5
14:58.9
Ang sarap siguro ng ulam ni Jamie no?
15:01.9
Pero mas masarap
15:02.9
Kung dederecho tayo
15:03.9
Sa
15:04.9
Question number 4
15:06.9
Yan
15:08.9
How do you represent the given scenario as an integer?
15:13.9
I withdrew 5,000 pesos from my savings
15:20.9
Tagalog natin ah
15:21.9
Or Filipino
15:22.9
Nag-withdraw ako
15:24.9
Kumuha ko ng pera
15:25.9
Sa banko ng 5,000 pesos
15:28.9
Is it A 5,000
15:30.9
Or B negative 5,000
15:32.9
20 seconds
15:33.9
Go!
15:36.9
Habang ginagawa niyan
15:40.9
Magdadagdag ako
15:42.9
Ng tubig sa akin
15:47.9
At parang nag-withdraw ako ng tubig dito
15:49.9
Ganun lang ibig sabihin nun
15:56.9
Nag-withdraw
15:57.9
Kinuha
15:58.9
Time is up
16:00.9
The word withdraw
16:01.9
Ay isang halimbawa ng
16:04.9
Negative integer word
16:07.9
Kaya naman ang tamang sagot ay
16:09.9
Letter B negative 5,000
16:11.9
I withdraw 5,000 pesos from my savings
16:17.9
That means
16:18.9
The amount of money
16:20.9
Na kinuha mo eh
16:22.9
Is below zero
16:23.9
Ang number na mas mababa o mas malate sa zero
16:26.9
Ay negative numbers
16:28.9
Sa makatawid
16:29.9
We represent this
16:30.9
Withdrawn amount
16:32.9
As negative 5,000
16:36.9
At sa mga classmates natin
16:38.9
Pagdating ng panahon
16:40.9
Pag nagkaroon na kayo ng sariling
16:42.9
Account niyo sa banko
16:43.9
Mas maintindihan natin to
16:45.9
Pero kailangan
16:46.9
I-graspin na yung konsepto
16:48.9
Para handa kayo in the future
16:51.9
Parehas ba tayo ng sagot?
16:53.9
Oh!
16:54.9
Good job!
16:55.9
O handang-handa na pala kayo eh
16:57.9
Kailangan lahat ng mga nakuha niyong pamasko
16:59.9
Doon yun ang ilagay
17:01.9
Sa account natin o
17:02.9
Huwag kayong mag-withdraw
17:03.9
Nang basta-basta
17:04.9
Last question for the day
17:07.9
Diretso tayo sa question number 5
17:09.9
True or false?
17:11.9
The opposite integer of negative 143
17:17.9
Is positive 143
17:20.9
Tama nga ba?
17:21.9
20 seconds starts now
17:24.9
Hmm
17:25.9
True or false?
17:26.9
The opposite integer or
17:28.9
The additive inverse
17:30.9
Of negative 143
17:32.9
Is positive 143
17:37.9
Tama nga ba?
17:39.9
Negative 143
17:41.9
Kabalik ta rin ito
17:43.9
Positive 143
17:45.9
Time is up!
17:46.9
Ang tamang sagot ay
17:48.9
True!
17:49.9
Papasok dito ang napag-aralan natin na
17:51.9
Additive inverse
17:52.9
O yung opposite number
17:54.9
Of a specific number
17:56.9
The positive sign and negative sign
17:57.9
Represents opposite
17:59.9
Kaya ang negative 143
18:02.9
Ay additive inverse
18:03.9
Nang positive 143
18:06.9
Gets?
18:07.9
Gets na gets!
18:09.9
And that's integer for you guys
18:12.9
Dali lang diba?
18:14.9
Ano ba yung nakuha niyong score?
18:16.9
Ah
18:17.9
Ang ba?
18:18.9
Sa mga nakuha niyong scores
18:20.9
Mukhang positive na positive ako
18:22.9
Nang gets na gets yun na
18:23.9
Ang ating lesson for today
18:25.9
Kung nagkamali ka man
18:26.9
It's okay
18:28.9
Ang importante e
18:29.9
Sumubo ka pa rin
18:30.9
At ang maganda rito
18:32.9
Nandito lang kami
18:33.9
Handang tumulong para sa'yo
18:35.9
Good job ka pa rin!
18:36.9
Sobrang nakaka-excite
18:38.9
Yung mga susunod pa rating episodes
18:39.9
Patungkol sa integers
18:41.9
Dahil matututo na tayong mag-arrange
18:43.9
Nang set and orders of integers
18:46.9
You guys
18:47.9
Kaya naman
18:48.9
Yan ang pag-aaralan natin
18:50.9
Next time!
18:52.9
Samaan nyo kami sa susunod na pag-aaral natin
18:54.9
Maraming maraming salamat!
18:55.9
Maraming maraming salamat
18:56.9
Sa lahat ng mga nakasama natin for today
18:58.9
At palaging bisitahin at i-review
19:00.9
Ang lessons natin sa Knowledge Channel
19:02.9
Page on YouTube and Facebook
19:04.9
Dahil free pang balik-balikan
19:05.9
Anytime, anywhere
19:07.9
And that is it for today
19:09.9
I hope
19:10.9
Nag-enjoy kayo sa pag-aaral natin
19:12.9
Oh
19:13.9
Paano guys?
19:14.9
Ako po si Kuya Robbie
19:15.9
Nang kasabing
19:16.9
Isip
19:17.9
Plastika
19:18.9
Equals
19:19.9
Mathnali
19:20.9
We'll see you again next time!
19:25.9
Thank you for watching!