Question

Which expressions represent the distance between the two points?

Choose all answers that are correct.

The number line shows two points with coordinates negative 11 and positive 7.

A.
|–11 – 7|

B.
|–11 + 7|

C.
|7 – (–11)|

D.
–11 – 7

Answer 1

What do you think?
If you are not sure, you can actually write out a number line mark -11 & 7 and count. But there is a mathematical definition, do you know what it is?

Answer 2

Can you draw the number line?

Answer 3

yea hold on

Answer 4

https://static.k12.com/calms_media/media/1474500_1475000/1474523/3/63a2f6ce9e7dc52c936f30f2dba06a6476d3c0b9/MS_IMB-140402-1002601.jpg

Answer 5

Ok, great! And can you count how many numbers it takes to get from one point to the other?

Answer 6

nope XD

Answer 7

jk

Answer 8

ha ha ha

Answer 9

10

Answer 10

sorry dont know how 2 count

Answer 11

It is 11 numbers from -11 to 0.

Answer 12

Then 7 more to get to 7

Answer 13

What does that get us in total?

Answer 14

18

Answer 15

Good. So now, can you find the value of the options?

Answer 16

c?

Answer 17

Yep, that gets 18. :-) Are there any other options?

Answer 18

b

Answer 19

Hm, can you show me how you simplified b?

Answer 20

well its does egsactly what we did

Answer 21

No, not quite. We simplify inside first. -11+7 is -4

Answer 22

oh

Answer 23

And the absolute value makes it positive, so 4

Answer 24

Any other thoughts?

Answer 25

no

Answer 26

What do you get for A when you simplify it?

Answer 27

im not completely awake btw

Answer 28

Ok, no worries :-)

Answer 29

18?

Answer 30

That's what I get. :-) What about D?

Answer 31

again 18

Answer 32

Hm, I don't see an absolute value around that one,

Answer 33

so I get -18 for D.

Answer 34

oh yea for got about the - part XD

Answer 35

No worries :-) So, what does that give us for the final answer?

Answer 36

a&b

Answer 37

no wait a&c

Answer 38

Right :-)

Answer 39

like i said not awak XD

Answer 40

It's all good