Integers and Absolute Values - Free Educational videos for Students in K-12

Integers and Absolute Values - By Anywhere Math

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00:0-1	Car has a velocity of 35 mph and carby has
00:05	a velocity of negative 40 mph . Which car has
00:09	the greater speed . Mhm . Welcome to anywhere ,
00:30	Math . I'm Jeff , Jacobson . And today we're
00:32	gonna talk about integers and absolute value . Alright ,
00:36	let's talk about those cars . But before we do
00:38	, we need to determine what's the difference between velocity
00:42	and speed . Ah speed . You should know .
00:45	Well it's how fast something's going , but velocity you
00:48	might not know . And philosophy is very similar to
00:51	speed . It says how fast something is going ,
00:54	but it also tells you the direction it's going .
00:58	Which is why uh in the example one car was
01:01	going a negative velocity . So let's talk about that
01:05	car a had a velocity of 35 mph . Carby
01:16	had a velocity of Negative 40 mph . Okay ,
01:25	yeah , this one's positive . The velocity here is
01:28	positive and the velocity here is negative . And basically
01:32	what you can think of is , well , this
01:34	car is going forward which is why it's positive .
01:38	This was negative . It's the opposite which means it
01:40	would be going backwards or in reverse . Um So
01:44	that's the velocities . Now let's figure out what the
01:47	speed is because that was a question which had the
01:49	greater speed . Well the speed here is simple .
01:53	It's still 35 mph . Okay . That's that's how
01:58	fast it's going . How about the speed for carby
02:03	? Remember with speed we don't care the direction ,
02:05	just how fast it's going in reverse . That's fine
02:10	. It's going 40 mph . That's how fast it's
02:16	going . So which car was faster or had the
02:19	greater speed ? Uh huh . Car B All right
02:26	. So today's lessons about absolute value and integers .
02:30	Well , first let's talk about what what are integers
02:32	. Are yet uh integers you can think of are
02:35	just positive and negative . Whole numbers . Okay ,
02:49	so 1234 Those are integers and so on . But
02:56	also the negative of those . Right ? We've got
02:58	zero negative one , negative two negative three and so
03:03	on . Those are also introduced . So it's pretty
03:06	simple when you think introduces think positive and negative whole
03:09	numbers . They don't include fractions . They don't include
03:12	decimals , only whole numbers that are either positive or
03:16	negative . Next let's talk about what absolute value is
03:20	. Absolute value is simply the distance A number is
03:31	from zero on a number line . It's just how
03:42	far away is that number from zero ? Okay ,
03:45	that's all the absolute value is . And when you
03:48	think about a distance distance is always going to be
03:50	positive . Okay , So when you take the absolute
03:53	value of a number , you're never gonna get a
03:55	negative value because you can have a negative distance .
03:59	If someone asks you , oh how far did you
04:02	run today And you you're not going to say negative
04:04	five miles . That doesn't make sense . Distance is
04:07	always positive . And same thing when we take absolute
04:10	values of numbers , you always get a positive number
04:13	. Let's try some examples . All right , here's
04:15	example . One find the absolute value of two .
04:19	And if you remember absolute value , we're talking ,
04:21	how far away is that number from zero ? On
04:24	a number line ? So let's draw a number line
04:28	. Okay . Yeah . Yeah . So I'll just
04:31	start here is maybe negative 101 and two . Okay
04:38	. So too on the number line is going to
04:40	be right here . Well , to figure out the
04:44	absolute value of two , we just need to figure
04:46	out how far away is that from zero ? Well
04:49	, it's pretty simple here . zero . There's two
04:52	. What is that distance ? It's too . So
04:56	the absolute value of two is 2 . So when
05:00	you write absolute value of a number , Yeah .
05:06	You write like this with these two vertical lines and
05:09	you read it . The absolute value of two is
05:15	two . That's the distance . Okay , notice it's
05:18	positive . Right ? How far away ? Let's try
05:21	another example . All right . Here's another example .
05:24	Find the absolute value of -3 . If you want
05:27	to try this on your own first , go ahead
05:29	and pause the video . Remember absolute value . How
05:32	far away is negative three from zero on a number
05:35	line . So , let's start with another number line
05:39	. Uh negative three . I'll make that right there
05:42	, negative to negative 101 Well , here's negative three
05:50	right there . How far away is it from zero
05:56	from here ? 20 What is that distance ? Well
06:01	, pretty simple . That distance is three . So
06:06	yeah , The absolute value of -3 is three .
06:16	Okay . Again notice it's positive . Distance is always
06:20	going to be positive . So when you take the
06:21	absolute value of number , you're going to get something
06:24	positive . Okay , here's some to try on your
06:27	own . All right . Here's the last example compare
06:34	one and the absolute value of negative fort again .
06:38	If you want to try this on your own ,
06:39	go ahead and pause . Um So I don't think
06:42	we need to draw um a number line again .
06:46	But if you want to you can Well , we
06:48	know one is one . That's fine . We just
06:51	need to know well what is the absolute value of
06:52	-4 ? And hopefully you remember again , How far
06:59	away is that from zero ? Well , negative four
07:02	is only four away from zero . So the absolute
07:04	value of four . I'm sorry the absolute value of
07:07	-4 is four . Okay , So hopefully you're starting
07:11	to realize any time you take the absolute value of
07:14	a number , you're going to get a positive number
07:17	right ? So if you have a negative number here
07:21	it would become positive . If you had a positive
07:23	number here , the absolute value of positive number stays
07:26	positive . Okay ? Um So then all we gotta
07:29	do is compare one and four . Well one is
07:33	less than four , therefore one is less than the
07:38	absolute value of -4 . Okay , that's the last
07:44	example . Here's something to try on your own .
07:50	Thanks for watching and if you like this video please
07:53	subscribe . Yeah .

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