Even and Odd Numbers - Basic Introduction - Free Educational videos for Students in K-12 | Lumos Learning

Even and Odd Numbers - Basic Introduction - Free Educational videos for Students in k-12


Even and Odd Numbers - Basic Introduction - By The Organic Chemistry Tutor



Transcript
00:01 in this video , we're going to focus on even
00:03 and odd numbers . But let's begin our discussion with
00:06 even numbers . What are even numbers ? Even numbers
00:12 are basically multiples of two . Examples include two ,
00:18 four , 68 10 , 12 , 14 and so
00:25 forth . So those are even numbers . Odd numbers
00:31 are basically numbers that are not even Example of odd
00:37 numbers are one , three , 57 nine , 11
00:44 and so forth . They might be wondering what about
00:48 zero , zero is an even number . It's a
00:52 multiple of 20 times two is zero . Now ,
01:00 consider these examples , The number is 25 , 46
01:15 , And 239 determine if these numbers are even or
01:19 odd . So free deposit video . So how can
01:24 we tell if 25 is even or odd ? Simply
01:28 look at the ones digit 5 , 5 is an
01:32 odd number . So 25 is going to be odd
01:36 Now . What about 46 ? So looking at the
01:40 last digit here , Six is even . So 46
01:44 is going to be an even number . 1 74
01:49 4 is even . So 1 74 Is an even
01:53 number . Both 46 and 1 74 . They are
01:56 divisible by two . Any number from which you could
01:59 divide by two and get an integer . As a
02:03 result , it's going to be an even number two
02:07 . Doesn't go into 2 39 . So that's not
02:09 gonna be even And the fact that if we look
02:12 at 99 is an odd number , so to 39
02:15 is going to be an odd number . Let's work
02:19 on some other examples . Try these numbers 1067 ,
02:26 5830 And 47,000 531 . So 1,067 if you look
02:37 at the last number , that number is odd .
02:40 So the entire number will be odd . 58 30
02:44 . This ends in a zero Zeros . Even so
02:47 58 30 will be even 5 47,031 1 is odd
02:52 . So that whole number is going to be odd
02:56 . So that's a quick and simple way in which
02:59 you can identify even in odd numbers . Now let's
03:02 focus on operations of these numbers . What happens when
03:08 you add an even number with another even number ?
03:13 Will you get an even number or an odd number
03:16 ? The sum of two even numbers is an even
03:20 number . For instance , if we would add four
03:22 and 8 , Both for even numbers , the result
03:26 will be even will get 12 , eight plus 10
03:31 Is 18 . Another even number 132 which is even
03:35 plus 204 . That's even When you add up those
03:39 numbers , you're gonna get 336 which is even as
03:45 well . So the sum of two even numbers will
03:50 give you an even results . Now , what happens
03:56 when we add two odd numbers ? An odd number
04:01 plus an odd number will give you an even number
04:06 five plus tree . Those are two out numbers is
04:10 equal to eight , 3-plus 9 . Another set of
04:14 to our numbers , That is 12 , 12 ,
04:18 even 13 plus 19 . That's going to be 30
04:23 to another even number seven plus 11 . 2 odd
04:29 numbers will give you an even result 18 . So
04:33 the sum of two odd numbers is an even number
04:36 and the sum of two even numbers is also an
04:39 even number . Now , what if we add an
04:45 even number and an odd number when you add these
04:49 to ? The result will be odd . two is
04:54 an even number . Three is an odd number .
04:57 Two plus three is five , that's odd . Four
05:01 is even seven is odd , 4-plus 7 is 11
05:05 , which is also odd . And here we have
05:09 eight plus nine , eight plus nine is 17 ,
05:12 which is odd . So anytime you add an even
05:15 number with an odd number , you're going to get
05:17 an odd result or an odd number . Now ,
05:20 let's consider some other situations . What happens if we
05:26 were to multiply an even number with another even number
05:33 ? What result do you think we're going to get
05:36 ? What's your guess on this one ? An even
05:38 number times an even number gives you an even number
05:43 . So let's look at some examples , if we
05:45 multiply four and eight , This will give us 32
05:51 . Six is an even No . 12 is an
05:53 even number six times 12 is 72 . Now ,
05:59 what about two times 6 ? Two times six is
06:03 12 . That's also even . So anytime you multiply
06:08 an even number by an even number , you're gonna
06:11 get an even result . Now , what's going to
06:14 happen if we multiply an odd number with another odd
06:21 number . So three is odd And the same is
06:25 true for five . If we multiply three and 5
06:28 It's going to give us 15 . Seven is odd
06:33 , Nine is odd as well , seven times nine
06:36 . That's 63 . Now , let's try multiplying 11
06:40 x 13 . 11 times 13 that's 143 . So
06:46 we can see that whenever you multiply two odd numbers
06:50 , you're going to get an odd result . Now
06:57 , what if we were to multiply and even and
06:59 an odd number ? What's going to happen ? Two
07:06 is even Audrey assad , two times 3 is six
07:10 and even number four is even five is odd ,
07:16 four times five is 20 eight is even nine ,
07:20 Izod , 8 times nine is 72 . So an
07:23 even number times an odd number we'll give you and
07:28 even result . Now , what about subtraction ? What
07:33 happens if we were to subtract an even number with
07:38 another even number ? Let's see if we take a
07:42 large even number and subtract it by a small even
07:44 number . 10 -4 is six , 18 minus six
07:55 is 12 , 24 -10 is 14 . So anytime
08:02 you subtract an even number with another even number ,
08:05 you're going to get an even results , this is
08:11 the reverse of adding to our numbers which gave us
08:13 an even result . Now when adding to two odd
08:19 numbers , we got an even number . Let's see
08:21 what's going to happen if we subtract to our numbers
08:28 . So let's take a large odd number and subtracted
08:31 by A small odd number . 13 -76 , 17
08:37 -9 is eight , 11 -5 is six . So
08:43 an odd number minus another odd number is an even
08:47 number . Now if you would have taken even number
08:54 and subtracted by an odd number the result will be
08:59 odd . Or if you reverse it let's say if
09:04 you take an odd number and subtracted by an even
09:06 number , you'll also get an odd number to illustrate
09:13 this . If we were to subtract 18 , A
09:16 large even number by a small number will get 11
09:19 which is odd . Or if we could take 12
09:22 subtracted by three , That will give us an odd
09:24 number nine . Now let's see if we take a
09:27 larger odd number , like 15 subtracted by a small
09:30 even number like four , That will give us the
09:32 odd number 11 . If we were to take a
09:35 nine subtracted by two it would give us the odd
09:38 number seven . So an even minus an odd number
09:41 or an odd number minus an even number . We'll
09:44 give you an odd number . So that's basically it
09:48 for this video hopefully gave you a good introduction into
09:51 even and odd numbers and as well as their operations
00:0-1 .
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