Number Line
posted by Sue on .
If an integer a is pictured on the number line then the distance
from the point on the number line that represents the integer to the origin is ƒaƒ.
Using this idea answer the
following.
a. Explain why ƒa 2 bƒ is the distance between the points that represent the integers a and b.
b. One way to define “less than” for integers is as follows: a , b if and only if a is to the left of b on the number line.
Consequently b . a if and only if b is to the right of a.
Use these ideas to mark on a number line all integers
x such that:
(i) ƒ xƒ , 5 (ii) ƒ xƒ , 1
(iii) ƒ xƒ $ 5 (iv) ƒ xƒ.21

I am uncertain what you need from us.
Draw a number line, starting at zero, marking 1,2,3,4,5,6,7...10
Somewhere put a b above one of the numbers. To the left of b, between zero and b, put an a above a number.
a) The distance from the origin to b is The number at point b. The distance from the origin to a is the number by a.
The question is, how far is it from a to b?
WEll, if we subtract a from b, we get that distance.
b)I don't understand the symbols above. Sorry. 
counting on a number line how do you do that